* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 152 additional inputs, on iter 1 have 104 / 256 * * * * [misc]points: Computing exacts on every 9 of 152 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 152 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 152 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 152 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 90 additional inputs, on iter 2 have 166 / 256 * * * * [misc]points: Computing exacts on every 5 of 90 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 90 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 90 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 53 additional inputs, on iter 3 have 203 / 256 * * * * [misc]points: Computing exacts on every 3 of 53 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 53 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 29 additional inputs, on iter 4 have 227 / 256 * * * * [misc]points: Computing exacts for 29 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 18 additional inputs, on iter 5 have 238 / 256 * * * * [misc]points: Computing exacts for 18 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 13 additional inputs, on iter 6 have 243 / 256 * * * * [misc]points: Computing exacts for 13 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 7 have 247 / 256 * * * * [misc]points: Computing exacts for 9 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 8 have 250 / 256 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 9 have 254 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * [exit]simplify: Simplified to (- (* (+ (* (+ a 3) (* b b)) (* (- 1 a) (* a a))) 4) (- 1 (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) in b * [misc]taylor: Taking taylor expansion of (pow (+ (* a a) (* b b)) 2) in b * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in b * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow a 2) 0) into (pow a 2) * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) in b * [misc]taylor: Taking taylor expansion of (* (* a a) (- 1 a)) in b * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- 1 a) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (* b b) (+ 3 a)) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 3 a) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) in a * [misc]taylor: Taking taylor expansion of (pow (+ (* a a) (* b b)) 2) in a * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (+ 0 (pow b 2)) into (pow b 2) * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) in a * [misc]taylor: Taking taylor expansion of (* (* a a) (- 1 a)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) (+ 3 a)) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) in a * [misc]taylor: Taking taylor expansion of (pow (+ (* a a) (* b b)) 2) in a * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (+ 0 (pow b 2)) into (pow b 2) * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) in a * [misc]taylor: Taking taylor expansion of (* (* a a) (- 1 a)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) (+ 3 a)) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]backup-simplify: Simplify (* (pow b 2) 3) into (* 3 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (* 3 (pow b 2))) into (* 3 (pow b 2)) * [misc]backup-simplify: Simplify (* 4 (* 3 (pow b 2))) into (* 12 (pow b 2)) * [misc]backup-simplify: Simplify (+ (pow b 4) (* 12 (pow b 2))) into (+ (pow b 4) (* 12 (pow b 2))) * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (* 12 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 12 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 2))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 -1) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 1) (* 0 3)) into (pow b 2) * [misc]backup-simplify: Simplify (+ 0 (pow b 2)) into (pow b 2) * [misc]backup-simplify: Simplify (+ (* 4 (pow b 2)) (* 0 (* 3 (pow b 2)))) into (* 4 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (* 4 (pow b 2))) into (* 4 (pow b 2)) * [misc]taylor: Taking taylor expansion of (* 4 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 1) (+ (* 0 0) (* 1 (pow b 2)))) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 -1) (* 1 1))) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 1) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 4 1) (+ (* 0 (pow b 2)) (* 0 (* 3 (pow b 2))))) into 4 * [misc]backup-simplify: Simplify (+ (* 2 (pow b 2)) 4) into (+ (* 2 (pow b 2)) 4) * [misc]taylor: Taking taylor expansion of (+ (* 2 (pow b 2)) 4) in b * [misc]taylor: Taking taylor expansion of (* 2 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ 0 4) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 12 1) into 12 * [misc]backup-simplify: Simplify (+ 0 12) into 12 * [misc]backup-simplify: Simplify 12 into 12 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 1) (+ (* 1 0) (* 0 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 -1) (* 0 1)))) into -1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ (* 4 -1) (+ (* 0 1) (+ (* 0 (pow b 2)) (* 0 (* 3 (pow b 2)))))) into (- 4) * [misc]backup-simplify: Simplify (+ 0 (- 4)) into -4 * [misc]taylor: Taking taylor expansion of -4 in b * [misc]backup-simplify: Simplify -4 into -4 * [misc]backup-simplify: Simplify -4 into -4 * [misc]backup-simplify: Simplify (+ (* -4 (pow (* 1 a) 3)) (+ (* 12 (pow (* b 1) 2)) (* 4 (pow (* 1 a) 2)))) into (- (+ (* 4 (pow a 2)) (* 12 (pow b 2))) (* 4 (pow a 3))) * [misc]approximate: Taking taylor expansion of (+ (pow (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) 2) (* 4 (+ (* (* (/ 1 a) (/ 1 a)) (- 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a)))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (pow (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) 2) (* 4 (+ (* (* (/ 1 a) (/ 1 a)) (- 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a)))))) in b * [misc]taylor: Taking taylor expansion of (pow (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) 2) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (* (/ 1 a) (/ 1 a)) (- 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 a) (/ 1 a)) (- 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 a)) (- 1 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 3 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ (pow (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) 2) (* 4 (+ (* (* (/ 1 a) (/ 1 a)) (- 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of (pow (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) 2) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (* (/ 1 a) (/ 1 a)) (- 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 a) (/ 1 a)) (- 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 a)) (- 1 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) 2) (* 4 (+ (* (* (/ 1 a) (/ 1 a)) (- 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of (pow (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) 2) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (* (/ 1 a) (/ 1 a)) (- 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 a) (/ 1 a)) (- 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 a)) (- 1 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* 4 -1) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]taylor: Taking taylor expansion of -4 in b * [misc]backup-simplify: Simplify -4 into -4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (pow b 2))) (+ (* 0 0) (* (/ 1 (pow b 2)) 1))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 -1)) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 4 1) (* 0 -1)) into 4 * [misc]backup-simplify: Simplify (+ (* 2 (/ 1 (pow b 2))) 4) into (+ 4 (* 2 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (+ 4 (* 2 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow b 2))) (+ (* (/ 1 (pow b 2)) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) 1) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (pow b 2))) (+ (* 0 1) (* 0 -1))) into (* 4 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (* 4 (/ 1 (pow b 2)))) into (* 4 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 3) (* 0 1)) into (* 3 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (* 3 (/ 1 (pow b 2)))) into (* 3 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* 4 (* 3 (/ 1 (pow b 2)))) (+ (* 0 (/ 1 (pow b 2))) (+ (* 0 1) (* 0 -1)))) into (* 12 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) into (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 12 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a))) 2)) (* 1 (pow (* (/ 1 (/ 1 b)) 1) 4)))) into (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * [misc]approximate: Taking taylor expansion of (+ (pow (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) 2) (* 4 (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (- 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a))))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (pow (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) 2) (* 4 (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (- 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a))))))) in b * [misc]taylor: Taking taylor expansion of (pow (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) 2) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (- 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (- 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- a))) (- 1 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 3 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ (pow (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) 2) (* 4 (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (- 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of (pow (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) 2) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (- 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (- 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- a))) (- 1 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (pow (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) 2) (* 4 (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (- 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of (pow (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) 2) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (- 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (- 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- a))) (- 1 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify (+ 0 4) into 4 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (pow b 2))) (+ (* 0 0) (* (/ 1 (pow b 2)) 1))) into (* 2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 1)) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 4 1) (* 0 1)) into 4 * [misc]backup-simplify: Simplify (+ (* 2 (/ 1 (pow b 2))) 4) into (+ 4 (* 2 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (+ 4 (* 2 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow b 2))) (+ (* (/ 1 (pow b 2)) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) -1) into (/ -1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ -1 (pow b 2))) into (- (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* 4 (- (/ 1 (pow b 2)))) (+ (* 0 1) (* 0 1))) into (- (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (/ 1 (pow b 2))))) into (- (* 4 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 3) (* 0 -1)) into (* 3 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (* 3 (/ 1 (pow b 2)))) into (* 3 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* 4 (* 3 (/ 1 (pow b 2)))) (+ (* 0 (- (/ 1 (pow b 2)))) (+ (* 0 1) (* 0 1)))) into (* 12 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) into (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow b 4)) (* 12 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 12 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 12 in b * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a)))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- b))) 1) 4)))) into (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 2 2) * [misc]approximate: Taking taylor expansion of (* (* b b) (+ 3 a)) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* b b) (+ 3 a)) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) (+ 3 a)) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 3 a) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (* b b) (+ 3 a)) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 3 a) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 3 a) into (+ a 3) * [misc]backup-simplify: Simplify (* 0 (+ a 3)) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (+ a 3))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (+ a 3)))) into (+ a 3) * [misc]taylor: Taking taylor expansion of (+ a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (+ a 3))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (+ a 3)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* a (pow b 2))) (* 3 (pow (* 1 b) 2))) into (+ (* 3 (pow b 2)) (* a (pow b 2))) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 3 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 3 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 3 (/ 1 a)) into (+ (/ 1 a) 3) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 a) 3)) into (+ (/ 1 a) 3) * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (+ (/ 1 a) 3))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (+ (/ 1 a) 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 a) 3))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 a) 3)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 (pow (* 1 (/ 1 (/ 1 b))) 2)) (* 1 (* (/ 1 (/ 1 a)) (pow (/ 1 b) -2)))) into (+ (* 3 (pow b 2)) (* a (pow b 2))) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 3 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 3 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 3 (/ -1 a)) into (- 3 (/ 1 a)) * [misc]backup-simplify: Simplify (* 1 (- 3 (/ 1 a))) into (- 3 (/ 1 a)) * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (- 3 (/ 1 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 3 (/ 1 a))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 3 (/ 1 a)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 3 (/ 1 a))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 (pow (* 1 (/ 1 (/ 1 (- b)))) 2)) (* -1 (* (/ 1 (/ 1 (- a))) (pow (/ 1 (- b)) -2)))) into (+ (* 3 (pow b 2)) (* a (pow b 2))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 2) * [misc]approximate: Taking taylor expansion of (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) in b * [misc]taylor: Taking taylor expansion of (* (* a a) (- 1 a)) in b * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- 1 a) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (* b b) (+ 3 a)) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 3 a) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) in a * [misc]taylor: Taking taylor expansion of (* (* a a) (- 1 a)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) (+ 3 a)) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) in a * [misc]taylor: Taking taylor expansion of (* (* a a) (- 1 a)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) (+ 3 a)) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]backup-simplify: Simplify (* (pow b 2) 3) into (* 3 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (* 3 (pow b 2))) into (* 3 (pow b 2)) * [misc]taylor: Taking taylor expansion of (* 3 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 -1) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 1) (* 0 3)) into (pow b 2) * [misc]backup-simplify: Simplify (+ 0 (pow b 2)) into (pow b 2) * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 -1) (* 1 1))) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 1) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 -1) (* 0 1)))) into -1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (pow (* 1 a) 3)) (+ (* 3 (pow (* b 1) 2)) (* 1 (pow (* 1 a) 2)))) into (- (+ (pow a 2) (* 3 (pow b 2))) (pow a 3)) * [misc]approximate: Taking taylor expansion of (+ (* (* (/ 1 a) (/ 1 a)) (- 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 a) (/ 1 a)) (- 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 a)) (- 1 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 3 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 a) (/ 1 a)) (- 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 a)) (- 1 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 a) (/ 1 a)) (- 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 a)) (- 1 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 -1)) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) 1) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 3) (* 0 1)) into (* 3 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (* 3 (/ 1 (pow b 2)))) into (* 3 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ (* 3 (pow (* (/ 1 (/ 1 b)) 1) 2)) (+ (* -1 (pow (* 1 (/ 1 (/ 1 a))) 3)) (* 1 (* (pow (/ 1 b) -2) (/ 1 (/ 1 a)))))) into (- (+ (* 3 (pow b 2)) (* a (pow b 2))) (pow a 3)) * [misc]approximate: Taking taylor expansion of (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (- 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (- 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- a))) (- 1 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 3 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (- 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- a))) (- 1 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (- 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- a))) (- 1 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 1)) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) -1) into (/ -1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ -1 (pow b 2))) into (- (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 3) (* 0 -1)) into (* 3 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (* 3 (/ 1 (pow b 2)))) into (* 3 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ (* 3 (pow (* (/ 1 (/ 1 (- b))) 1) 2)) (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a)))) 3)) (* -1 (* (pow (/ 1 (- b)) -2) (/ 1 (/ 1 (- a))))))) into (- (+ (* 3 (pow b 2)) (* a (pow b 2))) (pow a 3)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (pow (+ (* a a) (* b b)) 2) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (pow (+ (* a a) (* b b)) 2) in b * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in b * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow a 2) 0) into (pow a 2) * [misc]taylor: Taking taylor expansion of (pow (+ (* a a) (* b b)) 2) in a * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (+ 0 (pow b 2)) into (pow b 2) * [misc]taylor: Taking taylor expansion of (pow (+ (* a a) (* b b)) 2) in a * [misc]taylor: Taking taylor expansion of (+ (* a a) (* b b)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (+ 0 (pow b 2)) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (* 0 (pow b 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 1) (+ (* 0 0) (* 1 (pow b 2)))) into (* 2 (pow b 2)) * [misc]taylor: Taking taylor expansion of (* 2 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 1) (+ (* 1 0) (* 0 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 1 1) (+ (* 0 0) (* 0 (pow b 2)))))) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* b 1) 4)) (+ (* 2 (pow (* b a) 2)) (* 1 (pow (* 1 a) 4)))) into (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) * [misc]approximate: Taking taylor expansion of (pow (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) 2) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (pow (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) 2) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) 2) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) 2) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (pow b 2))) (+ (* 0 0) (* (/ 1 (pow b 2)) 1))) into (* 2 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow b 2))) (+ (* (/ 1 (pow b 2)) 0) (* 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow b 4)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a))) 2)) (* 1 (pow (* (/ 1 (/ 1 b)) 1) 4)))) into (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * [misc]approximate: Taking taylor expansion of (pow (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) 2) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (pow (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) 2) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) 2) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) 2) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (pow b 2))) (+ (* 0 0) (* (/ 1 (pow b 2)) 1))) into (* 2 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow b 2))) (+ (* (/ 1 (pow b 2)) 0) (* 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow b 4)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a)))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- b))) 1) 4)))) into (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (pow (+ (* a a) (* b b)) 2)) (exp (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (496 enodes) * [exit]simplify: Simplified to (* (pow (exp 4) (+ (* (* b b) (+ 3 a)) (* (* a a) (- 1 a)))) (exp (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (log (* (pow (exp 4) (+ (* (* b b) (+ 3 a)) (* (* a a) (- 1 a)))) (exp (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))) 1)) * * * * [misc]progress: [ 2 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* 4 (* (* b b) (+ 3 a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (306 enodes) * * [misc]simplify: iters left: 1 (335 enodes) * [exit]simplify: Simplified to (* (* 4 (* b b)) (+ 3 a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (+ (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* (* a a) (- 1 a)))) (* (* 4 (* b b)) (+ 3 a))) 1)) * * * * [misc]progress: [ 12 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* b b) (+ 3 a)) 4) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (290 enodes) * * [misc]simplify: iters left: 1 (330 enodes) * [exit]simplify: Simplified to (* (+ (* a 4) 12) (* b b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (+ (+ (pow (+ (* a a) (* b b)) 2) (* (* (* a a) (- 1 a)) 4)) (* (+ (* a 4) 12) (* b b))) 1)) * * * * [misc]progress: [ 13 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* b b) (+ 3 a)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (* b b) (+ a 3)) * [misc]simplify: Simplified (2 1 2 2 2 1) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (pow (* (* b b) (+ a 3)) 1)))) 1)) * * * * [misc]progress: [ 15 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* b b)) (log (+ 3 a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (+ (log (* b b)) (log (+ 3 a))) * [misc]simplify: Simplified (2 1 2 2 2 1) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (exp (+ (log (* b b)) (log (+ 3 a))))))) 1)) * * * * [misc]progress: [ 17 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* b b) (* b b)) (* b b)) (* (* (+ 3 a) (+ 3 a)) (+ 3 a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * [exit]simplify: Simplified to (* (pow (+ a 3) 3) (* (pow b 3) (pow b 3))) * [misc]simplify: Simplified (2 1 2 2 2 1) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (cbrt (* (pow (+ a 3) 3) (* (pow b 3) (pow b 3))))))) 1)) * * * * [misc]progress: [ 20 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* b b) a) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (* (* b a) b) * [misc]simplify: Simplified (2 1 2 2 2 2) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (+ (* (* b b) 3) (* (* b a) b))))) 1)) * * * * [misc]progress: [ 25 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* a (* b b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (* a (* b b)) * [misc]simplify: Simplified (2 1 2 2 2 2) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (+ (* 3 (* b b)) (* a (* b b)))))) 1)) * * * * [misc]progress: [ 26 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ 3 a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ a 3)) * [misc]simplify: Simplified (2 1 2 2 2 2) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* (* b b) (* (cbrt (+ 3 a)) (cbrt (+ 3 a)))) (cbrt (+ a 3)))))) 1)) * * * * [misc]progress: [ 27 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 3 a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ a 3)) * [misc]simplify: Simplified (2 1 2 2 2 2) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* (* b b) (sqrt (+ 3 a))) (sqrt (+ a 3)))))) 1)) * * * * [misc]progress: [ 28 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 3 a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ a 3) * [misc]simplify: Simplified (2 1 2 2 2 2) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* (* b b) 1) (+ a 3))))) 1)) * * * * [misc]progress: [ 29 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 3 3) (- (* a a) (* 3 a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (+ 9 (* (- a 3) a)) * [misc]simplify: Simplified (2 1 2 2 2 2) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (/ (* (* b b) (+ (pow 3 3) (pow a 3))) (+ 9 (* (- a 3) a)))))) 1)) * * * * [misc]progress: [ 31 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (- 3 a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- 3 a) * [misc]simplify: Simplified (2 1 2 2 2 2) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (/ (* (* b b) (- (* 3 3) (* a a))) (- 3 a))))) 1)) * * * * [misc]progress: [ 32 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* (* a a) (- 1 a))) (exp (* (* b b) (+ 3 a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (351 enodes) * [exit]simplify: Simplified to (exp (+ (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (log (exp (+ (* (+ a 3) (* b b)) (* (* a a) (- 1 a))))))) 1)) * * * * [misc]progress: [ 34 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (* a a) (- (pow 1 3) (pow a 3))) (+ (* 3 3) (- (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (* b b) (+ (pow 3 3) (pow a 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (292 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ a 1) (* a a)) b) (+ (* b 27) (* (* b a) (* a a)))) (* (+ 9 (* a (+ -3 a))) (* (- 1 (pow a 3)) (* a a)))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (/ (+ (* (* (+ (+ a 1) (* a a)) b) (+ (* b 27) (* (* b a) (* a a)))) (* (+ 9 (* a (+ -3 a))) (* (- 1 (pow a 3)) (* a a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 3 3) (- (* a a) (* 3 a))))))) 1)) * [enter]simplify: Simplifying (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 3 3) (- (* a a) (* 3 a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * [exit]simplify: Simplified to (* (+ 9 (* a (+ a -3))) (+ (* a a) (+ 1 a))) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (/ (+ (* (* (+ (+ a 1) (* a a)) b) (+ (* b 27) (* (* b a) (* a a)))) (* (+ 9 (* a (+ -3 a))) (* (- 1 (pow a 3)) (* a a)))) (* (+ 9 (* a (+ a -3))) (+ (* a a) (+ 1 a)))))) 1)) * * * * [misc]progress: [ 41 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (* a a) (- (pow 1 3) (pow a 3))) (- 3 a)) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (* b b) (- (* 3 3) (* a a))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * [exit]simplify: Simplified to (* (- 3 a) (+ (* (- 1 (pow a 3)) (* a a)) (* (+ (+ a 1) (* a a)) (* (+ 3 a) (* b b))))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (/ (* (- 3 a) (+ (* (- 1 (pow a 3)) (* a a)) (* (+ (+ a 1) (* a a)) (* (+ 3 a) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- 3 a))))) 1)) * [enter]simplify: Simplifying (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- 3 a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * [exit]simplify: Simplified to (* (- 3 a) (+ (* a a) (+ 1 a))) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (/ (* (- 3 a) (+ (* (- 1 (pow a 3)) (* a a)) (* (+ (+ a 1) (* a a)) (* (+ 3 a) (* b b))))) (* (- 3 a) (+ (* a a) (+ 1 a)))))) 1)) * * * * [misc]progress: [ 42 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (* a a) (- (* 1 1) (* a a))) (+ (* 3 3) (- (* a a) (* 3 a)))) (* (+ 1 a) (* (* b b) (+ (pow 3 3) (pow a 3))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (265 enodes) * [exit]simplify: Simplified to (+ (* (* (+ a 1) (* b b)) (+ 27 (pow a 3))) (* (* (* a a) (- 1 (* a a))) (+ 9 (* a (- a 3))))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (/ (+ (* (* (+ a 1) (* b b)) (+ 27 (pow a 3))) (* (* (* a a) (- 1 (* a a))) (+ 9 (* a (- a 3))))) (* (+ 1 a) (+ (* 3 3) (- (* a a) (* 3 a))))))) 1)) * [enter]simplify: Simplifying (* (+ 1 a) (+ (* 3 3) (- (* a a) (* 3 a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (* (+ (* a (+ a -3)) 9) (+ a 1)) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (/ (+ (* (* (+ a 1) (* b b)) (+ 27 (pow a 3))) (* (* (* a a) (- 1 (* a a))) (+ 9 (* a (- a 3))))) (* (+ (* a (+ a -3)) 9) (+ a 1))))) 1)) * * * * [misc]progress: [ 43 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (* a a) (- (* 1 1) (* a a))) (- 3 a)) (* (+ 1 a) (* (* b b) (- (* 3 3) (* a a))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * [exit]simplify: Simplified to (+ (* (- 9 (* a a)) (* (* b b) (+ a 1))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (/ (+ (* (- 9 (* a a)) (* (* b b) (+ a 1))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (+ 1 a) (- 3 a))))) 1)) * [enter]simplify: Simplifying (* (+ 1 a) (- 3 a)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (* (- 3 a) (+ a 1)) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (/ (+ (* (- 9 (* a a)) (* (* b b) (+ a 1))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- 3 a) (+ a 1))))) 1)) * * * * [misc]progress: [ 44 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* b b) a) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (* (* b a) b) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (+ (* (* a a) (- 1 a)) (* (* b b) 3)) (* (* b a) b)))) 1)) * * * * [misc]progress: [ 48 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* a (* b b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (* a (* b b)) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (+ (* (* a a) (- 1 a)) (* 3 (* b b))) (* a (* b b))))) 1)) * * * * [misc]progress: [ 49 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* a a) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (* a a) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* a a) (+ (* (* a a) (- a)) (* (* b b) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 50 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* a a) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (* a a) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* a a) (+ (* (* a a) (- a)) (* (* b b) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 51 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (* a a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (* a a) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* a a) (+ (* (- a) (* a a)) (* (* b b) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 52 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (* a a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (* a a) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* a a) (+ (* (- a) (* a a)) (* (* b b) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 53 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (+ (* a a) (* b b))) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (log (+ (* a a) (* b b))) 2) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (- (+ (exp (* (log (+ (* a a) (* b b))) 2)) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1)) * * * * [misc]progress: [ 55 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a a) (* b b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (+ (* a a) (* b b)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) (* 1 2)) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1)) * * * * [misc]progress: [ 57 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* a a) (* b b))) (+ (* a a) (* b b))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (- (+ (* (* (cbrt (+ (* a a) (* b b))) (+ (* a a) (* b b))) (pow (cbrt (+ (* a a) (* b b))) 2)) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1)) * * * * [misc]progress: [ 58 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (+ (* a a) (* b b))) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (+ (* a a) (* b b)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (- (+ (* (+ (* a a) (* b b)) (pow (sqrt (+ (* a a) (* b b))) 2)) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1)) * * * * [misc]progress: [ 59 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 2) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (- (+ (* 1 (pow (+ (* a a) (* b b)) 2)) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1)) * * * * [misc]progress: [ 60 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4 (pow a 2)) (* 12 (pow b 2))) (* 4 (pow a 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (- (* (* 12 b) b) (* (* a a) (- (* 4 a) 4))) * [misc]simplify: Simplified (2 1) to (λ (a b) (- (- (* (* 12 b) b) (* (* a a) (- (* 4 a) 4))) 1)) * * * * [misc]progress: [ 69 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (- (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b)))) 1)) * * * * [misc]progress: [ 70 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (- (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b)))) 1)) * * * * [misc]progress: [ 71 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 3 (pow b 2)) (* a (pow b 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (* (* b b) (+ a 3)) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ a 3))))) 1)) * * * * [misc]progress: [ 72 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 3 (pow b 2)) (* a (pow b 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (* (* b b) (+ a 3)) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ a 3))))) 1)) * * * * [misc]progress: [ 73 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 3 (pow b 2)) (* a (pow b 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (* (* b b) (+ a 3)) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ a 3))))) 1)) * * * * [misc]progress: [ 74 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow a 2) (* 3 (pow b 2))) (pow a 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (+ (* (- 1 a) (* a a)) (* 3 (* b b))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (- 1 a) (* a a)) (* 3 (* b b))))) 1)) * * * * [misc]progress: [ 75 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 3 (pow b 2)) (* a (pow b 2))) (pow a 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (+ (* (- a) (* a a)) (* (+ a 3) (* b b))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (- a) (* a a)) (* (+ a 3) (* b b))))) 1)) * * * * [misc]progress: [ 76 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 3 (pow b 2)) (* a (pow b 2))) (pow a 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (+ (* (- a) (* a a)) (* (+ a 3) (* b b))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (- a) (* a a)) (* (+ a 3) (* b b))))) 1)) * * * * [misc]progress: [ 77 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (+ (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1)) * * * * [misc]progress: [ 78 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (+ (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b)))) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1)) * * * * [misc]progress: [ 79 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (+ (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b)))) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 2 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 2 2 2) * [misc]approximate: Taking taylor expansion of (* (pow a 2) (pow b 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 1 (pow b 2)) into (pow b 2) * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow b 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* b a) 2)) into (* (pow a 2) (pow b 2)) * [misc]approximate: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a))) 2)) into (* (pow a 2) (pow b 2)) * [misc]approximate: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a)))) 2)) into (* (pow a 2) (pow b 2)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) in a * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) in a * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) in a * [misc]taylor: Taking taylor expansion of (* (* a a) (- 1 a)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) (+ 3 a)) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) in b * [misc]taylor: Taking taylor expansion of (* (* a a) (- 1 a)) in b * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- 1 a) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (* b b) (+ 3 a)) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 3 a) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) in b * [misc]taylor: Taking taylor expansion of (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) in b * [misc]taylor: Taking taylor expansion of (* (* a a) (- 1 a)) in b * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- 1 a) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (* b b) (+ 3 a)) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 3 a) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) * [misc]backup-simplify: Simplify (+ (pow a 4) 0) into (pow a 4) * [misc]backup-simplify: Simplify (+ 0 (pow a 4)) into (pow a 4) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 1 (- a)) into (- 1 a) * [misc]backup-simplify: Simplify (* (pow a 2) (- 1 a)) into (* (pow a 2) (- 1 a)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 3 a) into (+ a 3) * [misc]backup-simplify: Simplify (* 0 (+ a 3)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) (- 1 a)) 0) into (- (pow a 2) (pow a 3)) * [misc]backup-simplify: Simplify (* 4 (- (pow a 2) (pow a 3))) into (* 4 (- (pow a 2) (pow a 3))) * [misc]backup-simplify: Simplify (+ (pow a 4) (* 4 (- (pow a 2) (pow a 3)))) into (- (+ (* 4 (pow a 2)) (pow a 4)) (* 4 (pow a 3))) * [misc]taylor: Taking taylor expansion of (- (+ (* 4 (pow a 2)) (pow a 4)) (* 4 (pow a 3))) in a * [misc]taylor: Taking taylor expansion of (+ (* 4 (pow a 2)) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (* 4 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 4 (pow a 3)) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (* 0 (pow a 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (* 0 (- 1 a))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (+ a 3))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (- (pow a 2) (pow a 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (* 0 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow a 2) 1) into (pow a 2) * [misc]backup-simplify: Simplify (* 2 (pow a 2)) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (pow a 2))) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (pow a 2))) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (* 0 (- 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (+ a 3)))) into (+ a 3) * [misc]backup-simplify: Simplify (+ 0 (+ a 3)) into (+ a 3) * [misc]backup-simplify: Simplify (+ (* 4 (+ a 3)) (+ (* 0 0) (* 0 (- (pow a 2) (pow a 3))))) into (+ (* 4 a) 12) * [misc]backup-simplify: Simplify (+ (* 2 (pow a 2)) (+ (* 4 a) 12)) into (+ (* 2 (pow a 2)) (+ (* 4 a) 12)) * [misc]taylor: Taking taylor expansion of (+ (* 2 (pow a 2)) (+ (* 4 a) 12)) in a * [misc]taylor: Taking taylor expansion of (* 2 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 4 a) 12) in a * [misc]taylor: Taking taylor expansion of (* 4 a) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 12 in a * [misc]backup-simplify: Simplify 12 into 12 * [misc]backup-simplify: Simplify (* 4 0) into 0 * [misc]backup-simplify: Simplify (+ 0 12) into 12 * [misc]backup-simplify: Simplify (+ 0 12) into 12 * [misc]backup-simplify: Simplify 12 into 12 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (pow a 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (+ a 3))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 (+ a 3)) (+ (* 0 0) (* 0 (- (pow a 2) (pow a 3)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 4 1) (* 0 0)) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (+ 0 4) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ (* 4 (* a (pow b 2))) (+ (* 4 (pow (* a 1) 2)) (* 12 (pow (* 1 b) 2)))) into (+ (* 4 (pow a 2)) (+ (* 12 (pow b 2)) (* 4 (* a (pow b 2))))) * [misc]approximate: Taking taylor expansion of (+ (+ (pow (/ 1 b) 4) (+ (pow (/ 1 a) 4) (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))))) (* 4 (+ (* (* (/ 1 a) (/ 1 a)) (- 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a)))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 b) 4) (+ (pow (/ 1 a) 4) (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))))) (* 4 (+ (* (* (/ 1 a) (/ 1 a)) (- 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (pow (/ 1 a) 4) (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 a) 4) (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (* (/ 1 a) (/ 1 a)) (- 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 a) (/ 1 a)) (- 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 a)) (- 1 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 b) 4) (+ (pow (/ 1 a) 4) (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))))) (* 4 (+ (* (* (/ 1 a) (/ 1 a)) (- 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a)))))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (pow (/ 1 a) 4) (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 a) 4) (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (* (/ 1 a) (/ 1 a)) (- 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 a) (/ 1 a)) (- 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 a)) (- 1 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 3 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 b) 4) (+ (pow (/ 1 a) 4) (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))))) (* 4 (+ (* (* (/ 1 a) (/ 1 a)) (- 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a)))))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 b) 4) (+ (pow (/ 1 a) 4) (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 a) 4) (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (* (/ 1 a) (/ 1 a)) (- 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 a) (/ 1 a)) (- 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 a)) (- 1 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 3 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) 1) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow a 2))) into (/ 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 2 (pow a 2))) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (pow a 2)))) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 3 (/ 1 a)) into (+ (/ 1 a) 3) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 a) 3)) into (+ (/ 1 a) 3) * [misc]backup-simplify: Simplify (+ 0 (+ (/ 1 a) 3)) into (+ (/ 1 a) 3) * [misc]backup-simplify: Simplify (* 4 (+ (/ 1 a) 3)) into (* 4 (+ (/ 1 a) 3)) * [misc]backup-simplify: Simplify (+ (* 2 (/ 1 (pow a 2))) (* 4 (+ (/ 1 a) 3))) into (+ (* 4 (/ 1 a)) (+ (* 2 (/ 1 (pow a 2))) 12)) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 a)) (+ (* 2 (/ 1 (pow a 2))) 12)) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (pow a 2))) 12) in a * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 12 in a * [misc]backup-simplify: Simplify 12 into 12 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (+ (/ 1 a) 3))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (+ (/ 1 a) 3))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) (/ 1 (pow a 2))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow a 4)) 0) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (- (/ 1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 a))) into (- 1 (/ 1 a)) * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) (- 1 (/ 1 a))) into (/ (- 1 (/ 1 a)) (pow a 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (+ (/ 1 a) 3)))) into 0 * [misc]backup-simplify: Simplify (+ (/ (- 1 (/ 1 a)) (pow a 2)) 0) into (- (/ 1 (pow a 2)) (/ 1 (pow a 3))) * [misc]backup-simplify: Simplify (+ (* 4 (- (/ 1 (pow a 2)) (/ 1 (pow a 3)))) (+ (* 0 0) (* 0 (+ (/ 1 a) 3)))) into (- (* 4 (/ 1 (pow a 2))) (* 4 (/ 1 (pow a 3)))) * [misc]backup-simplify: Simplify (+ (/ 1 (pow a 4)) (- (* 4 (/ 1 (pow a 2))) (* 4 (/ 1 (pow a 3))))) into (- (+ (* 4 (/ 1 (pow a 2))) (/ 1 (pow a 4))) (* 4 (/ 1 (pow a 3)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 4 (/ 1 (pow a 2))) (/ 1 (pow a 4))) (* 4 (/ 1 (pow a 3)))) in a * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (pow a 2))) (/ 1 (pow a 4))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow a 3))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 3)) in a * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 b))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2)) (* 1 (pow (* (/ 1 (/ 1 a)) 1) 4)))) into (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) * [misc]approximate: Taking taylor expansion of (+ (+ (pow (/ 1 (- b)) 4) (+ (pow (/ 1 (- a)) 4) (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))))) (* 4 (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (- 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a))))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 (- b)) 4) (+ (pow (/ 1 (- a)) 4) (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))))) (* 4 (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (- 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (pow (/ 1 (- a)) 4) (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- a)) 4) (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (- 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (- 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- a))) (- 1 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 (- b)) 4) (+ (pow (/ 1 (- a)) 4) (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))))) (* 4 (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (- 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a))))))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (pow (/ 1 (- a)) 4) (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- a)) 4) (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (- 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (- 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- a))) (- 1 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 3 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 (- b)) 4) (+ (pow (/ 1 (- a)) 4) (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))))) (* 4 (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (- 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a))))))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- b)) 4) (+ (pow (/ 1 (- a)) 4) (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- a)) 4) (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 4 (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (- 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (- 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- a))) (- 1 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 3 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) 1) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow a 2))) into (/ 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 2 (pow a 2))) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (pow a 2)))) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 3 (/ -1 a)) into (- 3 (/ 1 a)) * [misc]backup-simplify: Simplify (* 1 (- 3 (/ 1 a))) into (- 3 (/ 1 a)) * [misc]backup-simplify: Simplify (+ 0 (- 3 (/ 1 a))) into (- 3 (/ 1 a)) * [misc]backup-simplify: Simplify (* 4 (- 3 (/ 1 a))) into (* 4 (- 3 (/ 1 a))) * [misc]backup-simplify: Simplify (+ (* 2 (/ 1 (pow a 2))) (* 4 (- 3 (/ 1 a)))) into (- (+ (* 2 (/ 1 (pow a 2))) 12) (* 4 (/ 1 a))) * [misc]taylor: Taking taylor expansion of (- (+ (* 2 (/ 1 (pow a 2))) 12) (* 4 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (pow a 2))) 12) in a * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 12 in a * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (- 3 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (- 3 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) (/ 1 (pow a 2))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow a 4)) 0) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 4))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (- (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 (/ 1 a)) into (+ (/ 1 a) 1) * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) (+ (/ 1 a) 1)) into (/ (+ (/ 1 a) 1) (pow a 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 3 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (/ (+ (/ 1 a) 1) (pow a 2)) 0) into (+ (/ 1 (pow a 2)) (/ 1 (pow a 3))) * [misc]backup-simplify: Simplify (+ (* 4 (+ (/ 1 (pow a 2)) (/ 1 (pow a 3)))) (+ (* 0 0) (* 0 (- 3 (/ 1 a))))) into (+ (* 4 (/ 1 (pow a 2))) (* 4 (/ 1 (pow a 3)))) * [misc]backup-simplify: Simplify (+ (/ 1 (pow a 4)) (+ (* 4 (/ 1 (pow a 2))) (* 4 (/ 1 (pow a 3))))) into (+ (* 4 (/ 1 (pow a 2))) (+ (* 4 (/ 1 (pow a 3))) (/ 1 (pow a 4)))) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (pow a 2))) (+ (* 4 (/ 1 (pow a 3))) (/ 1 (pow a 4)))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (pow a 3))) (/ 1 (pow a 4))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow a 3))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 3)) in a * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- b)))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- a))) 1) 4)))) into (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 2 2) * [misc]approximate: Taking taylor expansion of (* (* b b) (+ 3 a)) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* b b) (+ 3 a)) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) (+ 3 a)) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 3 a) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (* b b) (+ 3 a)) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 3 a) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 3 a) into (+ a 3) * [misc]backup-simplify: Simplify (* 0 (+ a 3)) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (+ a 3))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (+ a 3)))) into (+ a 3) * [misc]taylor: Taking taylor expansion of (+ a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (+ a 3))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (+ a 3)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* a (pow b 2))) (* 3 (pow (* 1 b) 2))) into (+ (* 3 (pow b 2)) (* a (pow b 2))) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 3 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 3 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 3 (/ 1 a)) into (+ (/ 1 a) 3) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 a) 3)) into (+ (/ 1 a) 3) * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (+ (/ 1 a) 3))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (+ (/ 1 a) 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 a) 3))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 a) 3)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 (pow (* 1 (/ 1 (/ 1 b))) 2)) (* 1 (* (/ 1 (/ 1 a)) (pow (/ 1 b) -2)))) into (+ (* 3 (pow b 2)) (* a (pow b 2))) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 3 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 3 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 3 (/ -1 a)) into (- 3 (/ 1 a)) * [misc]backup-simplify: Simplify (* 1 (- 3 (/ 1 a))) into (- 3 (/ 1 a)) * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (- 3 (/ 1 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 3 (/ 1 a))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 3 (/ 1 a)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 3 (/ 1 a))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 (pow (* 1 (/ 1 (/ 1 (- b)))) 2)) (* -1 (* (/ 1 (/ 1 (- a))) (pow (/ 1 (- b)) -2)))) into (+ (* 3 (pow b 2)) (* a (pow b 2))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 2) * [misc]approximate: Taking taylor expansion of (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) in b * [misc]taylor: Taking taylor expansion of (* (* a a) (- 1 a)) in b * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- 1 a) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (* b b) (+ 3 a)) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 3 a) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) in a * [misc]taylor: Taking taylor expansion of (* (* a a) (- 1 a)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) (+ 3 a)) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) in a * [misc]taylor: Taking taylor expansion of (* (* a a) (- 1 a)) in a * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* b b) (+ 3 a)) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]backup-simplify: Simplify (* (pow b 2) 3) into (* 3 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (* 3 (pow b 2))) into (* 3 (pow b 2)) * [misc]taylor: Taking taylor expansion of (* 3 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 -1) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 1) (* 0 3)) into (pow b 2) * [misc]backup-simplify: Simplify (+ 0 (pow b 2)) into (pow b 2) * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 -1) (* 1 1))) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 1) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 -1) (* 0 1)))) into -1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (pow (* 1 a) 3)) (+ (* 3 (pow (* b 1) 2)) (* 1 (pow (* 1 a) 2)))) into (- (+ (pow a 2) (* 3 (pow b 2))) (pow a 3)) * [misc]approximate: Taking taylor expansion of (+ (* (* (/ 1 a) (/ 1 a)) (- 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 a) (/ 1 a)) (- 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 a)) (- 1 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 3 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 a) (/ 1 a)) (- 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 a)) (- 1 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 a) (/ 1 a)) (- 1 (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 a)) (- 1 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 b) (/ 1 b)) (+ 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 -1)) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) 1) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 3) (* 0 1)) into (* 3 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (* 3 (/ 1 (pow b 2)))) into (* 3 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ (* 3 (pow (* (/ 1 (/ 1 b)) 1) 2)) (+ (* -1 (pow (* 1 (/ 1 (/ 1 a))) 3)) (* 1 (* (pow (/ 1 b) -2) (/ 1 (/ 1 a)))))) into (- (+ (* 3 (pow b 2)) (* a (pow b 2))) (pow a 3)) * [misc]approximate: Taking taylor expansion of (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (- 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (- 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- a))) (- 1 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 3 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (- 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- a))) (- 1 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (* (/ 1 (- a)) (/ 1 (- a))) (- 1 (/ 1 (- a)))) (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- a))) (- 1 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- b)) (/ 1 (- b))) (+ 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 1)) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) -1) into (/ -1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ -1 (pow b 2))) into (- (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 3) (* 0 -1)) into (* 3 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 (* 3 (/ 1 (pow b 2)))) into (* 3 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ (* 3 (pow (* (/ 1 (/ 1 (- b))) 1) 2)) (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a)))) 3)) (* -1 (* (pow (/ 1 (- b)) -2) (/ 1 (/ 1 (- a))))))) into (- (+ (* 3 (pow b 2)) (* a (pow b 2))) (pow a 3)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* a b) * [misc]simplify: Simplified (2 1 1 2 2 2 1) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (pow (* a b) 2)))) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1)) * * * * [misc]progress: [ 2 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (log a) 2) (* (log b) 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (* 2 (+ (log a) (log b))) * [misc]simplify: Simplified (2 1 1 2 2 2 1) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (exp (* 2 (+ (log a) (log b))))))) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1)) * * * * [misc]progress: [ 4 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (log a) 2) (log (pow b 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (* 2 (+ (log a) (log b))) * [misc]simplify: Simplified (2 1 1 2 2 2 1) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (exp (* 2 (+ (log a) (log b))))))) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1)) * * * * [misc]progress: [ 5 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (pow a 2)) (* (log b) 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (* 2 (+ (log b) (log a))) * [misc]simplify: Simplified (2 1 1 2 2 2 1) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (exp (* 2 (+ (log b) (log a))))))) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1)) * * * * [misc]progress: [ 6 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (pow a 2)) (log (pow b 2))) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (+ (log b) (log a)) 2) * [misc]simplify: Simplified (2 1 1 2 2 2 1) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (exp (* (+ (log b) (log a)) 2))))) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1)) * * * * [misc]progress: [ 7 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (pow a 2) (pow a 2)) (pow a 2)) (* (* (pow b 2) (pow b 2)) (pow b 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * [exit]simplify: Simplified to (* (pow (* a a) 3) (pow (* b b) 3)) * [misc]simplify: Simplified (2 1 1 2 2 2 1) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (cbrt (* (pow (* a a) 3) (pow (* b b) 3)))))) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1)) * * * * [misc]progress: [ 10 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow b 2)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (cbrt (* b b)) * [misc]simplify: Simplified (2 1 1 2 2 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (* (pow a 2) (* (cbrt (pow b 2)) (cbrt (pow b 2)))) (cbrt (* b b)))))) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1)) * * * * [misc]progress: [ 16 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow b 2)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (fabs b) * [misc]simplify: Simplified (2 1 1 2 2 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (* (pow a 2) (sqrt (pow b 2))) (fabs b))))) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1)) * * * * [misc]progress: [ 17 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (pow b 2) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (* b b) * [misc]simplify: Simplified (2 1 1 2 2 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (* (pow a 2) 1) (* b b))))) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1)) * * * * [misc]progress: [ 18 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow a 2)) (cbrt (pow a 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (* a a)) (cbrt (* a a))) * [misc]simplify: Simplified (2 1 1 2 2 2 1) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (* (cbrt (* a a)) (cbrt (* a a))) (* (cbrt (pow a 2)) (pow b 2)))))) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1)) * * * * [misc]progress: [ 20 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow a 2)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (fabs a) * [misc]simplify: Simplified (2 1 1 2 2 2 1) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (fabs a) (* (sqrt (pow a 2)) (pow b 2)))))) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1)) * * * * [misc]progress: [ 21 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (exp (pow b 4)) (* (exp (pow a 4)) (exp (* 2 (* (pow a 2) (pow b 2)))))) (exp (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (* (* (exp (+ (pow a 4) (pow b 4))) (pow (exp 2) (* (* a b) (* a b)))) (pow (exp 4) (+ (* (* a a) (- 1 a)) (* (+ 3 a) (* b b))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (log (* (* (exp (+ (pow a 4) (pow b 4))) (pow (exp 2) (* (* a b) (* a b)))) (pow (exp 4) (+ (* (* a a) (- 1 a)) (* (+ 3 a) (* b b)))))) 1)) * * * * [misc]progress: [ 24 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (exp (pow b 4)) (exp (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (exp (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * [exit]simplify: Simplified to (* (* (pow (exp 2) (* (* a b) (* a b))) (exp (+ (pow a 4) (pow b 4)))) (pow (exp 4) (+ (* (* a a) (- 1 a)) (* (+ 3 a) (* b b))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (log (* (* (pow (exp 2) (* (* a b) (* a b))) (exp (+ (pow a 4) (pow b 4)))) (pow (exp 4) (+ (* (* a a) (- 1 a)) (* (+ 3 a) (* b b)))))) 1)) * * * * [misc]progress: [ 25 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (exp (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (* (* (exp (+ (pow b 4) (pow a 4))) (pow (exp 2) (* (* a b) (* a b)))) (pow (exp 4) (+ (* (+ 3 a) (* b b)) (* (- 1 a) (* a a))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (log (* (* (exp (+ (pow b 4) (pow a 4))) (pow (exp 2) (* (* a b) (* a b)))) (pow (exp 4) (+ (* (+ 3 a) (* b b)) (* (- 1 a) (* a a)))))) 1)) * * * * [misc]progress: [ 26 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) 3)) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 3 3) (- (* a a) (* 3 a))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) (* 4 (+ (* (* (* a a) (- (pow 1 3) (pow a 3))) (+ (* 3 3) (- (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (* b b) (+ (pow 3 3) (pow a 3)))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (146 enodes) * [exit]simplify: Simplified to (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (* (+ (+ 1 a) (* a a)) (+ 9 (* (+ a -3) a)))) (* (* 4 (+ (* (* (- 1 (pow a 3)) (* a a)) (+ 9 (* (+ a -3) a))) (* (+ (pow a 3) 27) (* (+ (+ 1 a) (* a a)) (* b b))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (* (+ (+ 1 a) (* a a)) (+ 9 (* (+ a -3) a)))) (* (* 4 (+ (* (* (- 1 (pow a 3)) (* a a)) (+ 9 (* (+ a -3) a))) (* (+ (pow a 3) 27) (* (+ (+ 1 a) (* a a)) (* b b))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 3 3) (- (* a a) (* 3 a)))))) 1)) * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 3 3) (- (* a a) (* 3 a))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (336 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (+ (* (* a (* 2 a)) (* b b)) (pow a 4))) (* (pow b 4) (pow b 4))) (* (+ (+ a 1) (* a a)) (+ 9 (* a (+ a -3))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (/ (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* b b)) (* a a))) 3)) (* (+ (+ 1 a) (* a a)) (+ 9 (* (+ a -3) a)))) (* (* 4 (+ (* (* (- 1 (pow a 3)) (* a a)) (+ 9 (* (+ a -3) a))) (* (+ (pow a 3) 27) (* (+ (+ 1 a) (* a a)) (* b b))))) (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* 2 (* b b)) (* a a))) (+ (* (* 2 (* b b)) (* a a)) (- (pow a 4) (pow b 4))))))) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b))) (+ (* (* a (* 2 a)) (* b b)) (pow a 4))) (* (pow b 4) (pow b 4))) (* (+ (+ a 1) (* a a)) (+ 9 (* a (+ a -3)))))) 1)) * * * * [misc]progress: [ 33 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) 3)) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- 3 a))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) (* 4 (+ (* (* (* a a) (- (pow 1 3) (pow a 3))) (- 3 a)) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (* b b) (- (* 3 3) (* a a)))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * * [misc]simplify: iters left: 4 (475 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (* (* a a) 4) (* (- 3 a) (- 1 (pow a 3)))) (* (* (- 9 (* a a)) (+ (* a a) (+ 1 a))) (* (* b b) 4)))) (+ (* (pow (pow b 4) 3) (* (+ (* a a) (+ 1 a)) (- 3 a))) (* (* (* (+ (* a a) (+ 1 a)) (- 3 a)) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (+ (* (* (* a a) 4) (* (- 3 a) (- 1 (pow a 3)))) (* (* (- 9 (* a a)) (+ (* a a) (+ 1 a))) (* (* b b) 4)))) (+ (* (pow (pow b 4) 3) (* (+ (* a a) (+ 1 a)) (- 3 a))) (* (* (* (+ (* a a) (+ 1 a)) (- 3 a)) (+ (pow a 4) (* (* (* 2 a) a) (* b b)))) (* (+ (pow a 4) (* (* (* 2 a) a) (* b b))) (+ (pow a 4) (* (* (* 2 a) a) (* b b))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- 3 a)))) 1)) * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- 3 a))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (* a a) (* 2 b)) b) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (pow b 4))) (* (- 3 a) (+ (+ a 1) (* a a)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (/ (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) 3)) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- 3 a))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) (* 4 (+ (* (* (* a a) (- (pow 1 3) (pow a 3))) (- 3 a)) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (* b b) (- (* 3 3) (* a a)))))))) (* (+ (* (+ (* (* (* a a) (* 2 b)) b) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* (* (* a a) (* 2 b)) b))) (* (pow b 4) (pow b 4))) (* (- 3 a) (+ (+ a 1) (* a a))))) 1)) * * * * [misc]progress: [ 34 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) 3)) (* (+ 1 a) (+ (* 3 3) (- (* a a) (* 3 a))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) (* 4 (+ (* (* (* a a) (- (* 1 1) (* a a))) (+ (* 3 3) (- (* a a) (* 3 a)))) (* (+ 1 a) (* (* b b) (+ (pow 3 3) (pow a 3)))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (+ (* (* 2 (* a a)) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (* (* (- 1 (* a a)) (* a a)) (+ 9 (* (- a 3) a))) (* (* (+ 1 a) (* b b)) (+ (pow a 3) 27))) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* a a)) (* b b))) 3)) (* (+ 1 a) (+ 9 (* (- a 3) a))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (+ (* (* 2 (* a a)) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (* (* (- 1 (* a a)) (* a a)) (+ 9 (* (- a 3) a))) (* (* (+ 1 a) (* b b)) (+ (pow a 3) 27))) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* a a)) (* b b))) 3)) (* (+ 1 a) (+ 9 (* (- a 3) a))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) (* (+ 1 a) (+ (* 3 3) (- (* a a) (* 3 a)))))) 1)) * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) (* (+ 1 a) (+ (* 3 3) (- (* a a) (* 3 a))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (292 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* b b) (* a (* 2 a))) (pow a 4)) (+ (* (* b b) (* a (* 2 a))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ a 1) (+ 9 (* (- a 3) a)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (/ (+ (* (+ (* (+ (pow a 4) (* (* 2 (* a a)) (* b b))) (+ (* (* 2 (* a a)) (* b b)) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ (* (* (- 1 (* a a)) (* a a)) (+ 9 (* (- a 3) a))) (* (* (+ 1 a) (* b b)) (+ (pow a 3) 27))) 4)) (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* a a)) (* b b))) 3)) (* (+ 1 a) (+ 9 (* (- a 3) a))))) (* (+ (* (+ (* (* b b) (* a (* 2 a))) (pow a 4)) (+ (* (* b b) (* a (* 2 a))) (- (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (+ a 1) (+ 9 (* (- a 3) a))))) 1)) * * * * [misc]progress: [ 35 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) 3)) (* (+ 1 a) (- 3 a))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) (* 4 (+ (* (* (* a a) (- (* 1 1) (* a a))) (- 3 a)) (* (+ 1 a) (* (* b b) (- (* 3 3) (* a a)))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (431 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* b b) 2) (* a a))) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* (+ (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ 1 a)))) 4)) (+ (* (pow (pow b 4) 3) (* (+ 1 a) (- 3 a))) (* (* (* (+ 1 a) (- 3 a)) (+ (pow a 4) (* (* (* b b) 2) (* a a)))) (* (+ (pow a 4) (* (* (* b b) 2) (* a a))) (+ (pow a 4) (* (* (* b b) 2) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* (* (* b b) 2) (* a a))) (+ (- (pow a 4) (pow b 4)) (* (* (* b b) 2) (* a a))))) (* (+ (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ 1 a)))) 4)) (+ (* (pow (pow b 4) 3) (* (+ 1 a) (- 3 a))) (* (* (* (+ 1 a) (- 3 a)) (+ (pow a 4) (* (* (* b b) 2) (* a a)))) (* (+ (pow a 4) (* (* (* b b) 2) (* a a))) (+ (pow a 4) (* (* (* b b) 2) (* a a))))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) (* (+ 1 a) (- 3 a)))) 1)) * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) (* (+ 1 a) (- 3 a))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a a) (* b (* b 2)))) (+ (* (* a a) (* b (* b 2))) (pow a 4))) (* (pow b 4) (pow b 4))) (* (+ a 1) (- 3 a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (/ (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) 3)) (* (+ 1 a) (- 3 a))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) (* 4 (+ (* (* (* a a) (- (* 1 1) (* a a))) (- 3 a)) (* (+ 1 a) (* (* b b) (- (* 3 3) (* a a)))))))) (* (+ (* (+ (- (pow a 4) (pow b 4)) (* (* a a) (* b (* b 2)))) (+ (* (* a a) (* b (* b 2))) (pow a 4))) (* (pow b 4) (pow b 4))) (* (+ a 1) (- 3 a)))) 1)) * * * * [misc]progress: [ 36 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) 3)) (+ (* (* (* a a) (- 1 a)) (* (* a a) (- 1 a))) (- (* (* (* b b) (+ 3 a)) (* (* b b) (+ 3 a))) (* (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) (* 4 (+ (pow (* (* a a) (- 1 a)) 3) (pow (* (* b b) (+ 3 a)) 3))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (135 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 3 a) (* b b)) (- (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* (* (* a a) (- 1 a)) (* (* a a) (- 1 a)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* a a)) (* b b))) 3))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* a a)) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (+ (* (* (* (+ 3 a) (* b b)) (* (+ 3 a) (* b b))) (* (* (+ 3 a) (* b b)) 4)) (* (* (* (* a a) (- 1 a)) (* (* a a) (- 1 a))) (* (* (* a a) (- 1 a)) 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 3 a) (* b b)) (- (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) (* (* (* a a) (- 1 a)) (* (* a a) (- 1 a)))) (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* (* 2 (* a a)) (* b b))) 3))) (* (+ (* (pow b 4) (pow b 4)) (* (+ (* (* 2 (* a a)) (* b b)) (- (pow a 4) (pow b 4))) (+ (pow a 4) (* (* 2 (* a a)) (* b b))))) (+ (* (* (* (+ 3 a) (* b b)) (* (+ 3 a) (* b b))) (* (* (+ 3 a) (* b b)) 4)) (* (* (* (* a a) (- 1 a)) (* (* a a) (- 1 a))) (* (* (* a a) (- 1 a)) 4))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) (+ (* (* (* a a) (- 1 a)) (* (* a a) (- 1 a))) (- (* (* (* b b) (+ 3 a)) (* (* b b) (+ 3 a))) (* (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))))) 1)) * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) (+ (* (* (* a a) (- 1 a)) (* (* a a) (- 1 a))) (- (* (* (* b b) (+ 3 a)) (* (* b b) (+ 3 a))) (* (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (446 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* a a) (- 1 a)) (* (* a a) (- 1 a))) (* (- (* (* b b) (+ a 3)) (* (* a a) (- 1 a))) (* (* b b) (+ a 3)))) (+ (* (+ (- (pow a 4) (pow b 4)) (* (* (* a b) (* a b)) 2)) (+ (* (* (* a b) (* a b)) 2) (pow a 4))) (* (pow b 4) (pow b 4)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (/ (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) 3)) (+ (* (* (* a a) (- 1 a)) (* (* a a) (- 1 a))) (- (* (* (* b b) (+ 3 a)) (* (* b b) (+ 3 a))) (* (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) (* 4 (+ (pow (* (* a a) (- 1 a)) 3) (pow (* (* b b) (+ 3 a)) 3))))) (* (+ (* (* (* a a) (- 1 a)) (* (* a a) (- 1 a))) (* (- (* (* b b) (+ a 3)) (* (* a a) (- 1 a))) (* (* b b) (+ a 3)))) (+ (* (+ (- (pow a 4) (pow b 4)) (* (* (* a b) (* a b)) 2)) (+ (* (* (* a b) (* a b)) 2) (pow a 4))) (* (pow b 4) (pow b 4))))) 1)) * * * * [misc]progress: [ 37 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) 3)) (- (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) (* 4 (- (* (* (* a a) (- 1 a)) (* (* a a) (- 1 a))) (* (* (* b b) (+ 3 a)) (* (* b b) (+ 3 a))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (422 enodes) * [exit]simplify: Simplified to (+ (+ (* (* (+ (pow a 4) (* 2 (* (* a b) (* a b)))) (+ (pow a 4) (* 2 (* (* a b) (* a b))))) (* (+ (pow a 4) (* 2 (* (* a b) (* a b)))) (- (* (* a a) (- 1 a)) (* (+ 3 a) (* b b))))) (* (pow (pow b 4) 3) (- (* (* a a) (- 1 a)) (* (+ 3 a) (* b b))))) (* (+ (* (+ (pow a 4) (* 2 (* (* a b) (* a b)))) (+ (- (pow a 4) (pow b 4)) (* 2 (* (* a b) (* a b))))) (* (pow b 4) (pow b 4))) (* (* (- (* (* a a) (- 1 a)) (* (+ 3 a) (* b b))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) 4))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (+ (* (* (+ (pow a 4) (* 2 (* (* a b) (* a b)))) (+ (pow a 4) (* 2 (* (* a b) (* a b))))) (* (+ (pow a 4) (* 2 (* (* a b) (* a b)))) (- (* (* a a) (- 1 a)) (* (+ 3 a) (* b b))))) (* (pow (pow b 4) 3) (- (* (* a a) (- 1 a)) (* (+ 3 a) (* b b))))) (* (+ (* (+ (pow a 4) (* 2 (* (* a b) (* a b)))) (+ (- (pow a 4) (pow b 4)) (* 2 (* (* a b) (* a b))))) (* (pow b 4) (pow b 4))) (* (* (- (* (* a a) (- 1 a)) (* (+ 3 a) (* b b))) (+ (* (+ 3 a) (* b b)) (* (* a a) (- 1 a)))) 4))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) (- (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1)) * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) (- (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (* a b) (* a b)) 2) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* (* (* a b) (* a b)) 2))) (* (pow b 4) (pow b 4))) (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (/ (+ (* (+ (pow (pow b 4) 3) (pow (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) 3)) (- (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))) (* (+ (* (pow b 4) (pow b 4)) (- (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) (* 4 (- (* (* (* a a) (- 1 a)) (* (* a a) (- 1 a))) (* (* (* b b) (+ 3 a)) (* (* b b) (+ 3 a))))))) (* (+ (* (+ (* (* (* a b) (* a b)) 2) (pow a 4)) (+ (- (pow a 4) (pow b 4)) (* (* (* a b) (* a b)) 2))) (* (pow b 4) (pow b 4))) (- (* (* a a) (- 1 a)) (* (* b b) (+ a 3))))) 1)) * * * * [misc]progress: [ 38 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 3 3) (- (* a a) (* 3 a))))) (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (+ (* (* (* a a) (- (pow 1 3) (pow a 3))) (+ (* 3 3) (- (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (* b b) (+ (pow 3 3) (pow a 3)))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 9 (* a (- a 3))) (+ (* a a) (+ a 1))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))) (+ (* (* (+ (pow a 3) 27) (* b b)) (+ (* a a) (+ a 1))) (* (* (- 1 (pow a 3)) (* a a)) (+ 9 (* a (- a 3))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 9 (* a (- a 3))) (+ (* a a) (+ a 1))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))) (+ (* (* (+ (pow a 3) 27) (* b b)) (+ (* a a) (+ a 1))) (* (* (- 1 (pow a 3)) (* a a)) (+ 9 (* a (- a 3))))))) (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 3 3) (- (* a a) (* 3 a)))))) 1)) * [enter]simplify: Simplifying (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 3 3) (- (* a a) (* 3 a))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (* (* (+ (+ a 1) (* a a)) (+ (* (- a 3) a) 9)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (/ (+ (* (* (* (+ 9 (* a (- a 3))) (+ (* a a) (+ a 1))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))) (* (* 4 (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* a a) 2)))) (+ (* (* (+ (pow a 3) 27) (* b b)) (+ (* a a) (+ a 1))) (* (* (- 1 (pow a 3)) (* a a)) (+ 9 (* a (- a 3))))))) (* (* (+ (+ a 1) (* a a)) (+ (* (- a 3) a) 9)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)))) 1)) * * * * [misc]progress: [ 39 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- 3 a))) (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (+ (* (* (* a a) (- (pow 1 3) (pow a 3))) (- 3 a)) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (* b b) (- (* 3 3) (* a a)))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (418 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* b (* b 2)))) (* (- 3 a) (+ (+ a 1) (* a a)))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2))))) (* (* (- 3 a) (+ (* (* a a) (- 1 (pow a 3))) (* (+ (+ a 1) (* a a)) (* (+ 3 a) (* b b))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* b (* b 2)))) (* (- 3 a) (+ (+ a 1) (* a a)))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2))))) (* (* (- 3 a) (+ (* (* a a) (- 1 (pow a 3))) (* (+ (+ a 1) (* a a)) (* (+ 3 a) (* b b))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2))))))) (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- 3 a)))) 1)) * [enter]simplify: Simplifying (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- 3 a))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * [exit]simplify: Simplified to (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (* (+ (+ a 1) (* a a)) (- 3 a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (/ (+ (* (* (+ (+ (pow a 4) (pow b 4)) (* (* a a) (* b (* b 2)))) (* (- 3 a) (+ (+ a 1) (* a a)))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2))))) (* (* (- 3 a) (+ (* (* a a) (- 1 (pow a 3))) (* (+ (+ a 1) (* a a)) (* (+ 3 a) (* b b))))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2))))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) -2)) (* (+ (+ a 1) (* a a)) (- 3 a)))) 1)) * * * * [misc]progress: [ 40 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (* (+ 1 a) (+ (* 3 3) (- (* a a) (* 3 a))))) (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (+ (* (* (* a a) (- (* 1 1) (* a a))) (+ (* 3 3) (- (* a a) (* 3 a)))) (* (+ 1 a) (* (* b b) (+ (pow 3 3) (pow a 3)))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * [exit]simplify: Simplified to (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (+ 9 (* a (- a 3)))))) (* (+ (* (* (- 1 (* a a)) (* a a)) (+ 9 (* a (- a 3)))) (* (* (+ a 1) (* b b)) (+ 27 (pow a 3)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (+ 9 (* a (- a 3)))))) (* (+ (* (* (- 1 (* a a)) (* a a)) (+ 9 (* a (- a 3)))) (* (* (+ a 1) (* b b)) (+ 27 (pow a 3)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))))) (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (+ (* 3 3) (- (* a a) (* 3 a)))))) 1)) * [enter]simplify: Simplifying (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (+ (* 3 3) (- (* a a) (* 3 a))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * [exit]simplify: Simplified to (* (+ (* -2 (* (* b b) (* a a))) (- (pow b 4) (pow a 4))) (* (+ a 1) (+ 9 (* a (- a 3))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (/ (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (+ 9 (* a (- a 3)))))) (* (+ (* (* (- 1 (* a a)) (* a a)) (+ 9 (* a (- a 3)))) (* (* (+ a 1) (* b b)) (+ 27 (pow a 3)))) (* 4 (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))))) (* (+ (* -2 (* (* b b) (* a a))) (- (pow b 4) (pow a 4))) (* (+ a 1) (+ 9 (* a (- a 3)))))) 1)) * * * * [misc]progress: [ 41 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (* (+ 1 a) (- 3 a))) (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (+ (* (* (* a a) (- (* 1 1) (* a a))) (- 3 a)) (* (+ 1 a) (* (* b b) (- (* 3 3) (* a a)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (370 enodes) * [exit]simplify: Simplified to (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))) (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a)))) 1)) * [enter]simplify: Simplifying (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (373 enodes) * [exit]simplify: Simplified to (* (+ (- (pow b 4) (pow a 4)) (* (* (* a b) (* a b)) -2)) (+ (* (- 3 a) a) (- 3 a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (/ (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a b) (* a b)) -2)) (+ (* (- 3 a) a) (- 3 a)))) 1)) * * * * [misc]progress: [ 42 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (+ (* (* (* a a) (- 1 a)) (* (* a a) (- 1 a))) (- (* (* (* b b) (+ 3 a)) (* (* b b) (+ 3 a))) (* (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))) (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (+ (pow (* (* a a) (- 1 a)) 3) (pow (* (* b b) (+ 3 a)) 3))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * [exit]simplify: Simplified to (+ (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (* (* (* (+ 3 a) (* b b)) (* (+ 3 a) (* b b))) (* (* (+ 3 a) (* b b)) 4)) (* (* 4 (* (* a a) (- 1 a))) (* (* (* a a) (- 1 a)) (* (* a a) (- 1 a)))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (* (* (* a a) (- 1 a)) (* (* a a) (- 1 a))) (* (* (+ 3 a) (* b b)) (- (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (+ (* (* (* (+ 3 a) (* b b)) (* (+ 3 a) (* b b))) (* (* (+ 3 a) (* b b)) 4)) (* (* 4 (* (* a a) (- 1 a))) (* (* (* a a) (- 1 a)) (* (* a a) (- 1 a)))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* (* 2 a) a)))) (+ (* (* (* a a) (- 1 a)) (* (* a a) (- 1 a))) (* (* (+ 3 a) (* b b)) (- (* (+ 3 a) (* b b)) (* (* a a) (- 1 a))))))) (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (+ (* (* (* a a) (- 1 a)) (* (* a a) (- 1 a))) (- (* (* (* b b) (+ 3 a)) (* (* b b) (+ 3 a))) (* (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))))) 1)) * [enter]simplify: Simplifying (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (+ (* (* (* a a) (- 1 a)) (* (* a a) (- 1 a))) (- (* (* (* b b) (+ 3 a)) (* (* b b) (+ 3 a))) (* (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (347 enodes) * [exit]simplify: Simplified to (* (+ (* -2 (* (* a b) (* a b))) (- (pow b 4) (pow a 4))) (+ (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (- (* (+ 3 a) (* b b)) (* (- 1 a) (* a a))) (* (+ 3 a) (* b b))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (/ (+ (* (- (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (+ (* (* (* a a) (- 1 a)) (* (* a a) (- 1 a))) (- (* (* (* b b) (+ 3 a)) (* (* b b) (+ 3 a))) (* (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))) (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (+ (pow (* (* a a) (- 1 a)) 3) (pow (* (* b b) (+ 3 a)) 3))))) (* (+ (* -2 (* (* a b) (* a b))) (- (pow b 4) (pow a 4))) (+ (* (* (- 1 a) (* a a)) (* (- 1 a) (* a a))) (* (- (* (+ 3 a) (* b b)) (* (- 1 a) (* a a))) (* (+ 3 a) (* b b)))))) 1)) * * * * [misc]progress: [ 43 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (- (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))) (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (- (* (* (* a a) (- 1 a)) (* (* a a) (- 1 a))) (* (* (* b b) (+ 3 a)) (* (* b b) (+ 3 a))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (360 enodes) * [exit]simplify: Simplified to (* (- (- (pow b 4) (pow a 4)) (* (* (* a b) (* a b)) 2)) (+ (* (- (* (* a a) (- 1 a)) (* (+ 3 a) (* b b))) (+ (* (* (* a b) (* a b)) 2) (+ (pow a 4) (pow b 4)))) (* (* 4 (+ (* (* a a) (- 1 a)) (* (+ 3 a) (* b b)))) (- (* (* a a) (- 1 a)) (* (+ 3 a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (- (pow b 4) (pow a 4)) (* (* (* a b) (* a b)) 2)) (+ (* (- (* (* a a) (- 1 a)) (* (+ 3 a) (* b b))) (+ (* (* (* a b) (* a b)) 2) (+ (pow a 4) (pow b 4)))) (* (* 4 (+ (* (* a a) (- 1 a)) (* (+ 3 a) (* b b)))) (- (* (* a a) (- 1 a)) (* (+ 3 a) (* b b)))))) (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (- (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1)) * [enter]simplify: Simplifying (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (- (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * * [misc]simplify: iters left: 3 (387 enodes) * [exit]simplify: Simplified to (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a b) (* a b)))) (+ (* (- 1 a) (* a a)) (* (- -3 a) (* b b)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (/ (* (- (- (pow b 4) (pow a 4)) (* (* (* a b) (* a b)) 2)) (+ (* (- (* (* a a) (- 1 a)) (* (+ 3 a) (* b b))) (+ (* (* (* a b) (* a b)) 2) (+ (pow a 4) (pow b 4)))) (* (* 4 (+ (* (* a a) (- 1 a)) (* (+ 3 a) (* b b)))) (- (* (* a a) (- 1 a)) (* (+ 3 a) (* b b)))))) (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a b) (* a b)))) (+ (* (- 1 a) (* a a)) (* (- -3 a) (* b b))))) 1)) * * * * [misc]progress: [ 44 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* 4 (* (* b b) (+ 3 a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (306 enodes) * * [misc]simplify: iters left: 1 (335 enodes) * [exit]simplify: Simplified to (* (* 4 (* b b)) (+ 3 a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (+ (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (* (* a a) (- 1 a)))) (* (* 4 (* b b)) (+ 3 a))) 1)) * * * * [misc]progress: [ 48 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* b b) (+ 3 a)) 4) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (290 enodes) * * [misc]simplify: iters left: 1 (330 enodes) * [exit]simplify: Simplified to (* (+ (* a 4) 12) (* b b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (+ (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (* (* a a) (- 1 a)) 4)) (* (+ (* a 4) 12) (* b b))) 1)) * * * * [misc]progress: [ 49 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (pow b 4) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (pow b 4) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (+ (pow b 4) (+ (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 50 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* b b) (+ 3 a)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (* b b) (+ a 3)) * [misc]simplify: Simplified (2 1 2 2 2 1) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (+ (* (* a a) (- 1 a)) (pow (* (* b b) (+ a 3)) 1)))) 1)) * * * * [misc]progress: [ 52 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* b b)) (log (+ 3 a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (+ (log (* b b)) (log (+ 3 a))) * [misc]simplify: Simplified (2 1 2 2 2 1) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (+ (* (* a a) (- 1 a)) (exp (+ (log (* b b)) (log (+ 3 a))))))) 1)) * * * * [misc]progress: [ 54 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* b b) (* b b)) (* b b)) (* (* (+ 3 a) (+ 3 a)) (+ 3 a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * [exit]simplify: Simplified to (* (pow (+ a 3) 3) (* (pow b 3) (pow b 3))) * [misc]simplify: Simplified (2 1 2 2 2 1) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (+ (* (* a a) (- 1 a)) (cbrt (* (pow (+ a 3) 3) (* (pow b 3) (pow b 3))))))) 1)) * * * * [misc]progress: [ 57 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* b b) a) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (* (* b a) b) * [misc]simplify: Simplified (2 1 2 2 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (+ (* (* a a) (- 1 a)) (+ (* (* b b) 3) (* (* b a) b))))) 1)) * * * * [misc]progress: [ 62 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* a (* b b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (* a (* b b)) * [misc]simplify: Simplified (2 1 2 2 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (+ (* (* a a) (- 1 a)) (+ (* 3 (* b b)) (* a (* b b)))))) 1)) * * * * [misc]progress: [ 63 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ 3 a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ a 3)) * [misc]simplify: Simplified (2 1 2 2 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (+ (* (* a a) (- 1 a)) (* (* (* b b) (* (cbrt (+ 3 a)) (cbrt (+ 3 a)))) (cbrt (+ a 3)))))) 1)) * * * * [misc]progress: [ 64 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 3 a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ a 3)) * [misc]simplify: Simplified (2 1 2 2 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (+ (* (* a a) (- 1 a)) (* (* (* b b) (sqrt (+ 3 a))) (sqrt (+ a 3)))))) 1)) * * * * [misc]progress: [ 65 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 3 a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ a 3) * [misc]simplify: Simplified (2 1 2 2 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (+ (* (* a a) (- 1 a)) (* (* (* b b) 1) (+ a 3))))) 1)) * * * * [misc]progress: [ 66 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 3 3) (- (* a a) (* 3 a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (+ 9 (* (- a 3) a)) * [misc]simplify: Simplified (2 1 2 2 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (+ (* (* a a) (- 1 a)) (/ (* (* b b) (+ (pow 3 3) (pow a 3))) (+ 9 (* (- a 3) a)))))) 1)) * * * * [misc]progress: [ 68 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (- 3 a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- 3 a) * [misc]simplify: Simplified (2 1 2 2 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (+ (* (* a a) (- 1 a)) (/ (* (* b b) (- (* 3 3) (* a a))) (- 3 a))))) 1)) * * * * [misc]progress: [ 69 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* (* a a) (- 1 a))) (exp (* (* b b) (+ 3 a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (351 enodes) * [exit]simplify: Simplified to (exp (+ (* (+ a 3) (* b b)) (* (* a a) (- 1 a)))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (log (exp (+ (* (+ a 3) (* b b)) (* (* a a) (- 1 a))))))) 1)) * * * * [misc]progress: [ 71 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (* a a) (- (pow 1 3) (pow a 3))) (+ (* 3 3) (- (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (* b b) (+ (pow 3 3) (pow a 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (292 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ a 1) (* a a)) b) (+ (* b 27) (* (* b a) (* a a)))) (* (+ 9 (* a (+ -3 a))) (* (- 1 (pow a 3)) (* a a)))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (/ (+ (* (* (+ (+ a 1) (* a a)) b) (+ (* b 27) (* (* b a) (* a a)))) (* (+ 9 (* a (+ -3 a))) (* (- 1 (pow a 3)) (* a a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 3 3) (- (* a a) (* 3 a))))))) 1)) * [enter]simplify: Simplifying (* (+ (* 1 1) (+ (* a a) (* 1 a))) (+ (* 3 3) (- (* a a) (* 3 a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * [exit]simplify: Simplified to (* (+ 9 (* a (+ a -3))) (+ (* a a) (+ 1 a))) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (/ (+ (* (* (+ (+ a 1) (* a a)) b) (+ (* b 27) (* (* b a) (* a a)))) (* (+ 9 (* a (+ -3 a))) (* (- 1 (pow a 3)) (* a a)))) (* (+ 9 (* a (+ a -3))) (+ (* a a) (+ 1 a)))))) 1)) * * * * [misc]progress: [ 78 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (* a a) (- (pow 1 3) (pow a 3))) (- 3 a)) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (* b b) (- (* 3 3) (* a a))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * [exit]simplify: Simplified to (* (- 3 a) (+ (* (- 1 (pow a 3)) (* a a)) (* (+ (+ a 1) (* a a)) (* (+ 3 a) (* b b))))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (/ (* (- 3 a) (+ (* (- 1 (pow a 3)) (* a a)) (* (+ (+ a 1) (* a a)) (* (+ 3 a) (* b b))))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- 3 a))))) 1)) * [enter]simplify: Simplifying (* (+ (* 1 1) (+ (* a a) (* 1 a))) (- 3 a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * [exit]simplify: Simplified to (* (- 3 a) (+ (* a a) (+ 1 a))) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (/ (* (- 3 a) (+ (* (- 1 (pow a 3)) (* a a)) (* (+ (+ a 1) (* a a)) (* (+ 3 a) (* b b))))) (* (- 3 a) (+ (* a a) (+ 1 a)))))) 1)) * * * * [misc]progress: [ 79 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (* a a) (- (* 1 1) (* a a))) (+ (* 3 3) (- (* a a) (* 3 a)))) (* (+ 1 a) (* (* b b) (+ (pow 3 3) (pow a 3))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (265 enodes) * [exit]simplify: Simplified to (+ (* (* (+ a 1) (* b b)) (+ 27 (pow a 3))) (* (* (* a a) (- 1 (* a a))) (+ 9 (* a (- a 3))))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (/ (+ (* (* (+ a 1) (* b b)) (+ 27 (pow a 3))) (* (* (* a a) (- 1 (* a a))) (+ 9 (* a (- a 3))))) (* (+ 1 a) (+ (* 3 3) (- (* a a) (* 3 a))))))) 1)) * [enter]simplify: Simplifying (* (+ 1 a) (+ (* 3 3) (- (* a a) (* 3 a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (* (+ (* a (+ a -3)) 9) (+ a 1)) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (/ (+ (* (* (+ a 1) (* b b)) (+ 27 (pow a 3))) (* (* (* a a) (- 1 (* a a))) (+ 9 (* a (- a 3))))) (* (+ (* a (+ a -3)) 9) (+ a 1))))) 1)) * * * * [misc]progress: [ 80 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (* a a) (- (* 1 1) (* a a))) (- 3 a)) (* (+ 1 a) (* (* b b) (- (* 3 3) (* a a))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * [exit]simplify: Simplified to (+ (* (- 9 (* a a)) (* (* b b) (+ a 1))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (/ (+ (* (- 9 (* a a)) (* (* b b) (+ a 1))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (+ 1 a) (- 3 a))))) 1)) * [enter]simplify: Simplifying (* (+ 1 a) (- 3 a)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (* (- 3 a) (+ a 1)) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (/ (+ (* (- 9 (* a a)) (* (* b b) (+ a 1))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- 3 a) (+ a 1))))) 1)) * * * * [misc]progress: [ 81 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* b b) a) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (* (* b a) b) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (+ (+ (* (* a a) (- 1 a)) (* (* b b) 3)) (* (* b a) b)))) 1)) * * * * [misc]progress: [ 85 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* a (* b b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (* a (* b b)) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (+ (+ (* (* a a) (- 1 a)) (* 3 (* b b))) (* a (* b b))))) 1)) * * * * [misc]progress: [ 86 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* a a) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (* a a) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (+ (* a a) (+ (* (* a a) (- a)) (* (* b b) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 87 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* a a) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (* a a) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (+ (* a a) (+ (* (* a a) (- a)) (* (* b b) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 88 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (* a a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (* a a) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (+ (* a a) (+ (* (- a) (* a a)) (* (* b b) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 89 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (* a a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (* a a) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (+ (* a a) (+ (* (- a) (* a a)) (* (* b b) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 90 / 102 ] simplifiying candidate # * * * * [misc]progress: [ 91 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow a 2) (pow b 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* b b) (* a a)) * [misc]simplify: Simplified (2 1 1 2 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (* b b) (* a a))))) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1)) * * * * [misc]progress: [ 92 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow a 2) (pow b 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* b b) (* a a)) * [misc]simplify: Simplified (2 1 1 2 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (* b b) (* a a))))) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1)) * * * * [misc]progress: [ 93 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow a 2) (pow b 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* b b) (* a a)) * [misc]simplify: Simplified (2 1 1 2 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (* b b) (* a a))))) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1)) * * * * [misc]progress: [ 94 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 4 (pow a 2)) (+ (* 12 (pow b 2)) (* 4 (* a (pow b 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (+ (* (* 12 b) b) (* (* 4 a) (+ (* b b) a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (- (+ (* (* 12 b) b) (* (* 4 a) (+ (* b b) a))) 1)) * * * * [misc]progress: [ 95 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) * [misc]simplify: Simplified (2 1) to (λ (a b) (- (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) 1)) * * * * [misc]progress: [ 96 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) * [misc]simplify: Simplified (2 1) to (λ (a b) (- (+ (* 2 (* (* a b) (* a b))) (+ (pow a 4) (pow b 4))) 1)) * * * * [misc]progress: [ 97 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 3 (pow b 2)) (* a (pow b 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (* (* b b) (+ a 3)) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ a 3))))) 1)) * * * * [misc]progress: [ 98 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 3 (pow b 2)) (* a (pow b 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (* (* b b) (+ a 3)) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ a 3))))) 1)) * * * * [misc]progress: [ 99 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 3 (pow b 2)) (* a (pow b 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (* (* b b) (+ a 3)) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ a 3))))) 1)) * * * * [misc]progress: [ 100 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow a 2) (* 3 (pow b 2))) (pow a 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (+ (* (- 1 a) (* a a)) (* 3 (* b b))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (+ (* (- 1 a) (* a a)) (* 3 (* b b))))) 1)) * * * * [misc]progress: [ 101 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 3 (pow b 2)) (* a (pow b 2))) (pow a 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (+ (* (- a) (* a a)) (* (+ a 3) (* b b))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (+ (* (- a) (* a a)) (* (+ a 3) (* b b))))) 1)) * * * * [misc]progress: [ 102 / 102 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 3 (pow b 2)) (* a (pow b 2))) (pow a 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (+ (* (- a) (* a a)) (* (+ a 3) (* b b))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (+ (* (- a) (* a a)) (* (+ a 3) (* b b))))) 1)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 2 2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 1 2 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))) (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))) (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a)))) in a * [misc]taylor: Taking taylor expansion of (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))) in a * [misc]taylor: Taking taylor expansion of (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) in a * [misc]taylor: Taking taylor expansion of (- (pow b 4) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 (* b b)) (* a a)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* b b)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a)))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) in a * [misc]taylor: Taking taylor expansion of (* (* (- 3 a) (* a a)) (- 1 (* a a))) in a * [misc]taylor: Taking taylor expansion of (* (- 3 a) (* a a)) in a * [misc]taylor: Taking taylor expansion of (- 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* a a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (+ a 1) (* b b)) (- 9 (* a a))) in a * [misc]taylor: Taking taylor expansion of (* (+ a 1) (* b b)) in a * [misc]taylor: Taking taylor expansion of (+ a 1) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- 9 (* a a)) in a * [misc]taylor: Taking taylor expansion of 9 in a * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))) in a * [misc]taylor: Taking taylor expansion of (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) in a * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (pow b 4)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (* 2 (* b b)) (* a a)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* b b)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ a 1) (- 3 a)) in a * [misc]taylor: Taking taylor expansion of (+ a 1) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) in a * [misc]taylor: Taking taylor expansion of (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) in a * [misc]taylor: Taking taylor expansion of (pow b 4) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (+ 1 a) (- 3 a)) in a * [misc]taylor: Taking taylor expansion of (+ 1 a) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 2 (pow b 2)) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (* 2 (pow b 2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 1 (pow b 2)) into (pow b 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 9 0) into 9 * [misc]backup-simplify: Simplify (* (pow b 2) 9) into (* 9 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (* 9 (pow b 2))) into (* 9 (pow b 2)) * [misc]backup-simplify: Simplify (* (* 9 (pow b 2)) 4) into (* 36 (pow b 2)) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (+ 0 (pow b 4)) into (pow b 4) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 2 (pow b 2)) into (* 2 (pow b 2)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (* 2 (pow b 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]backup-simplify: Simplify (* 1 3) into 3 * [misc]backup-simplify: Simplify (* (pow b 4) 3) into (* 3 (pow b 4)) * [misc]backup-simplify: Simplify (+ (* 36 (pow b 2)) (* 3 (pow b 4))) into (+ (* 3 (pow b 4)) (* 36 (pow b 2))) * [misc]backup-simplify: Simplify (* (pow b 4) (+ (* 3 (pow b 4)) (* 36 (pow b 2)))) into (* (+ (* 3 (pow b 4)) (* 36 (pow b 2))) (pow b 4)) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]backup-simplify: Simplify (+ (pow b 4) 0) into (pow b 4) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]backup-simplify: Simplify (* 1 3) into 3 * [misc]backup-simplify: Simplify (* (pow b 4) 3) into (* 3 (pow b 4)) * [misc]backup-simplify: Simplify (/ (* (+ (* 3 (pow b 4)) (* 36 (pow b 2))) (pow b 4)) (* 3 (pow b 4))) into (* 1/3 (+ (* 3 (pow b 4)) (* 36 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (/ (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))) (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a)))) in b * [misc]taylor: Taking taylor expansion of (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))) in b * [misc]taylor: Taking taylor expansion of (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) in b * [misc]taylor: Taking taylor expansion of (- (pow b 4) (pow a 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (* 2 (* b b)) (* a a)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* b b)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a)))) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) in b * [misc]taylor: Taking taylor expansion of (* (* (- 3 a) (* a a)) (- 1 (* a a))) in b * [misc]taylor: Taking taylor expansion of (* (- 3 a) (* a a)) in b * [misc]taylor: Taking taylor expansion of (- 3 a) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- 1 (* a a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (* (+ a 1) (* b b)) (- 9 (* a a))) in b * [misc]taylor: Taking taylor expansion of (* (+ a 1) (* b b)) in b * [misc]taylor: Taking taylor expansion of (+ a 1) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 9 (* a a)) in b * [misc]taylor: Taking taylor expansion of 9 in b * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))) in b * [misc]taylor: Taking taylor expansion of (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) in b * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 (* b b)) (* a a)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* b b)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (+ a 1) (- 3 a)) in b * [misc]taylor: Taking taylor expansion of (+ a 1) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 3 a) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) in b * [misc]taylor: Taking taylor expansion of (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ 1 a) (- 3 a)) in b * [misc]taylor: Taking taylor expansion of (+ 1 a) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- 3 a) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) * [misc]backup-simplify: Simplify (- (pow a 4)) into (- (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (- (pow a 4))) into (- (pow a 4)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* 0 (pow a 2)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (pow a 4)) 0) into (- (pow a 4)) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 3 (- a)) into (- 3 a) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* (- 3 a) (pow a 2)) into (* (pow a 2) (- 3 a)) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (- (pow a 2)) into (- (pow a 2)) * [misc]backup-simplify: Simplify (+ 1 (- (pow a 2))) into (- 1 (pow a 2)) * [misc]backup-simplify: Simplify (* (* (pow a 2) (- 3 a)) (- 1 (pow a 2))) into (* (pow a 2) (* (- 3 a) (- 1 (pow a 2)))) * [misc]backup-simplify: Simplify (+ a 1) into (+ a 1) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (+ a 1) 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (- (pow a 2)) into (- (pow a 2)) * [misc]backup-simplify: Simplify (+ 9 (- (pow a 2))) into (- 9 (pow a 2)) * [misc]backup-simplify: Simplify (* 0 (- 9 (pow a 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) (* (- 3 a) (- 1 (pow a 2)))) 0) into (- (+ (* 3 (pow a 2)) (pow a 5)) (+ (* 3 (pow a 4)) (pow a 3))) * [misc]backup-simplify: Simplify (* (- (+ (* 3 (pow a 2)) (pow a 5)) (+ (* 3 (pow a 4)) (pow a 3))) 4) into (* 4 (- (+ (* 3 (pow a 2)) (pow a 5)) (+ (* 3 (pow a 4)) (pow a 3)))) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) * [misc]backup-simplify: Simplify (+ (pow a 4) 0) into (pow a 4) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* 0 (pow a 2)) into 0 * [misc]backup-simplify: Simplify (+ (pow a 4) 0) into (pow a 4) * [misc]backup-simplify: Simplify (+ a 1) into (+ a 1) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 3 (- a)) into (- 3 a) * [misc]backup-simplify: Simplify (* (+ a 1) (- 3 a)) into (* (- 3 a) (+ a 1)) * [misc]backup-simplify: Simplify (* (pow a 4) (* (- 3 a) (+ a 1))) into (* (pow a 4) (* (- 3 a) (+ a 1))) * [misc]backup-simplify: Simplify (+ (* 4 (- (+ (* 3 (pow a 2)) (pow a 5)) (+ (* 3 (pow a 4)) (pow a 3)))) (* (pow a 4) (* (- 3 a) (+ a 1)))) into (- (+ (* 12 (pow a 2)) (* 6 (pow a 5))) (+ (* 9 (pow a 4)) (+ (pow a 6) (* 4 (pow a 3))))) * [misc]backup-simplify: Simplify (* (- (pow a 4)) (- (+ (* 12 (pow a 2)) (* 6 (pow a 5))) (+ (* 9 (pow a 4)) (+ (pow a 6) (* 4 (pow a 3)))))) into (* -1 (* (pow a 4) (- (+ (* 12 (pow a 2)) (* 6 (pow a 5))) (+ (* 9 (pow a 4)) (+ (pow a 6) (* 4 (pow a 3))))))) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) * [misc]backup-simplify: Simplify (+ (pow a 4) 0) into (pow a 4) * [misc]backup-simplify: Simplify (- (pow a 4)) into (- (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (- (pow a 4))) into (- (pow a 4)) * [misc]backup-simplify: Simplify (+ 1 a) into (+ a 1) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 3 (- a)) into (- 3 a) * [misc]backup-simplify: Simplify (* (+ a 1) (- 3 a)) into (* (- 3 a) (+ a 1)) * [misc]backup-simplify: Simplify (* (- (pow a 4)) (* (- 3 a) (+ a 1))) into (* -1 (* (pow a 4) (* (- 3 a) (+ a 1)))) * [misc]backup-simplify: Simplify (/ (* -1 (* (pow a 4) (- (+ (* 12 (pow a 2)) (* 6 (pow a 5))) (+ (* 9 (pow a 4)) (+ (pow a 6) (* 4 (pow a 3))))))) (* -1 (* (pow a 4) (* (- 3 a) (+ a 1))))) into (/ (- (+ (* 12 (pow a 2)) (* 6 (pow a 5))) (+ (* 9 (pow a 4)) (+ (pow a 6) (* 4 (pow a 3))))) (* (- 3 a) (+ a 1))) * [misc]taylor: Taking taylor expansion of (/ (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))) (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a)))) in b * [misc]taylor: Taking taylor expansion of (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))) in b * [misc]taylor: Taking taylor expansion of (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) in b * [misc]taylor: Taking taylor expansion of (- (pow b 4) (pow a 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (* 2 (* b b)) (* a a)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* b b)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a)))) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) in b * [misc]taylor: Taking taylor expansion of (* (* (- 3 a) (* a a)) (- 1 (* a a))) in b * [misc]taylor: Taking taylor expansion of (* (- 3 a) (* a a)) in b * [misc]taylor: Taking taylor expansion of (- 3 a) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- 1 (* a a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (* (+ a 1) (* b b)) (- 9 (* a a))) in b * [misc]taylor: Taking taylor expansion of (* (+ a 1) (* b b)) in b * [misc]taylor: Taking taylor expansion of (+ a 1) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 9 (* a a)) in b * [misc]taylor: Taking taylor expansion of 9 in b * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))) in b * [misc]taylor: Taking taylor expansion of (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) in b * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 (* b b)) (* a a)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* b b)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (+ a 1) (- 3 a)) in b * [misc]taylor: Taking taylor expansion of (+ a 1) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 3 a) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) in b * [misc]taylor: Taking taylor expansion of (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (pow a 4) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* 2 (* (pow a 2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ 1 a) (- 3 a)) in b * [misc]taylor: Taking taylor expansion of (+ 1 a) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- 3 a) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) * [misc]backup-simplify: Simplify (- (pow a 4)) into (- (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (- (pow a 4))) into (- (pow a 4)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* 0 (pow a 2)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (pow a 4)) 0) into (- (pow a 4)) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 3 (- a)) into (- 3 a) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* (- 3 a) (pow a 2)) into (* (pow a 2) (- 3 a)) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (- (pow a 2)) into (- (pow a 2)) * [misc]backup-simplify: Simplify (+ 1 (- (pow a 2))) into (- 1 (pow a 2)) * [misc]backup-simplify: Simplify (* (* (pow a 2) (- 3 a)) (- 1 (pow a 2))) into (* (pow a 2) (* (- 3 a) (- 1 (pow a 2)))) * [misc]backup-simplify: Simplify (+ a 1) into (+ a 1) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (+ a 1) 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (- (pow a 2)) into (- (pow a 2)) * [misc]backup-simplify: Simplify (+ 9 (- (pow a 2))) into (- 9 (pow a 2)) * [misc]backup-simplify: Simplify (* 0 (- 9 (pow a 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) (* (- 3 a) (- 1 (pow a 2)))) 0) into (- (+ (* 3 (pow a 2)) (pow a 5)) (+ (* 3 (pow a 4)) (pow a 3))) * [misc]backup-simplify: Simplify (* (- (+ (* 3 (pow a 2)) (pow a 5)) (+ (* 3 (pow a 4)) (pow a 3))) 4) into (* 4 (- (+ (* 3 (pow a 2)) (pow a 5)) (+ (* 3 (pow a 4)) (pow a 3)))) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) * [misc]backup-simplify: Simplify (+ (pow a 4) 0) into (pow a 4) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* 0 (pow a 2)) into 0 * [misc]backup-simplify: Simplify (+ (pow a 4) 0) into (pow a 4) * [misc]backup-simplify: Simplify (+ a 1) into (+ a 1) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 3 (- a)) into (- 3 a) * [misc]backup-simplify: Simplify (* (+ a 1) (- 3 a)) into (* (- 3 a) (+ a 1)) * [misc]backup-simplify: Simplify (* (pow a 4) (* (- 3 a) (+ a 1))) into (* (pow a 4) (* (- 3 a) (+ a 1))) * [misc]backup-simplify: Simplify (+ (* 4 (- (+ (* 3 (pow a 2)) (pow a 5)) (+ (* 3 (pow a 4)) (pow a 3)))) (* (pow a 4) (* (- 3 a) (+ a 1)))) into (- (+ (* 12 (pow a 2)) (* 6 (pow a 5))) (+ (* 9 (pow a 4)) (+ (pow a 6) (* 4 (pow a 3))))) * [misc]backup-simplify: Simplify (* (- (pow a 4)) (- (+ (* 12 (pow a 2)) (* 6 (pow a 5))) (+ (* 9 (pow a 4)) (+ (pow a 6) (* 4 (pow a 3)))))) into (* -1 (* (pow a 4) (- (+ (* 12 (pow a 2)) (* 6 (pow a 5))) (+ (* 9 (pow a 4)) (+ (pow a 6) (* 4 (pow a 3))))))) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) * [misc]backup-simplify: Simplify (+ (pow a 4) 0) into (pow a 4) * [misc]backup-simplify: Simplify (- (pow a 4)) into (- (pow a 4)) * [misc]backup-simplify: Simplify (+ 0 (- (pow a 4))) into (- (pow a 4)) * [misc]backup-simplify: Simplify (+ 1 a) into (+ a 1) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 3 (- a)) into (- 3 a) * [misc]backup-simplify: Simplify (* (+ a 1) (- 3 a)) into (* (- 3 a) (+ a 1)) * [misc]backup-simplify: Simplify (* (- (pow a 4)) (* (- 3 a) (+ a 1))) into (* -1 (* (pow a 4) (* (- 3 a) (+ a 1)))) * [misc]backup-simplify: Simplify (/ (* -1 (* (pow a 4) (- (+ (* 12 (pow a 2)) (* 6 (pow a 5))) (+ (* 9 (pow a 4)) (+ (pow a 6) (* 4 (pow a 3))))))) (* -1 (* (pow a 4) (* (- 3 a) (+ a 1))))) into (/ (- (+ (* 12 (pow a 2)) (* 6 (pow a 5))) (+ (* 9 (pow a 4)) (+ (pow a 6) (* 4 (pow a 3))))) (* (- 3 a) (+ a 1))) * [misc]taylor: Taking taylor expansion of (/ (- (+ (* 12 (pow a 2)) (* 6 (pow a 5))) (+ (* 9 (pow a 4)) (+ (pow a 6) (* 4 (pow a 3))))) (* (- 3 a) (+ a 1))) in a * [misc]taylor: Taking taylor expansion of (- (+ (* 12 (pow a 2)) (* 6 (pow a 5))) (+ (* 9 (pow a 4)) (+ (pow a 6) (* 4 (pow a 3))))) in a * [misc]taylor: Taking taylor expansion of (+ (* 12 (pow a 2)) (* 6 (pow a 5))) in a * [misc]taylor: Taking taylor expansion of (* 12 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of 12 in a * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 6 (pow a 5)) in a * [misc]taylor: Taking taylor expansion of 6 in a * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (pow a 5) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 9 (pow a 4)) (+ (pow a 6) (* 4 (pow a 3)))) in a * [misc]taylor: Taking taylor expansion of (* 9 (pow a 4)) in a * [misc]taylor: Taking taylor expansion of 9 in a * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow a 6) (* 4 (pow a 3))) in a * [misc]taylor: Taking taylor expansion of (pow a 6) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 4 (pow a 3)) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 3 a) (+ a 1)) in a * [misc]taylor: Taking taylor expansion of (- 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ a 1) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 12 1) into 12 * [misc]backup-simplify: Simplify (+ 12 0) into 12 * [misc]backup-simplify: Simplify (+ 12 0) into 12 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (/ 12 3) into 4 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3 a) 0) (* 0 (pow a 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (pow a 2) (- 3 a)) 0) (* 0 (- 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ a 1) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (- 9 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (+ (* 3 (pow a 2)) (pow a 5)) (+ (* 3 (pow a 4)) (pow a 3))) 0) (* 0 4)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ a 1) 0) (* 0 (- 3 a))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (* 0 (pow a 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (pow a 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 4) 0) (* 0 (* (- 3 a) (+ a 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (* 0 (pow a 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (pow a 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (pow a 4)) 0) (* 0 (- (+ (* 12 (pow a 2)) (* 6 (pow a 5))) (+ (* 9 (pow a 4)) (+ (pow a 6) (* 4 (pow a 3))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ a 1) 0) (* 0 (- 3 a))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (* 0 (pow a 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (pow a 4)) 0) (* 0 (* (- 3 a) (+ a 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -1 (* (pow a 4) (* (- 3 a) (+ a 1))))) (+ (* (/ (- (+ (* 12 (pow a 2)) (* 6 (pow a 5))) (+ (* 9 (pow a 4)) (+ (pow a 6) (* 4 (pow a 3))))) (* (- 3 a) (+ a 1))) (/ 0 (* -1 (* (pow a 4) (* (- 3 a) (+ a 1)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3 a) 0) (+ (* 0 0) (* 0 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (pow a 2) (- 3 a)) 0) (+ (* 0 0) (* 0 (- 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ a 1) 1) (+ (* 0 0) (* 0 0))) into (+ a 1) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* (+ a 1) (- 9 (pow a 2))))) into (- (+ (* 9 a) 9) (+ (pow a 2) (pow a 3))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 9 a) 9) (+ (pow a 2) (pow a 3)))) into (- (+ (* 9 a) 9) (+ (pow a 2) (pow a 3))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 3 (pow a 2)) (pow a 5)) (+ (* 3 (pow a 4)) (pow a 3))) 0) (+ (* 0 0) (* (- (+ (* 9 a) 9) (+ (pow a 2) (pow a 3))) 4))) into (- (+ (* 36 a) 36) (+ (* 4 (pow a 2)) (* 4 (pow a 3)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ a 1) 0) (+ (* 0 0) (* 0 (- 3 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (* 0 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 2 1) (+ (* 0 0) (* 0 0))) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 2 (pow a 2)))) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (pow a 2))) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* (pow a 4) 0) (+ (* 0 0) (* (* 2 (pow a 2)) (* (- 3 a) (+ a 1))))) into (- (+ (* 6 (pow a 2)) (* 4 (pow a 3))) (* 2 (pow a 4))) * [misc]backup-simplify: Simplify (+ (- (+ (* 36 a) 36) (+ (* 4 (pow a 2)) (* 4 (pow a 3)))) (- (+ (* 6 (pow a 2)) (* 4 (pow a 3))) (* 2 (pow a 4)))) into (- (+ (* 36 a) (+ (* 2 (pow a 2)) 36)) (* 2 (pow a 4))) * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (* 0 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 2 1) (+ (* 0 0) (* 0 0))) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 2 (pow a 2)))) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (- (* 2 (pow a 2))) into (- (* 2 (pow a 2))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (pow a 2)))) into (- (* 2 (pow a 2))) * [misc]backup-simplify: Simplify (+ (* (- (pow a 4)) (- (+ (* 36 a) (+ (* 2 (pow a 2)) 36)) (* 2 (pow a 4)))) (+ (* 0 0) (* (- (* 2 (pow a 2))) (- (+ (* 12 (pow a 2)) (* 6 (pow a 5))) (+ (* 9 (pow a 4)) (+ (pow a 6) (* 4 (pow a 3)))))))) into (- (+ (* 16 (pow a 6)) (* 4 (pow a 8))) (+ (* 28 (pow a 5)) (+ (* 60 (pow a 4)) (* 12 (pow a 7))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ a 1) 0) (+ (* 0 0) (* 0 (- 3 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (* 0 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow a 2) 1) into (pow a 2) * [misc]backup-simplify: Simplify (* 2 (pow a 2)) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (pow a 2))) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (- (* 2 (pow a 2))) into (- (* 2 (pow a 2))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (pow a 2)))) into (- (* 2 (pow a 2))) * [misc]backup-simplify: Simplify (+ (* (- (pow a 4)) 0) (+ (* 0 0) (* (- (* 2 (pow a 2))) (* (- 3 a) (+ a 1))))) into (- (* 2 (pow a 4)) (+ (* 6 (pow a 2)) (* 4 (pow a 3)))) * [misc]backup-simplify: Simplify (- (/ (- (+ (* 16 (pow a 6)) (* 4 (pow a 8))) (+ (* 28 (pow a 5)) (+ (* 60 (pow a 4)) (* 12 (pow a 7))))) (* -1 (* (pow a 4) (* (- 3 a) (+ a 1))))) (+ (* (/ (- (+ (* 12 (pow a 2)) (* 6 (pow a 5))) (+ (* 9 (pow a 4)) (+ (pow a 6) (* 4 (pow a 3))))) (* (- 3 a) (+ a 1))) (/ (- (* 2 (pow a 4)) (+ (* 6 (pow a 2)) (* 4 (pow a 3)))) (* -1 (* (pow a 4) (* (- 3 a) (+ a 1)))))) (* 0 (/ 0 (* -1 (* (pow a 4) (* (- 3 a) (+ a 1)))))))) into (- (+ (* 60 (/ 1 (* (- 3 a) (+ a 1)))) (+ (* 16 (/ (pow a 5) (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) (+ (* 12 (/ (pow a 3) (* (- 3 a) (+ a 1)))) (+ (* 94 (/ (pow a 2) (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) (* 28 (/ a (* (- 3 a) (+ a 1)))))))) (+ (* 36 (/ (pow a 4) (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) (+ (* 72 (/ 1 (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) (+ (* 2 (/ (pow a 6) (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) (+ (* 8 (/ (pow a 3) (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) (+ (* 24 (/ a (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) (+ (* 4 (/ (pow a 4) (* (- 3 a) (+ a 1)))) (* 16 (/ (pow a 2) (* (- 3 a) (+ a 1))))))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 60 (/ 1 (* (- 3 a) (+ a 1)))) (+ (* 16 (/ (pow a 5) (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) (+ (* 12 (/ (pow a 3) (* (- 3 a) (+ a 1)))) (+ (* 94 (/ (pow a 2) (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) (* 28 (/ a (* (- 3 a) (+ a 1)))))))) (+ (* 36 (/ (pow a 4) (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) (+ (* 72 (/ 1 (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) (+ (* 2 (/ (pow a 6) (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) (+ (* 8 (/ (pow a 3) (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) (+ (* 24 (/ a (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) (+ (* 4 (/ (pow a 4) (* (- 3 a) (+ a 1)))) (* 16 (/ (pow a 2) (* (- 3 a) (+ a 1))))))))))) in a * [misc]taylor: Taking taylor expansion of (+ (* 60 (/ 1 (* (- 3 a) (+ a 1)))) (+ (* 16 (/ (pow a 5) (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) (+ (* 12 (/ (pow a 3) (* (- 3 a) (+ a 1)))) (+ (* 94 (/ (pow a 2) (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) (* 28 (/ a (* (- 3 a) (+ a 1)))))))) in a * [misc]taylor: Taking taylor expansion of (* 60 (/ 1 (* (- 3 a) (+ a 1)))) in a * [misc]taylor: Taking taylor expansion of 60 in a * [misc]backup-simplify: Simplify 60 into 60 * [misc]taylor: Taking taylor expansion of (/ 1 (* (- 3 a) (+ a 1))) in a * [misc]taylor: Taking taylor expansion of (* (- 3 a) (+ a 1)) in a * [misc]taylor: Taking taylor expansion of (- 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ a 1) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (/ 1 3) into 1/3 * [misc]taylor: Taking taylor expansion of (+ (* 16 (/ (pow a 5) (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) (+ (* 12 (/ (pow a 3) (* (- 3 a) (+ a 1)))) (+ (* 94 (/ (pow a 2) (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) (* 28 (/ a (* (- 3 a) (+ a 1))))))) in a * [misc]taylor: Taking taylor expansion of (* 16 (/ (pow a 5) (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) in a * [misc]taylor: Taking taylor expansion of 16 in a * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (/ (pow a 5) (* (pow (- 3 a) 2) (pow (+ a 1) 2))) in a * [misc]taylor: Taking taylor expansion of (pow a 5) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (- 3 a) 2) (pow (+ a 1) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (- 3 a) 2) in a * [misc]taylor: Taking taylor expansion of (- 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]taylor: Taking taylor expansion of (pow (+ a 1) 2) in a * [misc]taylor: Taking taylor expansion of (+ a 1) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 3) into 9 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 9 1) into 9 * [misc]backup-simplify: Simplify (/ 1 9) into 1/9 * [misc]taylor: Taking taylor expansion of (+ (* 12 (/ (pow a 3) (* (- 3 a) (+ a 1)))) (+ (* 94 (/ (pow a 2) (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) (* 28 (/ a (* (- 3 a) (+ a 1)))))) in a * [misc]taylor: Taking taylor expansion of (* 12 (/ (pow a 3) (* (- 3 a) (+ a 1)))) in a * [misc]taylor: Taking taylor expansion of 12 in a * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ (pow a 3) (* (- 3 a) (+ a 1))) in a * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 3 a) (+ a 1)) in a * [misc]taylor: Taking taylor expansion of (- 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ a 1) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (/ 1 3) into 1/3 * [misc]taylor: Taking taylor expansion of (+ (* 94 (/ (pow a 2) (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) (* 28 (/ a (* (- 3 a) (+ a 1))))) in a * [misc]taylor: Taking taylor expansion of (* 94 (/ (pow a 2) (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) in a * [misc]taylor: Taking taylor expansion of 94 in a * [misc]backup-simplify: Simplify 94 into 94 * [misc]taylor: Taking taylor expansion of (/ (pow a 2) (* (pow (- 3 a) 2) (pow (+ a 1) 2))) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (- 3 a) 2) (pow (+ a 1) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (- 3 a) 2) in a * [misc]taylor: Taking taylor expansion of (- 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]taylor: Taking taylor expansion of (pow (+ a 1) 2) in a * [misc]taylor: Taking taylor expansion of (+ a 1) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 3) into 9 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 9 1) into 9 * [misc]backup-simplify: Simplify (/ 1 9) into 1/9 * [misc]taylor: Taking taylor expansion of (* 28 (/ a (* (- 3 a) (+ a 1)))) in a * [misc]taylor: Taking taylor expansion of 28 in a * [misc]backup-simplify: Simplify 28 into 28 * [misc]taylor: Taking taylor expansion of (/ a (* (- 3 a) (+ a 1))) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 3 a) (+ a 1)) in a * [misc]taylor: Taking taylor expansion of (- 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ a 1) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (/ 1 3) into 1/3 * [misc]taylor: Taking taylor expansion of (+ (* 36 (/ (pow a 4) (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) (+ (* 72 (/ 1 (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) (+ (* 2 (/ (pow a 6) (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) (+ (* 8 (/ (pow a 3) (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) (+ (* 24 (/ a (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) (+ (* 4 (/ (pow a 4) (* (- 3 a) (+ a 1)))) (* 16 (/ (pow a 2) (* (- 3 a) (+ a 1)))))))))) in a * [misc]taylor: Taking taylor expansion of (* 36 (/ (pow a 4) (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) in a * [misc]taylor: Taking taylor expansion of 36 in a * [misc]backup-simplify: Simplify 36 into 36 * [misc]taylor: Taking taylor expansion of (/ (pow a 4) (* (pow (- 3 a) 2) (pow (+ a 1) 2))) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (- 3 a) 2) (pow (+ a 1) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (- 3 a) 2) in a * [misc]taylor: Taking taylor expansion of (- 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]taylor: Taking taylor expansion of (pow (+ a 1) 2) in a * [misc]taylor: Taking taylor expansion of (+ a 1) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 3) into 9 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 9 1) into 9 * [misc]backup-simplify: Simplify (/ 1 9) into 1/9 * [misc]taylor: Taking taylor expansion of (+ (* 72 (/ 1 (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) (+ (* 2 (/ (pow a 6) (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) (+ (* 8 (/ (pow a 3) (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) (+ (* 24 (/ a (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) (+ (* 4 (/ (pow a 4) (* (- 3 a) (+ a 1)))) (* 16 (/ (pow a 2) (* (- 3 a) (+ a 1))))))))) in a * [misc]taylor: Taking taylor expansion of (* 72 (/ 1 (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) in a * [misc]taylor: Taking taylor expansion of 72 in a * [misc]backup-simplify: Simplify 72 into 72 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (- 3 a) 2) (pow (+ a 1) 2))) in a * [misc]taylor: Taking taylor expansion of (* (pow (- 3 a) 2) (pow (+ a 1) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (- 3 a) 2) in a * [misc]taylor: Taking taylor expansion of (- 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]taylor: Taking taylor expansion of (pow (+ a 1) 2) in a * [misc]taylor: Taking taylor expansion of (+ a 1) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 3 3) into 9 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 9 1) into 9 * [misc]backup-simplify: Simplify (/ 1 9) into 1/9 * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ (pow a 6) (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) (+ (* 8 (/ (pow a 3) (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) (+ (* 24 (/ a (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) (+ (* 4 (/ (pow a 4) (* (- 3 a) (+ a 1)))) (* 16 (/ (pow a 2) (* (- 3 a) (+ a 1)))))))) in a * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow a 6) (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (pow a 6) (* (pow (- 3 a) 2) (pow (+ a 1) 2))) in a * [misc]taylor: Taking taylor expansion of (pow a 6) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (- 3 a) 2) (pow (+ a 1) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (- 3 a) 2) in a * [misc]taylor: Taking taylor expansion of (- 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]taylor: Taking taylor expansion of (pow (+ a 1) 2) in a * [misc]taylor: Taking taylor expansion of (+ a 1) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 3) into 9 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 9 1) into 9 * [misc]backup-simplify: Simplify (/ 1 9) into 1/9 * [misc]taylor: Taking taylor expansion of (+ (* 8 (/ (pow a 3) (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) (+ (* 24 (/ a (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) (+ (* 4 (/ (pow a 4) (* (- 3 a) (+ a 1)))) (* 16 (/ (pow a 2) (* (- 3 a) (+ a 1))))))) in a * [misc]taylor: Taking taylor expansion of (* 8 (/ (pow a 3) (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) in a * [misc]taylor: Taking taylor expansion of 8 in a * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (/ (pow a 3) (* (pow (- 3 a) 2) (pow (+ a 1) 2))) in a * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (- 3 a) 2) (pow (+ a 1) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (- 3 a) 2) in a * [misc]taylor: Taking taylor expansion of (- 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]taylor: Taking taylor expansion of (pow (+ a 1) 2) in a * [misc]taylor: Taking taylor expansion of (+ a 1) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 3) into 9 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 9 1) into 9 * [misc]backup-simplify: Simplify (/ 1 9) into 1/9 * [misc]taylor: Taking taylor expansion of (+ (* 24 (/ a (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) (+ (* 4 (/ (pow a 4) (* (- 3 a) (+ a 1)))) (* 16 (/ (pow a 2) (* (- 3 a) (+ a 1)))))) in a * [misc]taylor: Taking taylor expansion of (* 24 (/ a (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) in a * [misc]taylor: Taking taylor expansion of 24 in a * [misc]backup-simplify: Simplify 24 into 24 * [misc]taylor: Taking taylor expansion of (/ a (* (pow (- 3 a) 2) (pow (+ a 1) 2))) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (- 3 a) 2) (pow (+ a 1) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (- 3 a) 2) in a * [misc]taylor: Taking taylor expansion of (- 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]taylor: Taking taylor expansion of (pow (+ a 1) 2) in a * [misc]taylor: Taking taylor expansion of (+ a 1) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 3 3) into 9 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 9 1) into 9 * [misc]backup-simplify: Simplify (/ 1 9) into 1/9 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (pow a 4) (* (- 3 a) (+ a 1)))) (* 16 (/ (pow a 2) (* (- 3 a) (+ a 1))))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ (pow a 4) (* (- 3 a) (+ a 1)))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (pow a 4) (* (- 3 a) (+ a 1))) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 3 a) (+ a 1)) in a * [misc]taylor: Taking taylor expansion of (- 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ a 1) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (/ 1 3) into 1/3 * [misc]taylor: Taking taylor expansion of (* 16 (/ (pow a 2) (* (- 3 a) (+ a 1)))) in a * [misc]taylor: Taking taylor expansion of 16 in a * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (/ (pow a 2) (* (- 3 a) (+ a 1))) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 3 a) (+ a 1)) in a * [misc]taylor: Taking taylor expansion of (- 3 a) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ a 1) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify (/ 1 3) into 1/3 * [misc]backup-simplify: Simplify (* 60 1/3) into 20 * [misc]backup-simplify: Simplify (+ 20 0) into 20 * [misc]backup-simplify: Simplify (* 72 1/9) into 8 * [misc]backup-simplify: Simplify (+ 8 0) into 8 * [misc]backup-simplify: Simplify (+ 0 8) into 8 * [misc]backup-simplify: Simplify (- 8) into -8 * [misc]backup-simplify: Simplify (+ 20 -8) into 12 * [misc]backup-simplify: Simplify 12 into 12 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (pow a 2) (- 3 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (pow a 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ a 1) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* (+ a 1) 0) (* 0 (- 9 (pow a 2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (+ (* 3 (pow a 2)) (pow a 5)) (+ (* 3 (pow a 4)) (pow a 3))) 0) (+ (* 0 0) (+ (* (- (+ (* 9 a) 9) (+ (pow a 2) (pow a 3))) 0) (* 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ a 1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 3 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 2 0) (* 0 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 4) 0) (+ (* 0 0) (+ (* (* 2 (pow a 2)) 0) (* 0 (* (- 3 a) (+ a 1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 2 0) (* 0 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (pow a 4)) 0) (+ (* 0 (- (+ (* 36 a) (+ (* 2 (pow a 2)) 36)) (* 2 (pow a 4)))) (+ (* (- (* 2 (pow a 2))) 0) (* 0 (- (+ (* 12 (pow a 2)) (* 6 (pow a 5))) (+ (* 9 (pow a 4)) (+ (pow a 6) (* 4 (pow a 3))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ a 1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 3 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (pow a 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (pow a 4)) 0) (+ (* 0 0) (+ (* (- (* 2 (pow a 2))) 0) (* 0 (* (- 3 a) (+ a 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -1 (* (pow a 4) (* (- 3 a) (+ a 1))))) (+ (* (/ (- (+ (* 12 (pow a 2)) (* 6 (pow a 5))) (+ (* 9 (pow a 4)) (+ (pow a 6) (* 4 (pow a 3))))) (* (- 3 a) (+ a 1))) (/ 0 (* -1 (* (pow a 4) (* (- 3 a) (+ a 1)))))) (* 0 (/ (- (* 2 (pow a 4)) (+ (* 6 (pow a 2)) (* 4 (pow a 3)))) (* -1 (* (pow a 4) (* (- 3 a) (+ a 1)))))) (* (- (+ (* 60 (/ 1 (* (- 3 a) (+ a 1)))) (+ (* 16 (/ (pow a 5) (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) (+ (* 12 (/ (pow a 3) (* (- 3 a) (+ a 1)))) (+ (* 94 (/ (pow a 2) (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) (* 28 (/ a (* (- 3 a) (+ a 1)))))))) (+ (* 36 (/ (pow a 4) (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) (+ (* 72 (/ 1 (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) (+ (* 2 (/ (pow a 6) (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) (+ (* 8 (/ (pow a 3) (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) (+ (* 24 (/ a (* (pow (- 3 a) 2) (pow (+ a 1) 2)))) (+ (* 4 (/ (pow a 4) (* (- 3 a) (+ a 1)))) (* 16 (/ (pow a 2) (* (- 3 a) (+ a 1))))))))))) (/ 0 (* -1 (* (pow a 4) (* (- 3 a) (+ a 1)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 3 1) (* -1 1)) into 2 * [misc]backup-simplify: Simplify (- (+ (* 1/3 (/ 2 3)))) into -2/9 * [misc]backup-simplify: Simplify (+ (* 60 -2/9) (* 0 1/3)) into -40/3 * [misc]backup-simplify: Simplify (* 28 1/3) into 28/3 * [misc]backup-simplify: Simplify (+ 0 28/3) into 28/3 * [misc]backup-simplify: Simplify (+ 0 28/3) into 28/3 * [misc]backup-simplify: Simplify (+ 0 28/3) into 28/3 * [misc]backup-simplify: Simplify (+ -40/3 28/3) into -4 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 1)) into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 3 -1) (* -1 3)) into -6 * [misc]backup-simplify: Simplify (+ (* 9 2) (* -6 1)) into 12 * [misc]backup-simplify: Simplify (- (+ (* 1/9 (/ 12 9)))) into -4/27 * [misc]backup-simplify: Simplify (+ (* 72 -4/27) (* 0 1/9)) into -32/3 * [misc]backup-simplify: Simplify (* 24 1/9) into 8/3 * [misc]backup-simplify: Simplify (+ 8/3 0) into 8/3 * [misc]backup-simplify: Simplify (+ 0 8/3) into 8/3 * [misc]backup-simplify: Simplify (+ 0 8/3) into 8/3 * [misc]backup-simplify: Simplify (+ -32/3 8/3) into -8 * [misc]backup-simplify: Simplify (+ 0 -8) into -8 * [misc]backup-simplify: Simplify (- -8) into 8 * [misc]backup-simplify: Simplify (+ -4 8) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ (* 4 (* a (pow b 2))) (+ (* 4 (pow (* a 1) 2)) (* 12 (pow (* 1 b) 2)))) into (+ (* 4 (pow a 2)) (+ (* 12 (pow b 2)) (* 4 (* a (pow b 2))))) * [misc]approximate: Taking taylor expansion of (/ (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* 2 (* (/ 1 b) (/ 1 b))) (* (/ 1 a) (/ 1 a)))) (+ (* (+ (* (* (- 3 (/ 1 a)) (* (/ 1 a) (/ 1 a))) (- 1 (* (/ 1 a) (/ 1 a)))) (* (* (+ (/ 1 a) 1) (* (/ 1 b) (/ 1 b))) (- 9 (* (/ 1 a) (/ 1 a))))) 4) (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* 2 (* (/ 1 b) (/ 1 b))) (* (/ 1 a) (/ 1 a)))) (* (+ (/ 1 a) 1) (- 3 (/ 1 a)))))) (* (- (pow (/ 1 b) 4) (+ (pow (/ 1 a) 4) (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))))) (* (+ 1 (/ 1 a)) (- 3 (/ 1 a))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* 2 (* (/ 1 b) (/ 1 b))) (* (/ 1 a) (/ 1 a)))) (+ (* (+ (* (* (- 3 (/ 1 a)) (* (/ 1 a) (/ 1 a))) (- 1 (* (/ 1 a) (/ 1 a)))) (* (* (+ (/ 1 a) 1) (* (/ 1 b) (/ 1 b))) (- 9 (* (/ 1 a) (/ 1 a))))) 4) (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* 2 (* (/ 1 b) (/ 1 b))) (* (/ 1 a) (/ 1 a)))) (* (+ (/ 1 a) 1) (- 3 (/ 1 a)))))) (* (- (pow (/ 1 b) 4) (+ (pow (/ 1 a) 4) (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))))) (* (+ 1 (/ 1 a)) (- 3 (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* 2 (* (/ 1 b) (/ 1 b))) (* (/ 1 a) (/ 1 a)))) (+ (* (+ (* (* (- 3 (/ 1 a)) (* (/ 1 a) (/ 1 a))) (- 1 (* (/ 1 a) (/ 1 a)))) (* (* (+ (/ 1 a) 1) (* (/ 1 b) (/ 1 b))) (- 9 (* (/ 1 a) (/ 1 a))))) 4) (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* 2 (* (/ 1 b) (/ 1 b))) (* (/ 1 a) (/ 1 a)))) (* (+ (/ 1 a) 1) (- 3 (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* 2 (* (/ 1 b) (/ 1 b))) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 (* (/ 1 b) (/ 1 b))) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (+ (* (* (- 3 (/ 1 a)) (* (/ 1 a) (/ 1 a))) (- 1 (* (/ 1 a) (/ 1 a)))) (* (* (+ (/ 1 a) 1) (* (/ 1 b) (/ 1 b))) (- 9 (* (/ 1 a) (/ 1 a))))) 4) (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* 2 (* (/ 1 b) (/ 1 b))) (* (/ 1 a) (/ 1 a)))) (* (+ (/ 1 a) 1) (- 3 (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (* (- 3 (/ 1 a)) (* (/ 1 a) (/ 1 a))) (- 1 (* (/ 1 a) (/ 1 a)))) (* (* (+ (/ 1 a) 1) (* (/ 1 b) (/ 1 b))) (- 9 (* (/ 1 a) (/ 1 a))))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (* (- 3 (/ 1 a)) (* (/ 1 a) (/ 1 a))) (- 1 (* (/ 1 a) (/ 1 a)))) (* (* (+ (/ 1 a) 1) (* (/ 1 b) (/ 1 b))) (- 9 (* (/ 1 a) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* (* (- 3 (/ 1 a)) (* (/ 1 a) (/ 1 a))) (- 1 (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (- 3 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (+ (/ 1 a) 1) (* (/ 1 b) (/ 1 b))) (- 9 (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 1) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- 9 (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 9 in a * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* 2 (* (/ 1 b) (/ 1 b))) (* (/ 1 a) (/ 1 a)))) (* (+ (/ 1 a) 1) (- 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* 2 (* (/ 1 b) (/ 1 b))) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (* 2 (* (/ 1 b) (/ 1 b))) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 1) (- 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- (pow (/ 1 b) 4) (+ (pow (/ 1 a) 4) (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))))) (* (+ 1 (/ 1 a)) (- 3 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 b) 4) (+ (pow (/ 1 a) 4) (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 a) 4) (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (+ 1 (/ 1 a)) (- 3 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* 2 (* (/ 1 b) (/ 1 b))) (* (/ 1 a) (/ 1 a)))) (+ (* (+ (* (* (- 3 (/ 1 a)) (* (/ 1 a) (/ 1 a))) (- 1 (* (/ 1 a) (/ 1 a)))) (* (* (+ (/ 1 a) 1) (* (/ 1 b) (/ 1 b))) (- 9 (* (/ 1 a) (/ 1 a))))) 4) (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* 2 (* (/ 1 b) (/ 1 b))) (* (/ 1 a) (/ 1 a)))) (* (+ (/ 1 a) 1) (- 3 (/ 1 a)))))) (* (- (pow (/ 1 b) 4) (+ (pow (/ 1 a) 4) (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))))) (* (+ 1 (/ 1 a)) (- 3 (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* 2 (* (/ 1 b) (/ 1 b))) (* (/ 1 a) (/ 1 a)))) (+ (* (+ (* (* (- 3 (/ 1 a)) (* (/ 1 a) (/ 1 a))) (- 1 (* (/ 1 a) (/ 1 a)))) (* (* (+ (/ 1 a) 1) (* (/ 1 b) (/ 1 b))) (- 9 (* (/ 1 a) (/ 1 a))))) 4) (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* 2 (* (/ 1 b) (/ 1 b))) (* (/ 1 a) (/ 1 a)))) (* (+ (/ 1 a) 1) (- 3 (/ 1 a)))))) in b * [misc]taylor: Taking taylor expansion of (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* 2 (* (/ 1 b) (/ 1 b))) (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (* 2 (* (/ 1 b) (/ 1 b))) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ (* (+ (* (* (- 3 (/ 1 a)) (* (/ 1 a) (/ 1 a))) (- 1 (* (/ 1 a) (/ 1 a)))) (* (* (+ (/ 1 a) 1) (* (/ 1 b) (/ 1 b))) (- 9 (* (/ 1 a) (/ 1 a))))) 4) (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* 2 (* (/ 1 b) (/ 1 b))) (* (/ 1 a) (/ 1 a)))) (* (+ (/ 1 a) 1) (- 3 (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (* (- 3 (/ 1 a)) (* (/ 1 a) (/ 1 a))) (- 1 (* (/ 1 a) (/ 1 a)))) (* (* (+ (/ 1 a) 1) (* (/ 1 b) (/ 1 b))) (- 9 (* (/ 1 a) (/ 1 a))))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* (* (- 3 (/ 1 a)) (* (/ 1 a) (/ 1 a))) (- 1 (* (/ 1 a) (/ 1 a)))) (* (* (+ (/ 1 a) 1) (* (/ 1 b) (/ 1 b))) (- 9 (* (/ 1 a) (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (* (* (- 3 (/ 1 a)) (* (/ 1 a) (/ 1 a))) (- 1 (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (- 3 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (* (+ (/ 1 a) 1) (* (/ 1 b) (/ 1 b))) (- 9 (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 1) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 9 (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of 9 in b * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* 2 (* (/ 1 b) (/ 1 b))) (* (/ 1 a) (/ 1 a)))) (* (+ (/ 1 a) 1) (- 3 (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* 2 (* (/ 1 b) (/ 1 b))) (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 (* (/ 1 b) (/ 1 b))) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 1) (- 3 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (- (pow (/ 1 b) 4) (+ (pow (/ 1 a) 4) (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))))) (* (+ 1 (/ 1 a)) (- 3 (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 b) 4) (+ (pow (/ 1 a) 4) (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 a) 4) (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ 1 (/ 1 a)) (- 3 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (/ 1 a) 1) into (+ (/ 1 a) 1) * [misc]backup-simplify: Simplify (- (/ 1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ 3 (- (/ 1 a))) into (- 3 (/ 1 a)) * [misc]backup-simplify: Simplify (* (+ (/ 1 a) 1) (- 3 (/ 1 a))) into (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)) * [misc]backup-simplify: Simplify (* 1 (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))) into (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)) * [misc]backup-simplify: Simplify (+ 0 (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))) into (- (+ (* 2 (/ 1 a)) 3) (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (* 1 (- (+ (* 2 (/ 1 a)) 3) (/ 1 (pow a 2)))) into (- (+ (* 2 (/ 1 a)) 3) (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 (/ 1 a)) into (+ (/ 1 a) 1) * [misc]backup-simplify: Simplify (- (/ 1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ 3 (- (/ 1 a))) into (- 3 (/ 1 a)) * [misc]backup-simplify: Simplify (* (+ (/ 1 a) 1) (- 3 (/ 1 a))) into (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)) * [misc]backup-simplify: Simplify (* 1 (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))) into (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)) * [misc]backup-simplify: Simplify (/ (- (+ (* 2 (/ 1 a)) 3) (/ 1 (pow a 2))) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))) into (/ (- (+ (* 2 (/ 1 a)) 3) (/ 1 (pow a 2))) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))) * [misc]taylor: Taking taylor expansion of (/ (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* 2 (* (/ 1 b) (/ 1 b))) (* (/ 1 a) (/ 1 a)))) (+ (* (+ (* (* (- 3 (/ 1 a)) (* (/ 1 a) (/ 1 a))) (- 1 (* (/ 1 a) (/ 1 a)))) (* (* (+ (/ 1 a) 1) (* (/ 1 b) (/ 1 b))) (- 9 (* (/ 1 a) (/ 1 a))))) 4) (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* 2 (* (/ 1 b) (/ 1 b))) (* (/ 1 a) (/ 1 a)))) (* (+ (/ 1 a) 1) (- 3 (/ 1 a)))))) (* (- (pow (/ 1 b) 4) (+ (pow (/ 1 a) 4) (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))))) (* (+ 1 (/ 1 a)) (- 3 (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (* (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* 2 (* (/ 1 b) (/ 1 b))) (* (/ 1 a) (/ 1 a)))) (+ (* (+ (* (* (- 3 (/ 1 a)) (* (/ 1 a) (/ 1 a))) (- 1 (* (/ 1 a) (/ 1 a)))) (* (* (+ (/ 1 a) 1) (* (/ 1 b) (/ 1 b))) (- 9 (* (/ 1 a) (/ 1 a))))) 4) (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* 2 (* (/ 1 b) (/ 1 b))) (* (/ 1 a) (/ 1 a)))) (* (+ (/ 1 a) 1) (- 3 (/ 1 a)))))) in b * [misc]taylor: Taking taylor expansion of (- (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) (* (* 2 (* (/ 1 b) (/ 1 b))) (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 b) 4) (pow (/ 1 a) 4)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (* 2 (* (/ 1 b) (/ 1 b))) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ (* (+ (* (* (- 3 (/ 1 a)) (* (/ 1 a) (/ 1 a))) (- 1 (* (/ 1 a) (/ 1 a)))) (* (* (+ (/ 1 a) 1) (* (/ 1 b) (/ 1 b))) (- 9 (* (/ 1 a) (/ 1 a))))) 4) (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* 2 (* (/ 1 b) (/ 1 b))) (* (/ 1 a) (/ 1 a)))) (* (+ (/ 1 a) 1) (- 3 (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (* (- 3 (/ 1 a)) (* (/ 1 a) (/ 1 a))) (- 1 (* (/ 1 a) (/ 1 a)))) (* (* (+ (/ 1 a) 1) (* (/ 1 b) (/ 1 b))) (- 9 (* (/ 1 a) (/ 1 a))))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* (* (- 3 (/ 1 a)) (* (/ 1 a) (/ 1 a))) (- 1 (* (/ 1 a) (/ 1 a)))) (* (* (+ (/ 1 a) 1) (* (/ 1 b) (/ 1 b))) (- 9 (* (/ 1 a) (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (* (* (- 3 (/ 1 a)) (* (/ 1 a) (/ 1 a))) (- 1 (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (- 3 (/ 1 a)) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (* (+ (/ 1 a) 1) (* (/ 1 b) (/ 1 b))) (- 9 (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 1) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 9 (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of 9 in b * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* 2 (* (/ 1 b) (/ 1 b))) (* (/ 1 a) (/ 1 a)))) (* (+ (/ 1 a) 1) (- 3 (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) (* (* 2 (* (/ 1 b) (/ 1 b))) (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 a) 4) (pow (/ 1 b) 4)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 (* (/ 1 b) (/ 1 b))) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) 1) (- 3 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (- (pow (/ 1 b) 4) (+ (pow (/ 1 a) 4) (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))))) (* (+ 1 (/ 1 a)) (- 3 (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 b) 4) (+ (pow (/ 1 a) 4) (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 a) 4) (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 a) 2) (pow (/ 1 b) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ 1 (/ 1 a)) (- 3 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (/ 1 a) 1) into (+ (/ 1 a) 1) * [misc]backup-simplify: Simplify (- (/ 1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ 3 (- (/ 1 a))) into (- 3 (/ 1 a)) * [misc]backup-simplify: Simplify (* (+ (/ 1 a) 1) (- 3 (/ 1 a))) into (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)) * [misc]backup-simplify: Simplify (* 1 (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))) into (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)) * [misc]backup-simplify: Simplify (+ 0 (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))) into (- (+ (* 2 (/ 1 a)) 3) (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (* 1 (- (+ (* 2 (/ 1 a)) 3) (/ 1 (pow a 2)))) into (- (+ (* 2 (/ 1 a)) 3) (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 (/ 1 a)) into (+ (/ 1 a) 1) * [misc]backup-simplify: Simplify (- (/ 1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ 3 (- (/ 1 a))) into (- 3 (/ 1 a)) * [misc]backup-simplify: Simplify (* (+ (/ 1 a) 1) (- 3 (/ 1 a))) into (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)) * [misc]backup-simplify: Simplify (* 1 (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))) into (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)) * [misc]backup-simplify: Simplify (/ (- (+ (* 2 (/ 1 a)) 3) (/ 1 (pow a 2))) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))) into (/ (- (+ (* 2 (/ 1 a)) 3) (/ 1 (pow a 2))) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))) * [misc]taylor: Taking taylor expansion of (/ (- (+ (* 2 (/ 1 a)) 3) (/ 1 (pow a 2))) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))) in a * [misc]taylor: Taking taylor expansion of (- (+ (* 2 (/ 1 a)) 3) (/ 1 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 a)) 3) in a * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)) in a * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (/ 1 a) 1) 0) (* 0 (- 3 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (- (+ (* 2 (/ 1 a)) 3) (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (/ 1 a) 1) 0) (* 0 (- 3 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))) (+ (* (/ (- (+ (* 2 (/ 1 a)) 3) (/ 1 (pow a 2))) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))) (/ 0 (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 1 a) 1) into (+ (/ 1 a) 1) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (+ (/ 1 a) 1) 1) into (+ (/ 1 a) 1) * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ 9 (- (/ 1 (pow a 2)))) into (- 9 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (* (+ (/ 1 a) 1) (- 9 (/ 1 (pow a 2)))) into (* (- 9 (/ 1 (pow a 2))) (+ (/ 1 a) 1)) * [misc]backup-simplify: Simplify (+ 0 (* (- 9 (/ 1 (pow a 2))) (+ (/ 1 a) 1))) into (- (+ (* 9 (/ 1 a)) 9) (+ (/ 1 (pow a 2)) (/ 1 (pow a 3)))) * [misc]backup-simplify: Simplify (* (- (+ (* 9 (/ 1 a)) 9) (+ (/ 1 (pow a 2)) (/ 1 (pow a 3)))) 4) into (* 4 (- (+ (* 9 (/ 1 a)) 9) (+ (/ 1 (pow a 2)) (/ 1 (pow a 3))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (/ 1 a) 1) 0) (+ (* 0 0) (* 0 (- 3 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow a 2))) into (/ 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 2 (pow a 2))) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 2 (/ 1 (pow a 2))) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) into (- (+ (* 6 (/ 1 (pow a 2))) (* 4 (/ 1 (pow a 3)))) (* 2 (/ 1 (pow a 4)))) * [misc]backup-simplify: Simplify (+ (* 4 (- (+ (* 9 (/ 1 a)) 9) (+ (/ 1 (pow a 2)) (/ 1 (pow a 3))))) (- (+ (* 6 (/ 1 (pow a 2))) (* 4 (/ 1 (pow a 3)))) (* 2 (/ 1 (pow a 4))))) into (- (+ (* 36 (/ 1 a)) (+ (* 2 (/ 1 (pow a 2))) 36)) (* 2 (/ 1 (pow a 4)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow a 2))) into (/ 2 (pow a 2)) * [misc]backup-simplify: Simplify (- (/ 2 (pow a 2))) into (- (* 2 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 (pow a 2))))) into (- (* 2 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (+ (* 1 (- (+ (* 36 (/ 1 a)) (+ (* 2 (/ 1 (pow a 2))) 36)) (* 2 (/ 1 (pow a 4))))) (+ (* 0 0) (* (- (* 2 (/ 1 (pow a 2)))) (- (+ (* 2 (/ 1 a)) 3) (/ 1 (pow a 2)))))) into (- (+ (* 36 (/ 1 a)) 36) (+ (* 4 (/ 1 (pow a 2))) (* 4 (/ 1 (pow a 3))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (/ 1 a) 1) 0) (+ (* 0 0) (* 0 (- 3 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) 1) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow a 2))) into (/ 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 2 (pow a 2))) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (pow a 2)))) into (- (* 2 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 (pow a 2))))) into (- (* 2 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (- (* 2 (/ 1 (pow a 2)))) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) into (- (* 2 (/ 1 (pow a 4))) (+ (* 6 (/ 1 (pow a 2))) (* 4 (/ 1 (pow a 3))))) * [misc]backup-simplify: Simplify (- (/ (- (+ (* 36 (/ 1 a)) 36) (+ (* 4 (/ 1 (pow a 2))) (* 4 (/ 1 (pow a 3))))) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))) (+ (* (/ (- (+ (* 2 (/ 1 a)) 3) (/ 1 (pow a 2))) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))) (/ (- (* 2 (/ 1 (pow a 4))) (+ (* 6 (/ 1 (pow a 2))) (* 4 (/ 1 (pow a 3))))) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)))) (* 0 (/ 0 (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)))))) into (- (+ (* 18 (/ 1 (* (pow a 2) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (+ (* 2 (/ 1 (* (pow a 6) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (+ (* 36 (/ 1 (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)))) (+ (* 24 (/ 1 (* (pow a 3) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (* 36 (/ 1 (* a (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))))))) (+ (* 4 (/ 1 (* (pow a 3) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (+ (* 4 (/ 1 (* (pow a 4) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (+ (* 4 (/ 1 (* (pow a 2) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (* 8 (/ 1 (* (pow a 5) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 18 (/ 1 (* (pow a 2) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (+ (* 2 (/ 1 (* (pow a 6) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (+ (* 36 (/ 1 (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)))) (+ (* 24 (/ 1 (* (pow a 3) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (* 36 (/ 1 (* a (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))))))) (+ (* 4 (/ 1 (* (pow a 3) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (+ (* 4 (/ 1 (* (pow a 4) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (+ (* 4 (/ 1 (* (pow a 2) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (* 8 (/ 1 (* (pow a 5) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))))))) in a * [misc]taylor: Taking taylor expansion of (+ (* 18 (/ 1 (* (pow a 2) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (+ (* 2 (/ 1 (* (pow a 6) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (+ (* 36 (/ 1 (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)))) (+ (* 24 (/ 1 (* (pow a 3) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (* 36 (/ 1 (* a (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))))))) in a * [misc]taylor: Taking taylor expansion of (* 18 (/ 1 (* (pow a 2) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) in a * [misc]taylor: Taking taylor expansion of 18 in a * [misc]backup-simplify: Simplify 18 into 18 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 2) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 2) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (- 3 (/ 1 a)) 2) in a * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 a) 1) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (* (pow a 6) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (+ (* 36 (/ 1 (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)))) (+ (* 24 (/ 1 (* (pow a 3) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (* 36 (/ 1 (* a (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)))))))) in a * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* (pow a 6) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 6) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 6) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))) in a * [misc]taylor: Taking taylor expansion of (pow a 6) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (- 3 (/ 1 a)) 2) in a * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 a) 1) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 36 (/ 1 (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)))) (+ (* 24 (/ 1 (* (pow a 3) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (* 36 (/ 1 (* a (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))))) in a * [misc]taylor: Taking taylor expansion of (* 36 (/ 1 (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)))) in a * [misc]taylor: Taking taylor expansion of 36 in a * [misc]backup-simplify: Simplify 36 into 36 * [misc]taylor: Taking taylor expansion of (/ 1 (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))) in a * [misc]taylor: Taking taylor expansion of (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)) in a * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 24 (/ 1 (* (pow a 3) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (* 36 (/ 1 (* a (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)))))) in a * [misc]taylor: Taking taylor expansion of (* 24 (/ 1 (* (pow a 3) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) in a * [misc]taylor: Taking taylor expansion of 24 in a * [misc]backup-simplify: Simplify 24 into 24 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 3) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 3) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))) in a * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (- 3 (/ 1 a)) 2) in a * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 a) 1) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 36 (/ 1 (* a (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) in a * [misc]taylor: Taking taylor expansion of 36 in a * [misc]backup-simplify: Simplify 36 into 36 * [misc]taylor: Taking taylor expansion of (/ 1 (* a (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)))) in a * [misc]taylor: Taking taylor expansion of (* a (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)) in a * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 0 -1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 3 0) into 3 * [misc]backup-simplify: Simplify (+ (* -1 1) (* 3 1)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 2) (* 1 -1)) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (* (pow a 3) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (+ (* 4 (/ 1 (* (pow a 4) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (+ (* 4 (/ 1 (* (pow a 2) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (* 8 (/ 1 (* (pow a 5) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2)))))))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* (pow a 3) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 3) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 3) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))) in a * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)) in a * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (* (pow a 4) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (+ (* 4 (/ 1 (* (pow a 2) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (* 8 (/ 1 (* (pow a 5) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* (pow a 4) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 4) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 4) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (- 3 (/ 1 a)) 2) in a * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 a) 1) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (* (pow a 2) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (* 8 (/ 1 (* (pow a 5) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2)))))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* (pow a 2) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 2) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 2) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)) in a * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 8 (/ 1 (* (pow a 5) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) in a * [misc]taylor: Taking taylor expansion of 8 in a * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 5) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 5) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))) in a * [misc]taylor: Taking taylor expansion of (pow a 5) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (- 3 (/ 1 a)) 2) in a * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 a) 1) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (/ 1 a) 1) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (/ 1 a) 1) 0) (* 0 (- 9 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (+ (* 9 (/ 1 a)) 9) (+ (/ 1 (pow a 2)) (/ 1 (pow a 3)))) 0) (* 0 4)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (/ 1 a) 1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 3 (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow a 2))) 0) (* 0 (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (- (+ (* 36 (/ 1 a)) (+ (* 2 (/ 1 (pow a 2))) 36)) (* 2 (/ 1 (pow a 4))))) (+ (* (- (* 2 (/ 1 (pow a 2)))) 0) (* 0 (- (+ (* 2 (/ 1 a)) 3) (/ 1 (pow a 2))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (/ 1 a) 1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 3 (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow a 2)))) 0) (* 0 (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))) (+ (* (/ (- (+ (* 2 (/ 1 a)) 3) (/ 1 (pow a 2))) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))) (/ 0 (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)))) (* 0 (/ (- (* 2 (/ 1 (pow a 4))) (+ (* 6 (/ 1 (pow a 2))) (* 4 (/ 1 (pow a 3))))) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)))) (* (- (+ (* 18 (/ 1 (* (pow a 2) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (+ (* 2 (/ 1 (* (pow a 6) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (+ (* 36 (/ 1 (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)))) (+ (* 24 (/ 1 (* (pow a 3) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (* 36 (/ 1 (* a (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))))))) (+ (* 4 (/ 1 (* (pow a 3) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (+ (* 4 (/ 1 (* (pow a 4) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (+ (* 4 (/ 1 (* (pow a 2) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (* 8 (/ 1 (* (pow a 5) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))))))) (/ 0 (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ 3 (- (/ 1 a))) into (- 3 (/ 1 a)) * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* (- 3 (/ 1 a)) (/ 1 (pow a 2))) into (/ (- 3 (/ 1 a)) (pow a 2)) * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 (pow a 2)))) into (- 1 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (* (/ (- 3 (/ 1 a)) (pow a 2)) (- 1 (/ 1 (pow a 2)))) into (/ (* (- 3 (/ 1 a)) (- 1 (/ 1 (pow a 2)))) (pow a 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (/ 1 a) 1) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (/ 1 a) 1) 0) (+ (* 0 0) (* 0 (- 9 (/ 1 (pow a 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (/ (* (- 3 (/ 1 a)) (- 1 (/ 1 (pow a 2)))) (pow a 2)) 0) into (- (+ (/ 1 (pow a 5)) (* 3 (/ 1 (pow a 2)))) (+ (/ 1 (pow a 3)) (* 3 (/ 1 (pow a 4))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 9 (/ 1 a)) 9) (+ (/ 1 (pow a 2)) (/ 1 (pow a 3)))) 0) (+ (* 0 0) (* (- (+ (/ 1 (pow a 5)) (* 3 (/ 1 (pow a 2)))) (+ (/ 1 (pow a 3)) (* 3 (/ 1 (pow a 4))))) 4))) into (- (+ (* 4 (/ 1 (pow a 5))) (* 12 (/ 1 (pow a 2)))) (+ (* 4 (/ 1 (pow a 3))) (* 12 (/ 1 (pow a 4))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (/ 1 a) 1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 3 (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) (/ 1 (pow a 2))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow a 4)) 0) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow a 4)) 0) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow a 2))) 0) (+ (* 0 0) (* (/ 1 (pow a 4)) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))))) into (- (+ (* 2 (/ 1 (pow a 5))) (* 3 (/ 1 (pow a 4)))) (/ 1 (pow a 6))) * [misc]backup-simplify: Simplify (+ (- (+ (* 4 (/ 1 (pow a 5))) (* 12 (/ 1 (pow a 2)))) (+ (* 4 (/ 1 (pow a 3))) (* 12 (/ 1 (pow a 4))))) (- (+ (* 2 (/ 1 (pow a 5))) (* 3 (/ 1 (pow a 4)))) (/ 1 (pow a 6)))) into (- (+ (* 6 (/ 1 (pow a 5))) (* 12 (/ 1 (pow a 2)))) (+ (* 4 (/ 1 (pow a 3))) (+ (* 9 (/ 1 (pow a 4))) (/ 1 (pow a 6))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) (/ 1 (pow a 2))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (- (/ 1 (pow a 4))) into (- (/ 1 (pow a 4))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow a 4)))) into (- (/ 1 (pow a 4))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (/ 1 (pow a 4))) 0) into (- (/ 1 (pow a 4))) * [misc]backup-simplify: Simplify (+ (* 1 (- (+ (* 6 (/ 1 (pow a 5))) (* 12 (/ 1 (pow a 2)))) (+ (* 4 (/ 1 (pow a 3))) (+ (* 9 (/ 1 (pow a 4))) (/ 1 (pow a 6)))))) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow a 2)))) (- (+ (* 36 (/ 1 a)) (+ (* 2 (/ 1 (pow a 2))) 36)) (* 2 (/ 1 (pow a 4))))) (+ (* 0 0) (* (- (/ 1 (pow a 4))) (- (+ (* 2 (/ 1 a)) 3) (/ 1 (pow a 2)))))))) into (- (+ (* 4 (/ 1 (pow a 5))) (* 4 (/ 1 (pow a 6)))) (+ (* 60 (/ 1 (pow a 2))) (+ (* 76 (/ 1 (pow a 3))) (* 16 (/ 1 (pow a 4)))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (/ 1 a) 1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 3 (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) (/ 1 (pow a 2))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow a 4)) 0) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (- (/ 1 (pow a 4))) into (- (/ 1 (pow a 4))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow a 4)))) into (- (/ 1 (pow a 4))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow a 2)))) 0) (+ (* 0 0) (* (- (/ 1 (pow a 4))) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))))) into (- (/ 1 (pow a 6)) (+ (* 3 (/ 1 (pow a 4))) (* 2 (/ 1 (pow a 5))))) * [misc]backup-simplify: Simplify (- (/ (- (+ (* 4 (/ 1 (pow a 5))) (* 4 (/ 1 (pow a 6)))) (+ (* 60 (/ 1 (pow a 2))) (+ (* 76 (/ 1 (pow a 3))) (* 16 (/ 1 (pow a 4)))))) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))) (+ (* (/ (- (+ (* 2 (/ 1 a)) 3) (/ 1 (pow a 2))) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))) (/ (- (/ 1 (pow a 6)) (+ (* 3 (/ 1 (pow a 4))) (* 2 (/ 1 (pow a 5))))) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)))) (* 0 (/ 0 (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)))) (* (- (+ (* 18 (/ 1 (* (pow a 2) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (+ (* 2 (/ 1 (* (pow a 6) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (+ (* 36 (/ 1 (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)))) (+ (* 24 (/ 1 (* (pow a 3) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (* 36 (/ 1 (* a (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))))))) (+ (* 4 (/ 1 (* (pow a 3) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (+ (* 4 (/ 1 (* (pow a 4) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (+ (* 4 (/ 1 (* (pow a 2) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (* 8 (/ 1 (* (pow a 5) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))))))) (/ (- (* 2 (/ 1 (pow a 4))) (+ (* 6 (/ 1 (pow a 2))) (* 4 (/ 1 (pow a 3))))) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)))) (* 0 (/ 0 (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)))))) into (- (+ (* 4 (/ 1 (* (pow a 7) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (+ (* 57 (/ 1 (* (pow a 4) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (+ (* 216 (/ 1 (* (pow a 2) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (+ (* 36 (/ 1 (* (pow a 6) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (+ (* 108 (/ 1 (* (pow a 4) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (+ (* 216 (/ 1 (* (pow a 5) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (+ (/ 1 (* (pow a 8) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2)))) (+ (* 4 (/ 1 (* (pow a 6) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (+ (* 24 (/ 1 (* (pow a 9) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (+ (* 4 (/ 1 (* (pow a 5) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (* 360 (/ 1 (* (pow a 3) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))))))))))))) (+ (* 76 (/ 1 (* (pow a 3) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (+ (* 12 (/ 1 (* (pow a 8) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (+ (* 60 (/ 1 (* (pow a 2) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (+ (* 16 (/ 1 (* (pow a 4) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (+ (* 100 (/ 1 (* (pow a 5) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (+ (* 10 (/ 1 (* (pow a 6) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (+ (* 112 (/ 1 (* (pow a 7) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (* 4 (/ 1 (* (pow a 10) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))))))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 4 (/ 1 (* (pow a 7) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (+ (* 57 (/ 1 (* (pow a 4) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (+ (* 216 (/ 1 (* (pow a 2) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (+ (* 36 (/ 1 (* (pow a 6) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (+ (* 108 (/ 1 (* (pow a 4) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (+ (* 216 (/ 1 (* (pow a 5) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (+ (/ 1 (* (pow a 8) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2)))) (+ (* 4 (/ 1 (* (pow a 6) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (+ (* 24 (/ 1 (* (pow a 9) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (+ (* 4 (/ 1 (* (pow a 5) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (* 360 (/ 1 (* (pow a 3) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))))))))))))) (+ (* 76 (/ 1 (* (pow a 3) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (+ (* 12 (/ 1 (* (pow a 8) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (+ (* 60 (/ 1 (* (pow a 2) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (+ (* 16 (/ 1 (* (pow a 4) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (+ (* 100 (/ 1 (* (pow a 5) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (+ (* 10 (/ 1 (* (pow a 6) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (+ (* 112 (/ 1 (* (pow a 7) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (* 4 (/ 1 (* (pow a 10) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))))))))))) in a * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (* (pow a 7) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (+ (* 57 (/ 1 (* (pow a 4) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (+ (* 216 (/ 1 (* (pow a 2) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (+ (* 36 (/ 1 (* (pow a 6) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (+ (* 108 (/ 1 (* (pow a 4) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (+ (* 216 (/ 1 (* (pow a 5) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (+ (/ 1 (* (pow a 8) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2)))) (+ (* 4 (/ 1 (* (pow a 6) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (+ (* 24 (/ 1 (* (pow a 9) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (+ (* 4 (/ 1 (* (pow a 5) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (* 360 (/ 1 (* (pow a 3) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))))))))))))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* (pow a 7) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 7) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 7) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))) in a * [misc]taylor: Taking taylor expansion of (pow a 7) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (- 3 (/ 1 a)) 2) in a * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 a) 1) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 57 (/ 1 (* (pow a 4) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (+ (* 216 (/ 1 (* (pow a 2) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (+ (* 36 (/ 1 (* (pow a 6) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (+ (* 108 (/ 1 (* (pow a 4) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (+ (* 216 (/ 1 (* (pow a 5) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (+ (/ 1 (* (pow a 8) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2)))) (+ (* 4 (/ 1 (* (pow a 6) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (+ (* 24 (/ 1 (* (pow a 9) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (+ (* 4 (/ 1 (* (pow a 5) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (* 360 (/ 1 (* (pow a 3) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2)))))))))))))) in a * [misc]taylor: Taking taylor expansion of (* 57 (/ 1 (* (pow a 4) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) in a * [misc]taylor: Taking taylor expansion of 57 in a * [misc]backup-simplify: Simplify 57 into 57 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 4) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 4) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (- 3 (/ 1 a)) 2) in a * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 a) 1) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 216 (/ 1 (* (pow a 2) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (+ (* 36 (/ 1 (* (pow a 6) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (+ (* 108 (/ 1 (* (pow a 4) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (+ (* 216 (/ 1 (* (pow a 5) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (+ (/ 1 (* (pow a 8) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2)))) (+ (* 4 (/ 1 (* (pow a 6) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (+ (* 24 (/ 1 (* (pow a 9) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (+ (* 4 (/ 1 (* (pow a 5) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (* 360 (/ 1 (* (pow a 3) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))))))))))) in a * [misc]taylor: Taking taylor expansion of (* 216 (/ 1 (* (pow a 2) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) in a * [misc]taylor: Taking taylor expansion of 216 in a * [misc]backup-simplify: Simplify 216 into 216 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 2) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 2) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (- 3 (/ 1 a)) 2) in a * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 a) 1) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 36 (/ 1 (* (pow a 6) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (+ (* 108 (/ 1 (* (pow a 4) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (+ (* 216 (/ 1 (* (pow a 5) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (+ (/ 1 (* (pow a 8) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2)))) (+ (* 4 (/ 1 (* (pow a 6) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (+ (* 24 (/ 1 (* (pow a 9) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (+ (* 4 (/ 1 (* (pow a 5) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (* 360 (/ 1 (* (pow a 3) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2)))))))))))) in a * [misc]taylor: Taking taylor expansion of (* 36 (/ 1 (* (pow a 6) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) in a * [misc]taylor: Taking taylor expansion of 36 in a * [misc]backup-simplify: Simplify 36 into 36 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 6) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 6) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))) in a * [misc]taylor: Taking taylor expansion of (pow a 6) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (- 3 (/ 1 a)) 3) in a * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 a) 1) 3) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 108 (/ 1 (* (pow a 4) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (+ (* 216 (/ 1 (* (pow a 5) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (+ (/ 1 (* (pow a 8) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2)))) (+ (* 4 (/ 1 (* (pow a 6) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (+ (* 24 (/ 1 (* (pow a 9) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (+ (* 4 (/ 1 (* (pow a 5) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (* 360 (/ 1 (* (pow a 3) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))))))))) in a * [misc]taylor: Taking taylor expansion of (* 108 (/ 1 (* (pow a 4) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) in a * [misc]taylor: Taking taylor expansion of 108 in a * [misc]backup-simplify: Simplify 108 into 108 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 4) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 4) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (- 3 (/ 1 a)) 3) in a * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 a) 1) 3) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 216 (/ 1 (* (pow a 5) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (+ (/ 1 (* (pow a 8) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2)))) (+ (* 4 (/ 1 (* (pow a 6) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (+ (* 24 (/ 1 (* (pow a 9) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (+ (* 4 (/ 1 (* (pow a 5) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (* 360 (/ 1 (* (pow a 3) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2)))))))))) in a * [misc]taylor: Taking taylor expansion of (* 216 (/ 1 (* (pow a 5) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) in a * [misc]taylor: Taking taylor expansion of 216 in a * [misc]backup-simplify: Simplify 216 into 216 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 5) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 5) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))) in a * [misc]taylor: Taking taylor expansion of (pow a 5) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (- 3 (/ 1 a)) 3) in a * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 a) 1) 3) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* (pow a 8) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2)))) (+ (* 4 (/ 1 (* (pow a 6) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (+ (* 24 (/ 1 (* (pow a 9) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (+ (* 4 (/ 1 (* (pow a 5) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (* 360 (/ 1 (* (pow a 3) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))))))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 8) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 8) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))) in a * [misc]taylor: Taking taylor expansion of (pow a 8) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (- 3 (/ 1 a)) 2) in a * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 a) 1) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (* (pow a 6) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (+ (* 24 (/ 1 (* (pow a 9) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (+ (* 4 (/ 1 (* (pow a 5) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (* 360 (/ 1 (* (pow a 3) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2)))))))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* (pow a 6) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 6) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 6) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))) in a * [misc]taylor: Taking taylor expansion of (pow a 6) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)) in a * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 24 (/ 1 (* (pow a 9) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (+ (* 4 (/ 1 (* (pow a 5) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (* 360 (/ 1 (* (pow a 3) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))))) in a * [misc]taylor: Taking taylor expansion of (* 24 (/ 1 (* (pow a 9) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) in a * [misc]taylor: Taking taylor expansion of 24 in a * [misc]backup-simplify: Simplify 24 into 24 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 9) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 9) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))) in a * [misc]taylor: Taking taylor expansion of (pow a 9) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (- 3 (/ 1 a)) 3) in a * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 a) 1) 3) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (* (pow a 5) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (* 360 (/ 1 (* (pow a 3) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2)))))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* (pow a 5) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 5) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 5) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))) in a * [misc]taylor: Taking taylor expansion of (pow a 5) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)) in a * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 360 (/ 1 (* (pow a 3) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) in a * [misc]taylor: Taking taylor expansion of 360 in a * [misc]backup-simplify: Simplify 360 into 360 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 3) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 3) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))) in a * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (- 3 (/ 1 a)) 2) in a * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 a) 1) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 76 (/ 1 (* (pow a 3) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (+ (* 12 (/ 1 (* (pow a 8) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (+ (* 60 (/ 1 (* (pow a 2) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (+ (* 16 (/ 1 (* (pow a 4) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (+ (* 100 (/ 1 (* (pow a 5) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (+ (* 10 (/ 1 (* (pow a 6) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (+ (* 112 (/ 1 (* (pow a 7) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (* 4 (/ 1 (* (pow a 10) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3)))))))))))) in a * [misc]taylor: Taking taylor expansion of (* 76 (/ 1 (* (pow a 3) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) in a * [misc]taylor: Taking taylor expansion of 76 in a * [misc]backup-simplify: Simplify 76 into 76 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 3) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 3) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))) in a * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)) in a * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 12 (/ 1 (* (pow a 8) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (+ (* 60 (/ 1 (* (pow a 2) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (+ (* 16 (/ 1 (* (pow a 4) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (+ (* 100 (/ 1 (* (pow a 5) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (+ (* 10 (/ 1 (* (pow a 6) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (+ (* 112 (/ 1 (* (pow a 7) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (* 4 (/ 1 (* (pow a 10) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))))))))) in a * [misc]taylor: Taking taylor expansion of (* 12 (/ 1 (* (pow a 8) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) in a * [misc]taylor: Taking taylor expansion of 12 in a * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 8) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 8) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))) in a * [misc]taylor: Taking taylor expansion of (pow a 8) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (- 3 (/ 1 a)) 3) in a * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 a) 1) 3) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 60 (/ 1 (* (pow a 2) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (+ (* 16 (/ 1 (* (pow a 4) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (+ (* 100 (/ 1 (* (pow a 5) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (+ (* 10 (/ 1 (* (pow a 6) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (+ (* 112 (/ 1 (* (pow a 7) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (* 4 (/ 1 (* (pow a 10) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3)))))))))) in a * [misc]taylor: Taking taylor expansion of (* 60 (/ 1 (* (pow a 2) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) in a * [misc]taylor: Taking taylor expansion of 60 in a * [misc]backup-simplify: Simplify 60 into 60 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 2) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 2) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)) in a * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 16 (/ 1 (* (pow a 4) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) (+ (* 100 (/ 1 (* (pow a 5) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (+ (* 10 (/ 1 (* (pow a 6) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (+ (* 112 (/ 1 (* (pow a 7) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (* 4 (/ 1 (* (pow a 10) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))))))) in a * [misc]taylor: Taking taylor expansion of (* 16 (/ 1 (* (pow a 4) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))))) in a * [misc]taylor: Taking taylor expansion of 16 in a * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 4) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 4) (* (- 3 (/ 1 a)) (+ (/ 1 a) 1))) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 3 (/ 1 a)) (+ (/ 1 a) 1)) in a * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 100 (/ 1 (* (pow a 5) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (+ (* 10 (/ 1 (* (pow a 6) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (+ (* 112 (/ 1 (* (pow a 7) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (* 4 (/ 1 (* (pow a 10) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3)))))))) in a * [misc]taylor: Taking taylor expansion of (* 100 (/ 1 (* (pow a 5) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) in a * [misc]taylor: Taking taylor expansion of 100 in a * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 5) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 5) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))) in a * [misc]taylor: Taking taylor expansion of (pow a 5) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (- 3 (/ 1 a)) 2) in a * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 a) 1) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 10 (/ 1 (* (pow a 6) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) (+ (* 112 (/ 1 (* (pow a 7) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (* 4 (/ 1 (* (pow a 10) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))))) in a * [misc]taylor: Taking taylor expansion of (* 10 (/ 1 (* (pow a 6) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))))) in a * [misc]taylor: Taking taylor expansion of 10 in a * [misc]backup-simplify: Simplify 10 into 10 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 6) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 6) (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2))) in a * [misc]taylor: Taking taylor expansion of (pow a 6) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (- 3 (/ 1 a)) 2) (pow (+ (/ 1 a) 1) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (- 3 (/ 1 a)) 2) in a * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 a) 1) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 112 (/ 1 (* (pow a 7) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) (* 4 (/ 1 (* (pow a 10) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3)))))) in a * [misc]taylor: Taking taylor expansion of (* 112 (/ 1 (* (pow a 7) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) in a * [misc]taylor: Taking taylor expansion of 112 in a * [misc]backup-simplify: Simplify 112 into 112 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 7) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 7) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))) in a * [misc]taylor: Taking taylor expansion of (pow a 7) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (- 3 (/ 1 a)) 3) in a * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 a) 1) 3) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* (pow a 10) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 10) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 10) (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3))) in a * [misc]taylor: Taking taylor expansion of (pow a 10) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (- 3 (/ 1 a)) 3) (pow (+ (/ 1 a) 1) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (- 3 (/ 1 a)) 3) in a * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 a) 1) 3) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 4 -1) into -4 * [misc]backup-simplify: Simplify (+ -4 0) into -4 * [misc]backup-simplify: Simplify (+ 1 -4) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 4 -1) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify (- -4) into 4 * [misc]backup-simplify: Simplify (+ -3 4) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 b))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2)) (* 1 (pow (* (/ 1 (/ 1 a)) 1) 4)))) into (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) * [misc]approximate: Taking taylor expansion of (/ (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- a))))) (+ (* (+ (* (* (- 3 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) (- 1 (* (/ 1 (- a)) (/ 1 (- a))))) (* (* (+ (/ 1 (- a)) 1) (* (/ 1 (- b)) (/ 1 (- b)))) (- 9 (* (/ 1 (- a)) (/ 1 (- a)))))) 4) (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- a))))) (* (+ (/ 1 (- a)) 1) (- 3 (/ 1 (- a))))))) (* (- (pow (/ 1 (- b)) 4) (+ (pow (/ 1 (- a)) 4) (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))))) (* (+ 1 (/ 1 (- a))) (- 3 (/ 1 (- a)))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- a))))) (+ (* (+ (* (* (- 3 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) (- 1 (* (/ 1 (- a)) (/ 1 (- a))))) (* (* (+ (/ 1 (- a)) 1) (* (/ 1 (- b)) (/ 1 (- b)))) (- 9 (* (/ 1 (- a)) (/ 1 (- a)))))) 4) (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- a))))) (* (+ (/ 1 (- a)) 1) (- 3 (/ 1 (- a))))))) (* (- (pow (/ 1 (- b)) 4) (+ (pow (/ 1 (- a)) 4) (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))))) (* (+ 1 (/ 1 (- a))) (- 3 (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- a))))) (+ (* (+ (* (* (- 3 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) (- 1 (* (/ 1 (- a)) (/ 1 (- a))))) (* (* (+ (/ 1 (- a)) 1) (* (/ 1 (- b)) (/ 1 (- b)))) (- 9 (* (/ 1 (- a)) (/ 1 (- a)))))) 4) (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- a))))) (* (+ (/ 1 (- a)) 1) (- 3 (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (+ (* (* (- 3 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) (- 1 (* (/ 1 (- a)) (/ 1 (- a))))) (* (* (+ (/ 1 (- a)) 1) (* (/ 1 (- b)) (/ 1 (- b)))) (- 9 (* (/ 1 (- a)) (/ 1 (- a)))))) 4) (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- a))))) (* (+ (/ 1 (- a)) 1) (- 3 (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (* (* (- 3 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) (- 1 (* (/ 1 (- a)) (/ 1 (- a))))) (* (* (+ (/ 1 (- a)) 1) (* (/ 1 (- b)) (/ 1 (- b)))) (- 9 (* (/ 1 (- a)) (/ 1 (- a)))))) 4) in a * [misc]taylor: Taking taylor expansion of (+ (* (* (- 3 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) (- 1 (* (/ 1 (- a)) (/ 1 (- a))))) (* (* (+ (/ 1 (- a)) 1) (* (/ 1 (- b)) (/ 1 (- b)))) (- 9 (* (/ 1 (- a)) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* (* (- 3 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) (- 1 (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (- 3 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (+ (/ 1 (- a)) 1) (* (/ 1 (- b)) (/ 1 (- b)))) (- 9 (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 1) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (- 9 (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 9 in a * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- a))))) (* (+ (/ 1 (- a)) 1) (- 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 1) (- 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 1) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (- (pow (/ 1 (- b)) 4) (+ (pow (/ 1 (- a)) 4) (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))))) (* (+ 1 (/ 1 (- a))) (- 3 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 (- b)) 4) (+ (pow (/ 1 (- a)) 4) (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- a)) 4) (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (+ 1 (/ 1 (- a))) (- 3 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- a))))) (+ (* (+ (* (* (- 3 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) (- 1 (* (/ 1 (- a)) (/ 1 (- a))))) (* (* (+ (/ 1 (- a)) 1) (* (/ 1 (- b)) (/ 1 (- b)))) (- 9 (* (/ 1 (- a)) (/ 1 (- a)))))) 4) (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- a))))) (* (+ (/ 1 (- a)) 1) (- 3 (/ 1 (- a))))))) (* (- (pow (/ 1 (- b)) 4) (+ (pow (/ 1 (- a)) 4) (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))))) (* (+ 1 (/ 1 (- a))) (- 3 (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- a))))) (+ (* (+ (* (* (- 3 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) (- 1 (* (/ 1 (- a)) (/ 1 (- a))))) (* (* (+ (/ 1 (- a)) 1) (* (/ 1 (- b)) (/ 1 (- b)))) (- 9 (* (/ 1 (- a)) (/ 1 (- a)))))) 4) (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- a))))) (* (+ (/ 1 (- a)) 1) (- 3 (/ 1 (- a))))))) in b * [misc]taylor: Taking taylor expansion of (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ (* (+ (* (* (- 3 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) (- 1 (* (/ 1 (- a)) (/ 1 (- a))))) (* (* (+ (/ 1 (- a)) 1) (* (/ 1 (- b)) (/ 1 (- b)))) (- 9 (* (/ 1 (- a)) (/ 1 (- a)))))) 4) (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- a))))) (* (+ (/ 1 (- a)) 1) (- 3 (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (* (- 3 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) (- 1 (* (/ 1 (- a)) (/ 1 (- a))))) (* (* (+ (/ 1 (- a)) 1) (* (/ 1 (- b)) (/ 1 (- b)))) (- 9 (* (/ 1 (- a)) (/ 1 (- a)))))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* (* (- 3 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) (- 1 (* (/ 1 (- a)) (/ 1 (- a))))) (* (* (+ (/ 1 (- a)) 1) (* (/ 1 (- b)) (/ 1 (- b)))) (- 9 (* (/ 1 (- a)) (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (* (* (- 3 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) (- 1 (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (- 3 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (* (+ (/ 1 (- a)) 1) (* (/ 1 (- b)) (/ 1 (- b)))) (- 9 (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 1) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 1) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 9 (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of 9 in b * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- a))))) (* (+ (/ 1 (- a)) 1) (- 3 (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 1) (- 3 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 1) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (- (pow (/ 1 (- b)) 4) (+ (pow (/ 1 (- a)) 4) (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))))) (* (+ 1 (/ 1 (- a))) (- 3 (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 (- b)) 4) (+ (pow (/ 1 (- a)) 4) (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- a)) 4) (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (+ 1 (/ 1 (- a))) (- 3 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (/ -1 a) 1) into (- 1 (/ 1 a)) * [misc]backup-simplify: Simplify (- (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 3 (/ 1 a)) into (+ (/ 1 a) 3) * [misc]backup-simplify: Simplify (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)) into (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)) * [misc]backup-simplify: Simplify (* 1 (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))) into (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)) * [misc]backup-simplify: Simplify (+ 0 (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))) into (- 3 (+ (* 2 (/ 1 a)) (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (* 1 (- 3 (+ (* 2 (/ 1 a)) (/ 1 (pow a 2))))) into (- 3 (+ (* 2 (/ 1 a)) (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 (/ -1 a)) into (- 1 (/ 1 a)) * [misc]backup-simplify: Simplify (- (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 3 (/ 1 a)) into (+ (/ 1 a) 3) * [misc]backup-simplify: Simplify (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)) into (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)) * [misc]backup-simplify: Simplify (* 1 (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))) into (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)) * [misc]backup-simplify: Simplify (/ (- 3 (+ (* 2 (/ 1 a)) (/ 1 (pow a 2)))) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))) into (/ (- 3 (+ (* 2 (/ 1 a)) (/ 1 (pow a 2)))) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))) * [misc]taylor: Taking taylor expansion of (/ (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- a))))) (+ (* (+ (* (* (- 3 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) (- 1 (* (/ 1 (- a)) (/ 1 (- a))))) (* (* (+ (/ 1 (- a)) 1) (* (/ 1 (- b)) (/ 1 (- b)))) (- 9 (* (/ 1 (- a)) (/ 1 (- a)))))) 4) (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- a))))) (* (+ (/ 1 (- a)) 1) (- 3 (/ 1 (- a))))))) (* (- (pow (/ 1 (- b)) 4) (+ (pow (/ 1 (- a)) 4) (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))))) (* (+ 1 (/ 1 (- a))) (- 3 (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (* (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- a))))) (+ (* (+ (* (* (- 3 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) (- 1 (* (/ 1 (- a)) (/ 1 (- a))))) (* (* (+ (/ 1 (- a)) 1) (* (/ 1 (- b)) (/ 1 (- b)))) (- 9 (* (/ 1 (- a)) (/ 1 (- a)))))) 4) (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- a))))) (* (+ (/ 1 (- a)) 1) (- 3 (/ 1 (- a))))))) in b * [misc]taylor: Taking taylor expansion of (- (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) (* (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 (- b)) 4) (pow (/ 1 (- a)) 4)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ (* (+ (* (* (- 3 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) (- 1 (* (/ 1 (- a)) (/ 1 (- a))))) (* (* (+ (/ 1 (- a)) 1) (* (/ 1 (- b)) (/ 1 (- b)))) (- 9 (* (/ 1 (- a)) (/ 1 (- a)))))) 4) (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- a))))) (* (+ (/ 1 (- a)) 1) (- 3 (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (* (* (- 3 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) (- 1 (* (/ 1 (- a)) (/ 1 (- a))))) (* (* (+ (/ 1 (- a)) 1) (* (/ 1 (- b)) (/ 1 (- b)))) (- 9 (* (/ 1 (- a)) (/ 1 (- a)))))) 4) in b * [misc]taylor: Taking taylor expansion of (+ (* (* (- 3 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) (- 1 (* (/ 1 (- a)) (/ 1 (- a))))) (* (* (+ (/ 1 (- a)) 1) (* (/ 1 (- b)) (/ 1 (- b)))) (- 9 (* (/ 1 (- a)) (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (* (* (- 3 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) (- 1 (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (- 3 (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (* (+ (/ 1 (- a)) 1) (* (/ 1 (- b)) (/ 1 (- b)))) (- 9 (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 1) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 1) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 9 (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of 9 in b * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- a))))) (* (+ (/ 1 (- a)) 1) (- 3 (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (+ (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) (* (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- a)) 4) (pow (/ 1 (- b)) 4)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) 1) (- 3 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) 1) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (- (pow (/ 1 (- b)) 4) (+ (pow (/ 1 (- a)) 4) (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))))) (* (+ 1 (/ 1 (- a))) (- 3 (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 (- b)) 4) (+ (pow (/ 1 (- a)) 4) (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- a)) 4) (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)))) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 4) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (+ 1 (/ 1 (- a))) (- 3 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- 3 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 3 in b * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (/ -1 a) 1) into (- 1 (/ 1 a)) * [misc]backup-simplify: Simplify (- (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 3 (/ 1 a)) into (+ (/ 1 a) 3) * [misc]backup-simplify: Simplify (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)) into (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)) * [misc]backup-simplify: Simplify (* 1 (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))) into (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)) * [misc]backup-simplify: Simplify (+ 0 (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))) into (- 3 (+ (* 2 (/ 1 a)) (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (* 1 (- 3 (+ (* 2 (/ 1 a)) (/ 1 (pow a 2))))) into (- 3 (+ (* 2 (/ 1 a)) (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 (/ -1 a)) into (- 1 (/ 1 a)) * [misc]backup-simplify: Simplify (- (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 3 (/ 1 a)) into (+ (/ 1 a) 3) * [misc]backup-simplify: Simplify (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)) into (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)) * [misc]backup-simplify: Simplify (* 1 (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))) into (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)) * [misc]backup-simplify: Simplify (/ (- 3 (+ (* 2 (/ 1 a)) (/ 1 (pow a 2)))) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))) into (/ (- 3 (+ (* 2 (/ 1 a)) (/ 1 (pow a 2)))) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))) * [misc]taylor: Taking taylor expansion of (/ (- 3 (+ (* 2 (/ 1 a)) (/ 1 (pow a 2)))) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))) in a * [misc]taylor: Taking taylor expansion of (- 3 (+ (* 2 (/ 1 a)) (/ 1 (pow a 2)))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 a)) (/ 1 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1 (/ 1 a)) 0) (* 0 (+ (/ 1 a) 3))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (- 3 (+ (* 2 (/ 1 a)) (/ 1 (pow a 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1 (/ 1 a)) 0) (* 0 (+ (/ 1 a) 3))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))) (+ (* (/ (- 3 (+ (* 2 (/ 1 a)) (/ 1 (pow a 2)))) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))) (/ 0 (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ -1 a) 1) into (- 1 (/ 1 a)) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (- 1 (/ 1 a)) 1) into (- 1 (/ 1 a)) * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ 9 (- (/ 1 (pow a 2)))) into (- 9 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (* (- 1 (/ 1 a)) (- 9 (/ 1 (pow a 2)))) into (* (- 1 (/ 1 a)) (- 9 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (+ 0 (* (- 1 (/ 1 a)) (- 9 (/ 1 (pow a 2))))) into (- (+ (/ 1 (pow a 3)) 9) (+ (* 9 (/ 1 a)) (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (* (- (+ (/ 1 (pow a 3)) 9) (+ (* 9 (/ 1 a)) (/ 1 (pow a 2)))) 4) into (* 4 (- (+ (/ 1 (pow a 3)) 9) (+ (* 9 (/ 1 a)) (/ 1 (pow a 2))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1 (/ 1 a)) 0) (+ (* 0 0) (* 0 (+ (/ 1 a) 3)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow a 2))) into (/ 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 2 (pow a 2))) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 2 (/ 1 (pow a 2))) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) into (- (* 6 (/ 1 (pow a 2))) (+ (* 4 (/ 1 (pow a 3))) (* 2 (/ 1 (pow a 4))))) * [misc]backup-simplify: Simplify (+ (* 4 (- (+ (/ 1 (pow a 3)) 9) (+ (* 9 (/ 1 a)) (/ 1 (pow a 2))))) (- (* 6 (/ 1 (pow a 2))) (+ (* 4 (/ 1 (pow a 3))) (* 2 (/ 1 (pow a 4)))))) into (- (+ (* 2 (/ 1 (pow a 2))) 36) (+ (* 36 (/ 1 a)) (* 2 (/ 1 (pow a 4))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow a 2))) into (/ 2 (pow a 2)) * [misc]backup-simplify: Simplify (- (/ 2 (pow a 2))) into (- (* 2 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 (pow a 2))))) into (- (* 2 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (+ (* 1 (- (+ (* 2 (/ 1 (pow a 2))) 36) (+ (* 36 (/ 1 a)) (* 2 (/ 1 (pow a 4)))))) (+ (* 0 0) (* (- (* 2 (/ 1 (pow a 2)))) (- 3 (+ (* 2 (/ 1 a)) (/ 1 (pow a 2))))))) into (- (+ (* 4 (/ 1 (pow a 3))) 36) (+ (* 36 (/ 1 a)) (* 4 (/ 1 (pow a 2))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1 (/ 1 a)) 0) (+ (* 0 0) (* 0 (+ (/ 1 a) 3)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) 1) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow a 2))) into (/ 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 2 (pow a 2))) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (pow a 2)))) into (- (* 2 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 (pow a 2))))) into (- (* 2 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (- (* 2 (/ 1 (pow a 2)))) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) into (- (+ (* 4 (/ 1 (pow a 3))) (* 2 (/ 1 (pow a 4)))) (* 6 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (- (/ (- (+ (* 4 (/ 1 (pow a 3))) 36) (+ (* 36 (/ 1 a)) (* 4 (/ 1 (pow a 2))))) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))) (+ (* (/ (- 3 (+ (* 2 (/ 1 a)) (/ 1 (pow a 2)))) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))) (/ (- (+ (* 4 (/ 1 (pow a 3))) (* 2 (/ 1 (pow a 4)))) (* 6 (/ 1 (pow a 2)))) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)))) (* 0 (/ 0 (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)))))) into (- (+ (* 18 (/ 1 (* (pow a 2) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 8 (/ 1 (* (pow a 5) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 2 (/ 1 (* (pow a 6) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 4 (/ 1 (* (pow a 3) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) (* 36 (/ 1 (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)))))))) (+ (* 36 (/ 1 (* a (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) (+ (* 4 (/ 1 (* (pow a 4) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 24 (/ 1 (* (pow a 3) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (* 4 (/ 1 (* (pow a 2) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 18 (/ 1 (* (pow a 2) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 8 (/ 1 (* (pow a 5) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 2 (/ 1 (* (pow a 6) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 4 (/ 1 (* (pow a 3) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) (* 36 (/ 1 (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)))))))) (+ (* 36 (/ 1 (* a (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) (+ (* 4 (/ 1 (* (pow a 4) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 24 (/ 1 (* (pow a 3) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (* 4 (/ 1 (* (pow a 2) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))))))) in a * [misc]taylor: Taking taylor expansion of (+ (* 18 (/ 1 (* (pow a 2) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 8 (/ 1 (* (pow a 5) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 2 (/ 1 (* (pow a 6) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 4 (/ 1 (* (pow a 3) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) (* 36 (/ 1 (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)))))))) in a * [misc]taylor: Taking taylor expansion of (* 18 (/ 1 (* (pow a 2) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) in a * [misc]taylor: Taking taylor expansion of 18 in a * [misc]backup-simplify: Simplify 18 into 18 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 2) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 2) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (- 1 (/ 1 a)) 2) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 a) 3) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 8 (/ 1 (* (pow a 5) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 2 (/ 1 (* (pow a 6) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 4 (/ 1 (* (pow a 3) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) (* 36 (/ 1 (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))))) in a * [misc]taylor: Taking taylor expansion of (* 8 (/ 1 (* (pow a 5) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) in a * [misc]taylor: Taking taylor expansion of 8 in a * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 5) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 5) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))) in a * [misc]taylor: Taking taylor expansion of (pow a 5) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (- 1 (/ 1 a)) 2) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 a) 3) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (* (pow a 6) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 4 (/ 1 (* (pow a 3) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) (* 36 (/ 1 (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)))))) in a * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* (pow a 6) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 6) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 6) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))) in a * [misc]taylor: Taking taylor expansion of (pow a 6) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (- 1 (/ 1 a)) 2) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 a) 3) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (* (pow a 3) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) (* 36 (/ 1 (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* (pow a 3) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 3) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 3) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))) in a * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 36 (/ 1 (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)))) in a * [misc]taylor: Taking taylor expansion of 36 in a * [misc]backup-simplify: Simplify 36 into 36 * [misc]taylor: Taking taylor expansion of (/ 1 (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))) in a * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 36 (/ 1 (* a (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) (+ (* 4 (/ 1 (* (pow a 4) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 24 (/ 1 (* (pow a 3) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (* 4 (/ 1 (* (pow a 2) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)))))))) in a * [misc]taylor: Taking taylor expansion of (* 36 (/ 1 (* a (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) in a * [misc]taylor: Taking taylor expansion of 36 in a * [misc]backup-simplify: Simplify 36 into 36 * [misc]taylor: Taking taylor expansion of (/ 1 (* a (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)))) in a * [misc]taylor: Taking taylor expansion of (* a (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 0 -1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 3) into 3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -1 3) (* 1 1)) into -2 * [misc]backup-simplify: Simplify (+ (* 0 -2) (* 1 -1)) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (* (pow a 4) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 24 (/ 1 (* (pow a 3) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (* 4 (/ 1 (* (pow a 2) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* (pow a 4) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 4) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 4) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (- 1 (/ 1 a)) 2) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 a) 3) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 24 (/ 1 (* (pow a 3) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (* 4 (/ 1 (* (pow a 2) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)))))) in a * [misc]taylor: Taking taylor expansion of (* 24 (/ 1 (* (pow a 3) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) in a * [misc]taylor: Taking taylor expansion of 24 in a * [misc]backup-simplify: Simplify 24 into 24 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 3) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 3) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))) in a * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (- 1 (/ 1 a)) 2) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 a) 3) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* (pow a 2) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 2) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 2) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1 (/ 1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1 (/ 1 a)) 0) (* 0 (- 9 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (+ (/ 1 (pow a 3)) 9) (+ (* 9 (/ 1 a)) (/ 1 (pow a 2)))) 0) (* 0 4)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1 (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 a) 3))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow a 2))) 0) (* 0 (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (- (+ (* 2 (/ 1 (pow a 2))) 36) (+ (* 36 (/ 1 a)) (* 2 (/ 1 (pow a 4)))))) (+ (* (- (* 2 (/ 1 (pow a 2)))) 0) (* 0 (- 3 (+ (* 2 (/ 1 a)) (/ 1 (pow a 2)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1 (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 a) 3))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow a 2)))) 0) (* 0 (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))) (+ (* (/ (- 3 (+ (* 2 (/ 1 a)) (/ 1 (pow a 2)))) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))) (/ 0 (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)))) (* 0 (/ (- (+ (* 4 (/ 1 (pow a 3))) (* 2 (/ 1 (pow a 4)))) (* 6 (/ 1 (pow a 2)))) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)))) (* (- (+ (* 18 (/ 1 (* (pow a 2) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 8 (/ 1 (* (pow a 5) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 2 (/ 1 (* (pow a 6) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 4 (/ 1 (* (pow a 3) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) (* 36 (/ 1 (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)))))))) (+ (* 36 (/ 1 (* a (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) (+ (* 4 (/ 1 (* (pow a 4) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 24 (/ 1 (* (pow a 3) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (* 4 (/ 1 (* (pow a 2) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))))))) (/ 0 (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 3 (/ 1 a)) into (+ (/ 1 a) 3) * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* (+ (/ 1 a) 3) (/ 1 (pow a 2))) into (/ (+ (/ 1 a) 3) (pow a 2)) * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 (pow a 2)))) into (- 1 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (* (/ (+ (/ 1 a) 3) (pow a 2)) (- 1 (/ 1 (pow a 2)))) into (/ (* (+ (/ 1 a) 3) (- 1 (/ 1 (pow a 2)))) (pow a 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1 (/ 1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1 (/ 1 a)) 0) (+ (* 0 0) (* 0 (- 9 (/ 1 (pow a 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (/ (* (+ (/ 1 a) 3) (- 1 (/ 1 (pow a 2)))) (pow a 2)) 0) into (- (+ (* 3 (/ 1 (pow a 2))) (/ 1 (pow a 3))) (+ (/ 1 (pow a 5)) (* 3 (/ 1 (pow a 4))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (/ 1 (pow a 3)) 9) (+ (* 9 (/ 1 a)) (/ 1 (pow a 2)))) 0) (+ (* 0 0) (* (- (+ (* 3 (/ 1 (pow a 2))) (/ 1 (pow a 3))) (+ (/ 1 (pow a 5)) (* 3 (/ 1 (pow a 4))))) 4))) into (- (+ (* 12 (/ 1 (pow a 2))) (* 4 (/ 1 (pow a 3)))) (+ (* 4 (/ 1 (pow a 5))) (* 12 (/ 1 (pow a 4))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1 (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 a) 3)))))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) (/ 1 (pow a 2))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow a 4)) 0) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow a 4)) 0) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 2 (/ 1 (pow a 2))) 0) (+ (* 0 0) (* (/ 1 (pow a 4)) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))))) into (- (* 3 (/ 1 (pow a 4))) (+ (* 2 (/ 1 (pow a 5))) (/ 1 (pow a 6)))) * [misc]backup-simplify: Simplify (+ (- (+ (* 12 (/ 1 (pow a 2))) (* 4 (/ 1 (pow a 3)))) (+ (* 4 (/ 1 (pow a 5))) (* 12 (/ 1 (pow a 4))))) (- (* 3 (/ 1 (pow a 4))) (+ (* 2 (/ 1 (pow a 5))) (/ 1 (pow a 6))))) into (- (+ (* 12 (/ 1 (pow a 2))) (* 4 (/ 1 (pow a 3)))) (+ (* 6 (/ 1 (pow a 5))) (+ (* 9 (/ 1 (pow a 4))) (/ 1 (pow a 6))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) (/ 1 (pow a 2))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (- (/ 1 (pow a 4))) into (- (/ 1 (pow a 4))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow a 4)))) into (- (/ 1 (pow a 4))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (/ 1 (pow a 4))) 0) into (- (/ 1 (pow a 4))) * [misc]backup-simplify: Simplify (+ (* 1 (- (+ (* 12 (/ 1 (pow a 2))) (* 4 (/ 1 (pow a 3)))) (+ (* 6 (/ 1 (pow a 5))) (+ (* 9 (/ 1 (pow a 4))) (/ 1 (pow a 6)))))) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow a 2)))) (- (+ (* 2 (/ 1 (pow a 2))) 36) (+ (* 36 (/ 1 a)) (* 2 (/ 1 (pow a 4)))))) (+ (* 0 0) (* (- (/ 1 (pow a 4))) (- 3 (+ (* 2 (/ 1 a)) (/ 1 (pow a 2))))))))) into (- (+ (* 76 (/ 1 (pow a 3))) (* 4 (/ 1 (pow a 6)))) (+ (* 4 (/ 1 (pow a 5))) (+ (* 60 (/ 1 (pow a 2))) (* 16 (/ 1 (pow a 4)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1 (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 a) 3)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) (/ 1 (pow a 2))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow a 4)) 0) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (- (/ 1 (pow a 4))) into (- (/ 1 (pow a 4))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow a 4)))) into (- (/ 1 (pow a 4))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (* 2 (/ 1 (pow a 2)))) 0) (+ (* 0 0) (* (- (/ 1 (pow a 4))) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))))) into (- (+ (* 2 (/ 1 (pow a 5))) (/ 1 (pow a 6))) (* 3 (/ 1 (pow a 4)))) * [misc]backup-simplify: Simplify (- (/ (- (+ (* 76 (/ 1 (pow a 3))) (* 4 (/ 1 (pow a 6)))) (+ (* 4 (/ 1 (pow a 5))) (+ (* 60 (/ 1 (pow a 2))) (* 16 (/ 1 (pow a 4)))))) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))) (+ (* (/ (- 3 (+ (* 2 (/ 1 a)) (/ 1 (pow a 2)))) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))) (/ (- (+ (* 2 (/ 1 (pow a 5))) (/ 1 (pow a 6))) (* 3 (/ 1 (pow a 4)))) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)))) (* 0 (/ 0 (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)))) (* (- (+ (* 18 (/ 1 (* (pow a 2) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 8 (/ 1 (* (pow a 5) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 2 (/ 1 (* (pow a 6) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 4 (/ 1 (* (pow a 3) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) (* 36 (/ 1 (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)))))))) (+ (* 36 (/ 1 (* a (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) (+ (* 4 (/ 1 (* (pow a 4) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 24 (/ 1 (* (pow a 3) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (* 4 (/ 1 (* (pow a 2) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))))))) (/ (- (+ (* 4 (/ 1 (pow a 3))) (* 2 (/ 1 (pow a 4)))) (* 6 (/ 1 (pow a 2)))) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)))) (* 0 (/ 0 (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)))))) into (- (+ (* 112 (/ 1 (* (pow a 7) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))) (+ (* 36 (/ 1 (* (pow a 6) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))) (+ (* 57 (/ 1 (* (pow a 4) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 108 (/ 1 (* (pow a 4) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))) (+ (/ 1 (* (pow a 8) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2)))) (+ (* 4 (/ 1 (* (pow a 6) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) (+ (* 100 (/ 1 (* (pow a 5) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 216 (/ 1 (* (pow a 2) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (* 76 (/ 1 (* (pow a 3) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))))))))))) (+ (* 12 (/ 1 (* (pow a 8) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))) (+ (* 4 (/ 1 (* (pow a 7) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 16 (/ 1 (* (pow a 4) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) (+ (* 360 (/ 1 (* (pow a 3) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 4 (/ 1 (* (pow a 10) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))) (+ (* 4 (/ 1 (* (pow a 5) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) (+ (* 10 (/ 1 (* (pow a 6) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 60 (/ 1 (* (pow a 2) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) (+ (* 216 (/ 1 (* (pow a 5) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))) (* 24 (/ 1 (* (pow a 9) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))))))))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 112 (/ 1 (* (pow a 7) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))) (+ (* 36 (/ 1 (* (pow a 6) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))) (+ (* 57 (/ 1 (* (pow a 4) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 108 (/ 1 (* (pow a 4) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))) (+ (/ 1 (* (pow a 8) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2)))) (+ (* 4 (/ 1 (* (pow a 6) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) (+ (* 100 (/ 1 (* (pow a 5) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 216 (/ 1 (* (pow a 2) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (* 76 (/ 1 (* (pow a 3) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))))))))))) (+ (* 12 (/ 1 (* (pow a 8) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))) (+ (* 4 (/ 1 (* (pow a 7) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 16 (/ 1 (* (pow a 4) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) (+ (* 360 (/ 1 (* (pow a 3) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 4 (/ 1 (* (pow a 10) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))) (+ (* 4 (/ 1 (* (pow a 5) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) (+ (* 10 (/ 1 (* (pow a 6) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 60 (/ 1 (* (pow a 2) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) (+ (* 216 (/ 1 (* (pow a 5) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))) (* 24 (/ 1 (* (pow a 9) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))))))))))))) in a * [misc]taylor: Taking taylor expansion of (+ (* 112 (/ 1 (* (pow a 7) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))) (+ (* 36 (/ 1 (* (pow a 6) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))) (+ (* 57 (/ 1 (* (pow a 4) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 108 (/ 1 (* (pow a 4) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))) (+ (/ 1 (* (pow a 8) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2)))) (+ (* 4 (/ 1 (* (pow a 6) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) (+ (* 100 (/ 1 (* (pow a 5) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 216 (/ 1 (* (pow a 2) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (* 76 (/ 1 (* (pow a 3) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))))))))))) in a * [misc]taylor: Taking taylor expansion of (* 112 (/ 1 (* (pow a 7) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))) in a * [misc]taylor: Taking taylor expansion of 112 in a * [misc]backup-simplify: Simplify 112 into 112 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 7) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 7) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))) in a * [misc]taylor: Taking taylor expansion of (pow a 7) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (- 1 (/ 1 a)) 3) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 a) 3) 3) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 36 (/ 1 (* (pow a 6) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))) (+ (* 57 (/ 1 (* (pow a 4) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 108 (/ 1 (* (pow a 4) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))) (+ (/ 1 (* (pow a 8) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2)))) (+ (* 4 (/ 1 (* (pow a 6) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) (+ (* 100 (/ 1 (* (pow a 5) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 216 (/ 1 (* (pow a 2) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (* 76 (/ 1 (* (pow a 3) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)))))))))))) in a * [misc]taylor: Taking taylor expansion of (* 36 (/ 1 (* (pow a 6) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))) in a * [misc]taylor: Taking taylor expansion of 36 in a * [misc]backup-simplify: Simplify 36 into 36 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 6) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 6) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))) in a * [misc]taylor: Taking taylor expansion of (pow a 6) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (- 1 (/ 1 a)) 3) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 a) 3) 3) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 57 (/ 1 (* (pow a 4) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 108 (/ 1 (* (pow a 4) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))) (+ (/ 1 (* (pow a 8) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2)))) (+ (* 4 (/ 1 (* (pow a 6) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) (+ (* 100 (/ 1 (* (pow a 5) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 216 (/ 1 (* (pow a 2) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (* 76 (/ 1 (* (pow a 3) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))))))))) in a * [misc]taylor: Taking taylor expansion of (* 57 (/ 1 (* (pow a 4) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) in a * [misc]taylor: Taking taylor expansion of 57 in a * [misc]backup-simplify: Simplify 57 into 57 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 4) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 4) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (- 1 (/ 1 a)) 2) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 a) 3) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 108 (/ 1 (* (pow a 4) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))) (+ (/ 1 (* (pow a 8) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2)))) (+ (* 4 (/ 1 (* (pow a 6) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) (+ (* 100 (/ 1 (* (pow a 5) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 216 (/ 1 (* (pow a 2) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (* 76 (/ 1 (* (pow a 3) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)))))))))) in a * [misc]taylor: Taking taylor expansion of (* 108 (/ 1 (* (pow a 4) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))) in a * [misc]taylor: Taking taylor expansion of 108 in a * [misc]backup-simplify: Simplify 108 into 108 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 4) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 4) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (- 1 (/ 1 a)) 3) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 a) 3) 3) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* (pow a 8) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2)))) (+ (* 4 (/ 1 (* (pow a 6) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) (+ (* 100 (/ 1 (* (pow a 5) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 216 (/ 1 (* (pow a 2) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (* 76 (/ 1 (* (pow a 3) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))))))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 8) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 8) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))) in a * [misc]taylor: Taking taylor expansion of (pow a 8) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (- 1 (/ 1 a)) 2) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 a) 3) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (* (pow a 6) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) (+ (* 100 (/ 1 (* (pow a 5) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 216 (/ 1 (* (pow a 2) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (* 76 (/ 1 (* (pow a 3) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)))))))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* (pow a 6) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 6) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 6) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))) in a * [misc]taylor: Taking taylor expansion of (pow a 6) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 100 (/ 1 (* (pow a 5) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 216 (/ 1 (* (pow a 2) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (* 76 (/ 1 (* (pow a 3) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))))) in a * [misc]taylor: Taking taylor expansion of (* 100 (/ 1 (* (pow a 5) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) in a * [misc]taylor: Taking taylor expansion of 100 in a * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 5) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 5) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))) in a * [misc]taylor: Taking taylor expansion of (pow a 5) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (- 1 (/ 1 a)) 2) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 a) 3) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 216 (/ 1 (* (pow a 2) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (* 76 (/ 1 (* (pow a 3) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)))))) in a * [misc]taylor: Taking taylor expansion of (* 216 (/ 1 (* (pow a 2) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) in a * [misc]taylor: Taking taylor expansion of 216 in a * [misc]backup-simplify: Simplify 216 into 216 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 2) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 2) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (- 1 (/ 1 a)) 2) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 a) 3) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 76 (/ 1 (* (pow a 3) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) in a * [misc]taylor: Taking taylor expansion of 76 in a * [misc]backup-simplify: Simplify 76 into 76 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 3) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 3) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))) in a * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 12 (/ 1 (* (pow a 8) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))) (+ (* 4 (/ 1 (* (pow a 7) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 16 (/ 1 (* (pow a 4) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) (+ (* 360 (/ 1 (* (pow a 3) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 4 (/ 1 (* (pow a 10) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))) (+ (* 4 (/ 1 (* (pow a 5) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) (+ (* 10 (/ 1 (* (pow a 6) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 60 (/ 1 (* (pow a 2) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) (+ (* 216 (/ 1 (* (pow a 5) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))) (* 24 (/ 1 (* (pow a 9) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3)))))))))))))) in a * [misc]taylor: Taking taylor expansion of (* 12 (/ 1 (* (pow a 8) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))) in a * [misc]taylor: Taking taylor expansion of 12 in a * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 8) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 8) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))) in a * [misc]taylor: Taking taylor expansion of (pow a 8) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (- 1 (/ 1 a)) 3) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 a) 3) 3) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (* (pow a 7) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 16 (/ 1 (* (pow a 4) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) (+ (* 360 (/ 1 (* (pow a 3) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 4 (/ 1 (* (pow a 10) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))) (+ (* 4 (/ 1 (* (pow a 5) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) (+ (* 10 (/ 1 (* (pow a 6) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 60 (/ 1 (* (pow a 2) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) (+ (* 216 (/ 1 (* (pow a 5) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))) (* 24 (/ 1 (* (pow a 9) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))))))))))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* (pow a 7) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 7) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 7) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))) in a * [misc]taylor: Taking taylor expansion of (pow a 7) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (- 1 (/ 1 a)) 2) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 a) 3) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 16 (/ 1 (* (pow a 4) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) (+ (* 360 (/ 1 (* (pow a 3) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 4 (/ 1 (* (pow a 10) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))) (+ (* 4 (/ 1 (* (pow a 5) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) (+ (* 10 (/ 1 (* (pow a 6) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 60 (/ 1 (* (pow a 2) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) (+ (* 216 (/ 1 (* (pow a 5) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))) (* 24 (/ 1 (* (pow a 9) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3)))))))))))) in a * [misc]taylor: Taking taylor expansion of (* 16 (/ 1 (* (pow a 4) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) in a * [misc]taylor: Taking taylor expansion of 16 in a * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 4) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 4) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 360 (/ 1 (* (pow a 3) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 4 (/ 1 (* (pow a 10) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))) (+ (* 4 (/ 1 (* (pow a 5) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) (+ (* 10 (/ 1 (* (pow a 6) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 60 (/ 1 (* (pow a 2) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) (+ (* 216 (/ 1 (* (pow a 5) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))) (* 24 (/ 1 (* (pow a 9) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))))))))) in a * [misc]taylor: Taking taylor expansion of (* 360 (/ 1 (* (pow a 3) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) in a * [misc]taylor: Taking taylor expansion of 360 in a * [misc]backup-simplify: Simplify 360 into 360 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 3) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 3) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))) in a * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (- 1 (/ 1 a)) 2) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 a) 3) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (* (pow a 10) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))) (+ (* 4 (/ 1 (* (pow a 5) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) (+ (* 10 (/ 1 (* (pow a 6) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 60 (/ 1 (* (pow a 2) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) (+ (* 216 (/ 1 (* (pow a 5) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))) (* 24 (/ 1 (* (pow a 9) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3)))))))))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* (pow a 10) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 10) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 10) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))) in a * [misc]taylor: Taking taylor expansion of (pow a 10) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (- 1 (/ 1 a)) 3) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 a) 3) 3) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (* (pow a 5) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) (+ (* 10 (/ 1 (* (pow a 6) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 60 (/ 1 (* (pow a 2) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) (+ (* 216 (/ 1 (* (pow a 5) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))) (* 24 (/ 1 (* (pow a 9) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))))))) in a * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* (pow a 5) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 5) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 5) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))) in a * [misc]taylor: Taking taylor expansion of (pow a 5) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 10 (/ 1 (* (pow a 6) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) (+ (* 60 (/ 1 (* (pow a 2) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) (+ (* 216 (/ 1 (* (pow a 5) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))) (* 24 (/ 1 (* (pow a 9) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3)))))))) in a * [misc]taylor: Taking taylor expansion of (* 10 (/ 1 (* (pow a 6) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))))) in a * [misc]taylor: Taking taylor expansion of 10 in a * [misc]backup-simplify: Simplify 10 into 10 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 6) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 6) (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2))) in a * [misc]taylor: Taking taylor expansion of (pow a 6) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (- 1 (/ 1 a)) 2) (pow (+ (/ 1 a) 3) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (- 1 (/ 1 a)) 2) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 a) 3) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 60 (/ 1 (* (pow a 2) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) (+ (* 216 (/ 1 (* (pow a 5) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))) (* 24 (/ 1 (* (pow a 9) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))))) in a * [misc]taylor: Taking taylor expansion of (* 60 (/ 1 (* (pow a 2) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))))) in a * [misc]taylor: Taking taylor expansion of 60 in a * [misc]backup-simplify: Simplify 60 into 60 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 2) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 2) (* (- 1 (/ 1 a)) (+ (/ 1 a) 3))) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 a)) (+ (/ 1 a) 3)) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* 216 (/ 1 (* (pow a 5) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))) (* 24 (/ 1 (* (pow a 9) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3)))))) in a * [misc]taylor: Taking taylor expansion of (* 216 (/ 1 (* (pow a 5) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))) in a * [misc]taylor: Taking taylor expansion of 216 in a * [misc]backup-simplify: Simplify 216 into 216 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 5) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 5) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))) in a * [misc]taylor: Taking taylor expansion of (pow a 5) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (- 1 (/ 1 a)) 3) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 a) 3) 3) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 24 (/ 1 (* (pow a 9) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))))) in a * [misc]taylor: Taking taylor expansion of 24 in a * [misc]backup-simplify: Simplify 24 into 24 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow a 9) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3)))) in a * [misc]taylor: Taking taylor expansion of (* (pow a 9) (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3))) in a * [misc]taylor: Taking taylor expansion of (pow a 9) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (- 1 (/ 1 a)) 3) (pow (+ (/ 1 a) 3) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (- 1 (/ 1 a)) 3) in a * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 a) 3) 3) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 4 -1) into -4 * [misc]backup-simplify: Simplify (+ -4 0) into -4 * [misc]backup-simplify: Simplify (+ 1 -4) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (* 4 -1) into -4 * [misc]backup-simplify: Simplify (+ -4 0) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify (- -4) into 4 * [misc]backup-simplify: Simplify (+ -3 4) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- b)))) 4)) (+ (* 2 (pow (* (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- a))) 1) 4)))) into (+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 2 2 1 2) * [misc]approximate: Taking taylor expansion of (* (* 2 (* b b)) (* a a)) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* 2 (* b b)) (* a a)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* b b)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 (* b b)) (* a a)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* b b)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (* 2 (* b b)) (* a a)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* b b)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* 0 (pow a 2)) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (pow a 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 2 1) (+ (* 0 0) (* 0 0))) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 2 (pow a 2)))) into (* 2 (pow a 2)) * [misc]taylor: Taking taylor expansion of (* 2 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 2 0) (* 0 (pow a 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (* 2 (* (/ 1 b) (/ 1 b))) (* (/ 1 a) (/ 1 a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* 2 (* (/ 1 b) (/ 1 b))) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 (* (/ 1 b) (/ 1 b))) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (* 2 (* (/ 1 b) (/ 1 b))) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow a 2))) into (/ 2 (pow a 2)) * [misc]taylor: Taking taylor expansion of (/ 2 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 2 (pow (* (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2)) into (* 2 (* (pow a 2) (pow b 2))) * [misc]approximate: Taking taylor expansion of (* (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow a 2))) into (/ 2 (pow a 2)) * [misc]taylor: Taking taylor expansion of (/ 2 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 2 (pow (* (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2)) into (* 2 (* (pow a 2) (pow b 2))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 2) * [misc]approximate: Taking taylor expansion of (* (* 2 (* b b)) (* a a)) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* 2 (* b b)) (* a a)) in a * [misc]taylor: Taking taylor expansion of (* 2 (* b b)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 (* b b)) (* a a)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* b b)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (* 2 (* b b)) (* a a)) in b * [misc]taylor: Taking taylor expansion of (* 2 (* b b)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* 0 (pow a 2)) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (pow a 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 2 1) (+ (* 0 0) (* 0 0))) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 2 (pow a 2)))) into (* 2 (pow a 2)) * [misc]taylor: Taking taylor expansion of (* 2 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 2 0) (* 0 (pow a 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (* 2 (* (/ 1 b) (/ 1 b))) (* (/ 1 a) (/ 1 a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* 2 (* (/ 1 b) (/ 1 b))) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 (* (/ 1 b) (/ 1 b))) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (* 2 (* (/ 1 b) (/ 1 b))) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow a 2))) into (/ 2 (pow a 2)) * [misc]taylor: Taking taylor expansion of (/ 2 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 2 (pow (* (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2)) into (* 2 (* (pow a 2) (pow b 2))) * [misc]approximate: Taking taylor expansion of (* (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow a 2))) into (/ 2 (pow a 2)) * [misc]taylor: Taking taylor expansion of (/ 2 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow a 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 2 (pow (* (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2)) into (* 2 (* (pow a 2) (pow b 2))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 1 2 2 2) * [misc]approximate: Taking taylor expansion of (* (pow a 2) (pow b 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (pow a 2) (pow b 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow b 2) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 1 (pow b 2)) into (pow b 2) * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow b 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* b a) 2)) into (* (pow a 2) (pow b 2)) * [misc]approximate: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 a) 2) (pow (/ 1 b) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a))) 2)) into (* (pow a 2) (pow b 2)) * [misc]approximate: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (pow b 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow b 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a)))) 2)) into (* (pow a 2) (pow b 2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 5267 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (log (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a)))))) (+ (log (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (+ (log (+ 1 a)) (log (- 3 a))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (342 enodes) * [exit]simplify: Simplified to (+ (log (+ (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (* (- 3 a) (+ 1 a))) (* 4 (+ (* (- 9 (* a a)) (* (+ 1 a) (* b b))) (* (* (- 3 a) (* a a)) (- 1 (* a a))))))) (- 0 (+ (log (- 3 a)) (log (+ 1 a))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (exp (+ (log (+ (* (+ (+ (pow b 4) (pow a 4)) (* b (* (* b 2) (* a a)))) (* (- 3 a) (+ 1 a))) (* 4 (+ (* (- 9 (* a a)) (* (+ 1 a) (* b b))) (* (* (- 3 a) (* a a)) (- 1 (* a a))))))) (- 0 (+ (log (- 3 a)) (log (+ 1 a)))))) 1)) * * * * [misc]progress: [ 3 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (log (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a)))))) (+ (log (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (log (* (+ 1 a) (- 3 a))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (331 enodes) * [exit]simplify: Simplified to (+ (- 0 (log (* (- 3 a) (+ 1 a)))) (log (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b (* a a)) (* b 2))) (* (- 3 a) (+ 1 a))) (* 4 (+ (* (- 9 (* a a)) (* (+ 1 a) (* b b))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (exp (+ (- 0 (log (* (- 3 a) (+ 1 a)))) (log (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b (* a a)) (* b 2))) (* (- 3 a) (+ 1 a))) (* 4 (+ (* (- 9 (* a a)) (* (+ 1 a) (* b b))) (* (* (- 3 a) (* a a)) (- 1 (* a a))))))))) 1)) * * * * [misc]progress: [ 4 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (log (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a)))))) (log (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (354 enodes) * [exit]simplify: Simplified to (+ (log (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- 3 a) (+ 1 a))) (* 4 (+ (* (- 9 (* a a)) (* (+ 1 a) (* b b))) (* (* (- 3 a) (* a a)) (- 1 (* a a))))))) (- (- (log (+ (* (* a a) (* -2 (* b b))) (- (pow b 4) (pow a 4)))) (log (+ (* (* a a) (* -2 (* b b))) (- (pow b 4) (pow a 4))))) (log (* (- 3 a) (+ 1 a))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (exp (+ (log (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)) (* (- 3 a) (+ 1 a))) (* 4 (+ (* (- 9 (* a a)) (* (+ 1 a) (* b b))) (* (* (- 3 a) (* a a)) (- 1 (* a a))))))) (- (- (log (+ (* (* a a) (* -2 (* b b))) (- (pow b 4) (pow a 4)))) (log (+ (* (* a a) (* -2 (* b b))) (- (pow b 4) (pow a 4))))) (log (* (- 3 a) (+ 1 a)))))) 1)) * * * * [misc]progress: [ 5 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a)))))) (+ (log (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (+ (log (+ 1 a)) (log (- 3 a))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * * [misc]simplify: iters left: 4 (414 enodes) * [exit]simplify: Simplified to (+ (log (+ (* 4 (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ 1 a))))) (* (* (+ 1 a) (- 3 a)) (+ (* (* (* b 2) (* a b)) a) (+ (pow b 4) (pow a 4)))))) (- (log (+ (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) -2)))) (+ (log (+ (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) -2)))) (+ (log (- 3 a)) (log (+ 1 a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (exp (+ (log (+ (* 4 (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ 1 a))))) (* (* (+ 1 a) (- 3 a)) (+ (* (* (* b 2) (* a b)) a) (+ (pow b 4) (pow a 4)))))) (- (log (+ (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) -2)))) (+ (log (+ (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) -2)))) (+ (log (- 3 a)) (log (+ 1 a))))))) 1)) * * * * [misc]progress: [ 6 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a)))))) (+ (log (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (log (* (+ 1 a) (- 3 a))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * * [misc]simplify: iters left: 4 (405 enodes) * [exit]simplify: Simplified to (+ (log (+ (* 4 (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ 1 a))))) (* (* (+ 1 a) (- 3 a)) (+ (* (* (* b 2) (* a b)) a) (+ (pow b 4) (pow a 4)))))) (- (log (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (+ (log (* (+ 1 a) (- 3 a))) (log (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (exp (+ (log (+ (* 4 (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ 1 a))))) (* (* (+ 1 a) (- 3 a)) (+ (* (* (* b 2) (* a b)) a) (+ (pow b 4) (pow a 4)))))) (- (log (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (+ (log (* (+ 1 a) (- 3 a))) (log (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))))))) 1)) * * * * [misc]progress: [ 7 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a)))))) (log (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (114 enodes) * * [misc]simplify: iters left: 4 (435 enodes) * [exit]simplify: Simplified to (+ (log (+ (* 4 (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ 1 a))))) (* (* (+ 1 a) (- 3 a)) (+ (* (* a (* b 2)) (* a b)) (+ (pow b 4) (pow a 4)))))) (- (log (+ (* -2 (* (* a a) (* b b))) (- (pow b 4) (pow a 4)))) (log (* (* (+ 1 a) (- 3 a)) (+ (* -2 (* (* a a) (* b b))) (- (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (exp (+ (log (+ (* 4 (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ 1 a))))) (* (* (+ 1 a) (- 3 a)) (+ (* (* a (* b 2)) (* a b)) (+ (pow b 4) (pow a 4)))))) (- (log (+ (* -2 (* (* a a) (* b b))) (- (pow b 4) (pow a 4)))) (log (* (* (+ 1 a) (- 3 a)) (+ (* -2 (* (* a a) (* b b))) (- (pow b 4) (pow a 4)))))))) 1)) * * * * [misc]progress: [ 8 / 5267 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 5267 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a)))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a)))))) (* (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (* (* (* (+ 1 a) (+ 1 a)) (+ 1 a)) (* (* (- 3 a) (- 3 a)) (- 3 a))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (156 enodes) * [exit]simplify: Simplified to (* (/ (* (+ (* 4 (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ a 1))))) (* (* (- 3 a) (+ a 1)) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))))) (+ (* 4 (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ a 1))))) (* (* (- 3 a) (+ a 1)) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))))) (/ (* (pow (- 3 a) 3) (pow (+ a 1) 3)) (+ (* 4 (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ a 1))))) (* (* (- 3 a) (+ a 1)) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))))))) (/ (pow (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) 3) (pow (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) 3))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (cbrt (* (/ (* (+ (* 4 (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ a 1))))) (* (* (- 3 a) (+ a 1)) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))))) (+ (* 4 (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ a 1))))) (* (* (- 3 a) (+ a 1)) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))))) (/ (* (pow (- 3 a) 3) (pow (+ a 1) 3)) (+ (* 4 (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ a 1))))) (* (* (- 3 a) (+ a 1)) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))))))) (/ (pow (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) 3) (pow (+ (- (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) 3)))) 1)) * * * * [misc]progress: [ 11 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a)))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a)))))) (* (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (* (* (* (+ 1 a) (- 3 a)) (* (+ 1 a) (- 3 a))) (* (+ 1 a) (- 3 a))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (143 enodes) * [exit]simplify: Simplified to (* (/ (pow (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) 3) (pow (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) 3)) (/ (* (+ (* 4 (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ a 1))))) (* (* (- 3 a) (+ a 1)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (+ (* 4 (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ a 1))))) (* (* (- 3 a) (+ a 1)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (/ (pow (* (- 3 a) (+ a 1)) 3) (+ (* 4 (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ a 1))))) (* (* (- 3 a) (+ a 1)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (cbrt (* (/ (pow (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) 3) (pow (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) -2)) 3)) (/ (* (+ (* 4 (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ a 1))))) (* (* (- 3 a) (+ a 1)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (+ (* 4 (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ a 1))))) (* (* (- 3 a) (+ a 1)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (/ (pow (* (- 3 a) (+ a 1)) 3) (+ (* 4 (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ a 1))))) (* (* (- 3 a) (+ a 1)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))))))) 1)) * * * * [misc]progress: [ 12 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a)))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a)))))) (* (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a)))) (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (135 enodes) * [exit]simplify: Simplified to (* (/ (pow (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) 3) (pow (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ a 1) (- 3 a))) 3)) (pow (+ (* 4 (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ a 1) (- 3 a)))) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (cbrt (* (/ (pow (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) 3) (pow (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ a 1) (- 3 a))) 3)) (pow (+ (* 4 (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ a 1) (- 3 a)))) 3))) 1)) * * * * [misc]progress: [ 13 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a)))))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a)))))) (* (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (* (* (* (+ 1 a) (+ 1 a)) (+ 1 a)) (* (* (- 3 a) (- 3 a)) (- 3 a))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (149 enodes) * [exit]simplify: Simplified to (/ (* (* (+ (* 4 (+ (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ 1 a))))) (* (* (+ 1 a) (- 3 a)) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (* (+ (* 4 (+ (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ 1 a))))) (* (* (+ 1 a) (- 3 a)) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))))) (* (/ (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (+ (* 4 (+ (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ 1 a))))) (* (* (+ 1 a) (- 3 a)) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))))) (/ (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (* (pow (- 3 a) 3) (pow (+ 1 a) 3))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (cbrt (/ (* (* (+ (* 4 (+ (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ 1 a))))) (* (* (+ 1 a) (- 3 a)) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (* (+ (* 4 (+ (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ 1 a))))) (* (* (+ 1 a) (- 3 a)) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))))) (* (/ (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (+ (* 4 (+ (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ 1 a))))) (* (* (+ 1 a) (- 3 a)) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))))) (/ (* (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) (* (pow (- 3 a) 3) (pow (+ 1 a) 3))) (+ (- (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))))))) 1)) * * * * [misc]progress: [ 14 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a)))))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a)))))) (* (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (* (* (* (+ 1 a) (- 3 a)) (* (+ 1 a) (- 3 a))) (* (+ 1 a) (- 3 a))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * [exit]simplify: Simplified to (/ (* (* (+ (* 4 (+ (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ 1 a))))) (* (* (+ 1 a) (- 3 a)) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (* (+ (* 4 (+ (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ 1 a))))) (* (* (+ 1 a) (- 3 a)) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))) (* (/ (* (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (* (* (+ 1 a) (- 3 a)) (* (+ 1 a) (- 3 a))))) (+ (* 4 (+ (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ 1 a))))) (* (* (+ 1 a) (- 3 a)) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))))) (/ (* (+ 1 a) (- 3 a)) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (cbrt (/ (* (* (+ (* 4 (+ (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ 1 a))))) (* (* (+ 1 a) (- 3 a)) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (* (+ (* 4 (+ (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ 1 a))))) (* (* (+ 1 a) (- 3 a)) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))) (* (/ (* (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (* (* (+ 1 a) (- 3 a)) (* (+ 1 a) (- 3 a))))) (+ (* 4 (+ (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ 1 a))))) (* (* (+ 1 a) (- 3 a)) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))))) (/ (* (+ 1 a) (- 3 a)) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))))) 1)) * * * * [misc]progress: [ 15 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a)))))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a)))))) (* (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a)))) (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * [exit]simplify: Simplified to (* (/ (+ (* 4 (+ (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ 1 a))))) (* (* (+ 1 a) (- 3 a)) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))))) (/ (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ 1 a) (- 3 a))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (* (/ (+ (* 4 (+ (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ 1 a))))) (* (* (+ 1 a) (- 3 a)) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))))) (/ (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ 1 a) (- 3 a))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (/ (+ (* 4 (+ (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ 1 a))))) (* (* (+ 1 a) (- 3 a)) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))))) (/ (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ 1 a) (- 3 a))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (cbrt (* (/ (+ (* 4 (+ (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ 1 a))))) (* (* (+ 1 a) (- 3 a)) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))))) (/ (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ 1 a) (- 3 a))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (* (/ (+ (* 4 (+ (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ 1 a))))) (* (* (+ 1 a) (- 3 a)) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))))) (/ (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ 1 a) (- 3 a))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (/ (+ (* 4 (+ (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ 1 a))))) (* (* (+ 1 a) (- 3 a)) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))))) (/ (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ 1 a) (- 3 a))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))))) 1)) * * * * [misc]progress: [ 16 / 5267 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 5267 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 5267 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 5267 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (338 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (* 1 (/ (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a)))) (* (+ 1 a) (- 3 a)))) 1)) * [enter]simplify: Simplifying (/ (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a)))) (* (+ 1 a) (- 3 a))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (/ (+ (* (+ (* (* (* b b) (+ a 1)) (- 9 (* a a))) (* (- 1 (* a a)) (* (- 3 a) (* a a)))) 4) (* (+ (+ (pow b 4) (pow a 4)) (* (* a (* 2 b)) (* a b))) (* (- 3 a) (+ a 1)))) (* (- 3 a) (+ a 1))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* 1 (/ (+ (* (+ (* (* (* b b) (+ a 1)) (- 9 (* a a))) (* (- 1 (* a a)) (* (- 3 a) (* a a)))) 4) (* (+ (+ (pow b 4) (pow a 4)) (* (* a (* 2 b)) (* a b))) (* (- 3 a) (+ a 1)))) (* (- 3 a) (+ a 1)))) 1)) * * * * [misc]progress: [ 21 / 5267 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 5267 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 5267 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 1 a) (- 3 a)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (* (- 3 a) (+ a 1)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (/ (/ (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))) (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (* (- 3 a) (+ a 1))) 1)) * * * * [misc]progress: [ 25 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (361 enodes) * [exit]simplify: Simplified to (- (- (pow b 4) (pow a 4)) (* (* (* a b) (* a b)) 2)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (- (- (pow b 4) (pow a 4)) (* (* (* a b) (* a b)) 2)) (/ (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a)))))) 1)) * * * * [misc]progress: [ 26 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (+ (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) (* (+ (* 1 1) (- (* a a) (* 1 a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (313 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (pow a 4))) (* (pow b 4) (pow b 4))) (* (- (* a a) (- a 1)) (+ (* a (+ a 3)) 9))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))) (* (- (pow (pow b 4) 3) (pow (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) 3)) (* (+ (pow 1 3) (pow a 3)) (- (pow 3 3) (pow a 3))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 a) a) (* b b))) (+ (* (* (* 2 a) a) (* b b)) (pow a 4))) (* (pow b 4) (pow b 4))) (* (- (* a a) (- a 1)) (+ (* a (+ a 3)) 9)))) 1)) * * * * [misc]progress: [ 27 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (+ (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) (* (+ (* 1 1) (- (* a a) (* 1 a))) (+ 3 a))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (253 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* a (* 2 a)) (* b b)) (pow a 4)) (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (pow b 4))) (* (+ a 3) (+ (* a a) (- 1 a)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))) (* (- (pow (pow b 4) 3) (pow (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) 3)) (* (+ (pow 1 3) (pow a 3)) (- (* 3 3) (* a a))))) (* (+ (* (+ (* (* a (* 2 a)) (* b b)) (pow a 4)) (+ (+ (pow a 4) (pow b 4)) (* (* a (* 2 a)) (* b b)))) (* (pow b 4) (pow b 4))) (* (+ a 3) (+ (* a a) (- 1 a))))) 1)) * * * * [misc]progress: [ 28 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (+ (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) (* (- 1 a) (+ (* 3 3) (+ (* a a) (* 3 a))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (282 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (* b b) (* 2 a)) a) (pow a 4)) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (- 1 a) (+ 9 (* (+ a 3) a)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))) (* (- (pow (pow b 4) 3) (pow (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) 3)) (* (- (* 1 1) (* a a)) (- (pow 3 3) (pow a 3))))) (* (+ (* (+ (* (* (* b b) (* 2 a)) a) (pow a 4)) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) (* (- 1 a) (+ 9 (* (+ a 3) a))))) 1)) * * * * [misc]progress: [ 29 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (+ (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) (* (- 1 a) (+ 3 a))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (pow a 4))) (* (pow b 4) (pow b 4))) (* (- 1 a) (+ a 3))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))) (* (- (pow (pow b 4) 3) (pow (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) 3)) (* (- (* 1 1) (* a a)) (- (* 3 3) (* a a))))) (* (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))) (+ (* (* (* b b) (* 2 a)) a) (pow a 4))) (* (pow b 4) (pow b 4))) (* (- 1 a) (+ a 3)))) 1)) * * * * [misc]progress: [ 30 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (+ (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) (+ (* 3 3) (+ (* a a) (* 3 a)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (* (* b b) (* (* 2 a) a)) (pow a 4))) (* (pow b 4) (pow b 4))) (+ (* a (+ a 3)) 9)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))) (* (- (pow (pow b 4) 3) (pow (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) 3)) (* (+ 1 a) (- (pow 3 3) (pow a 3))))) (* (+ (* (+ (+ (pow a 4) (pow b 4)) (* (* b b) (* (* 2 a) a))) (+ (* (* b b) (* (* 2 a) a)) (pow a 4))) (* (pow b 4) (pow b 4))) (+ (* a (+ a 3)) 9))) 1)) * * * * [misc]progress: [ 31 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (+ (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) (+ 3 a)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (* b b) (* 2 a)) a) (pow a 4)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))) (+ a 3)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))) (* (- (pow (pow b 4) 3) (pow (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) 3)) (* (+ 1 a) (- (* 3 3) (* a a))))) (* (+ (* (+ (* (* (* b b) (* 2 a)) a) (pow a 4)) (+ (+ (pow a 4) (pow b 4)) (* (* (* b b) (* 2 a)) a))) (* (pow b 4) (pow b 4))) (+ a 3))) 1)) * * * * [misc]progress: [ 32 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (+ (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) (+ (* 1 1) (- (* a a) (* 1 a)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (* b b) (* 2 a)) a) (pow a 4)) (+ (* (* (* b b) (* 2 a)) a) (pow a 4))) (* (pow b 4) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))) (+ (* a a) (- 1 a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))) (* (- (pow (pow b 4) 3) (pow (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) 3)) (* (+ (pow 1 3) (pow a 3)) (- 3 a)))) (* (+ (* (+ (* (* (* b b) (* 2 a)) a) (pow a 4)) (+ (* (* (* b b) (* 2 a)) a) (pow a 4))) (* (pow b 4) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4))))) (+ (* a a) (- 1 a)))) 1)) * * * * [misc]progress: [ 33 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow b 4) (pow b 4)) (+ (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) (- 1 a)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (* 2 b) b) (* a a)) (pow a 4)) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))) (* (pow b 4) (pow b 4))) (- 1 a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))) (* (- (pow (pow b 4) 3) (pow (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) 3)) (* (- (* 1 1) (* a a)) (- 3 a)))) (* (+ (* (+ (* (* (* 2 b) b) (* a a)) (pow a 4)) (+ (+ (pow a 4) (pow b 4)) (* (* (* 2 b) b) (* a a)))) (* (pow b 4) (pow b 4))) (- 1 a))) 1)) * * * * [misc]progress: [ 34 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ (* 1 1) (- (* a a) (* 1 a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (* (* (+ (* a a) (- 1 a)) (+ 9 (* (+ 3 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (* (+ (pow 1 3) (pow a 3)) (- (pow 3 3) (pow a 3))))) (* (* (+ (* a a) (- 1 a)) (+ 9 (* (+ 3 a) a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* a 2)) a)))) 1)) * * * * [misc]progress: [ 35 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ (* 1 1) (- (* a a) (* 1 a))) (+ 3 a))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * [exit]simplify: Simplified to (* (+ (* (* a (* a 2)) (* b b)) (+ (pow b 4) (pow a 4))) (* (- (* a a) (+ a -1)) (+ 3 a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (* (+ (pow 1 3) (pow a 3)) (- (* 3 3) (* a a))))) (* (+ (* (* a (* a 2)) (* b b)) (+ (pow b 4) (pow a 4))) (* (- (* a a) (+ a -1)) (+ 3 a)))) 1)) * * * * [misc]progress: [ 36 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (- 1 a) (+ (* 3 3) (+ (* a a) (* 3 a))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4))) (* (- 1 a) (+ (* a (+ 3 a)) 9))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (* (- (* 1 1) (* a a)) (- (pow 3 3) (pow a 3))))) (* (+ (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4))) (* (- 1 a) (+ (* a (+ 3 a)) 9)))) 1)) * * * * [misc]progress: [ 37 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (- 1 a) (+ 3 a))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4))) (* (- 1 a) (+ 3 a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (* (- (* 1 1) (* a a)) (- (* 3 3) (* a a))))) (* (+ (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4))) (* (- 1 a) (+ 3 a)))) 1)) * * * * [misc]progress: [ 38 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (+ (* 3 3) (+ (* a a) (* 3 a)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * [exit]simplify: Simplified to (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ 9 (* a (+ a 3)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (* (+ 1 a) (- (pow 3 3) (pow a 3))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ 9 (* a (+ a 3))))) 1)) * * * * [misc]progress: [ 39 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (+ 3 a)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * [exit]simplify: Simplified to (+ (* (* (* a b) (* a b)) (+ (* a 2) 6)) (* (+ (pow b 4) (pow a 4)) (+ a 3))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (* (+ 1 a) (- (* 3 3) (* a a))))) (+ (* (* (* a b) (* a b)) (+ (* a 2) 6)) (* (+ (pow b 4) (pow a 4)) (+ a 3)))) 1)) * * * * [misc]progress: [ 40 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (+ (* 1 1) (- (* a a) (* 1 a)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * [exit]simplify: Simplified to (* (+ (* b (* (* a 2) (* a b))) (+ (pow b 4) (pow a 4))) (- (* a a) (+ a -1))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (* (+ (pow 1 3) (pow a 3)) (- 3 a)))) (* (+ (* b (* (* a 2) (* a b))) (+ (pow b 4) (pow a 4))) (- (* a a) (+ a -1)))) 1)) * * * * [misc]progress: [ 41 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (- 1 a)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (225 enodes) * [exit]simplify: Simplified to (+ (* (* (* a b) (* a b)) (* 2 (- 1 a))) (* (- 1 a) (+ (pow b 4) (pow a 4)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (* (- (* 1 1) (* a a)) (- 3 a)))) (+ (* (* (* a b) (* a b)) (* 2 (- 1 a))) (* (- 1 a) (+ (pow b 4) (pow a 4))))) 1)) * * * * [misc]progress: [ 42 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* 1 1) (- (* a a) (* 1 a))) (+ (* 3 3) (+ (* a a) (* 3 a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (433 enodes) * [exit]simplify: Simplified to (* (+ (* a a) (- 1 a)) (+ (+ 9 (* a a)) (* a 3))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))) (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ (pow 1 3) (pow a 3)) (- (pow 3 3) (pow a 3))))) (* (+ (* a a) (- 1 a)) (+ (+ 9 (* a a)) (* a 3)))) 1)) * * * * [misc]progress: [ 43 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* 1 1) (- (* a a) (* 1 a))) (+ 3 a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * [exit]simplify: Simplified to (* (+ 3 a) (+ (* a a) (- 1 a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))) (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ (pow 1 3) (pow a 3)) (- (* 3 3) (* a a))))) (* (+ 3 a) (+ (* a a) (- 1 a)))) 1)) * * * * [misc]progress: [ 44 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- 1 a) (+ (* 3 3) (+ (* a a) (* 3 a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * [exit]simplify: Simplified to (* (- 1 a) (+ (* a (+ a 3)) 9)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))) (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (- (* 1 1) (* a a)) (- (pow 3 3) (pow a 3))))) (* (- 1 a) (+ (* a (+ a 3)) 9))) 1)) * * * * [misc]progress: [ 45 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- 1 a) (+ 3 a)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (* (+ a 3) (- 1 a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))) (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (- (* 1 1) (* a a)) (- (* 3 3) (* a a))))) (* (+ a 3) (- 1 a))) 1)) * * * * [misc]progress: [ 46 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 3 3) (+ (* a a) (* 3 a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (+ (* (+ 3 a) a) 9) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))) (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- (pow 3 3) (pow a 3))))) (+ (* (+ 3 a) a) 9)) 1)) * * * * [misc]progress: [ 47 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 3 a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ a 3) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))) (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- (* 3 3) (* a a))))) (+ a 3)) 1)) * * * * [misc]progress: [ 48 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (- (* a a) (* 1 a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (- (* a a) (- a 1)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))) (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ (pow 1 3) (pow a 3)) (- 3 a)))) (- (* a a) (- a 1))) 1)) * * * * [misc]progress: [ 49 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- 1 a) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))) (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (- (* 1 1) (* a a)) (- 3 a)))) (- 1 a)) 1)) * * * * [misc]progress: [ 50 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (pow b 4) (pow b 4)) (+ (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* b b) (* 2 a)) a) (pow a 4)) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))) (* (- (pow (pow b 4) 3) (pow (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) 3)) (* (+ 1 a) (- 3 a)))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (pow a 4)) (+ (* (* (* b b) (* 2 a)) a) (+ (pow a 4) (pow b 4)))) (* (pow b 4) (pow b 4)))) 1)) * * * * [misc]progress: [ 51 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (- (* (/ (* (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (+ (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))) (* (- (* (pow b 4) (pow b 4)) (* (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (* (+ 1 a) (- 3 a)))) (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* 2 (* a b))))) 1)) * * * * [misc]progress: [ 52 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (243 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9)) (+ (* (* a a) (+ (* a a) 9)) 81)) (+ (- 1 a) (* a a))) (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9))) (* (* (- 27 (pow a 3)) (* a a)) (* (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81)))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ (* a (+ a 3)) 9))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9)) (+ (* (* a a) (+ (* a a) 9)) 81)) (+ (- 1 a) (* a a))) (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9))) (* (* (- 27 (pow a 3)) (* a a)) (* (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81)))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ (* a (+ a 3)) 9))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 53 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (249 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ (- 1 a) (* a a)) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ a 3)) 9)))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ a 3)) 9))) (* (* (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a))) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (- 27 (pow a 3)) (* a a)))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ (- 1 a) (* a a)) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ a 3)) 9)))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ a 3)) 9))) (* (* (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a))) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (- 27 (pow a 3)) (* a a)))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a))))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 54 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (249 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ (* (+ a 3) a) 9) (+ (- 1 a) (* a a))))) (* (* (- (* a a) 1) (- 27 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* (+ a 3) a) 9))) (* (* (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81)) (* (- 27 (pow a 3)) (* a a)))) (* (* 4 (* (- a 1) (+ (* (+ a 3) a) 9))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ (* (+ a 3) a) 9) (+ (- 1 a) (* a a))))) (* (* (- (* a a) 1) (- 27 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* (+ a 3) a) 9))) (* (* (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81)) (* (- 27 (pow a 3)) (* a a)))) (* (* 4 (* (- a 1) (+ (* (+ a 3) a) 9))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 55 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (+ (- 1 a) (* a a)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9)))) (* (* (- 9 (* a a)) (- (* a a) 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9))) (* (* (- 27 (pow a 3)) (* a a)) (* (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81)))) (* (* 4 (* (+ a 3) (+ -1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (+ (- 1 a) (* a a)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9)))) (* (* (- 9 (* a a)) (- (* a a) 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9))) (* (* (- 27 (pow a 3)) (* a a)) (* (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81)))) (* (* 4 (* (+ a 3) (+ -1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 56 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (241 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ a 1) (- 27 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ a 3)) 9)) (+ (* (* a a) (+ 9 (* a a))) 81)) (+ (- 1 a) (* a a)))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ a 3)) 9))) (* (* (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ 9 (* a a))) 81)) (* (- 27 (pow a 3)) (* a a)))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ a 1) (- 27 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ a 3)) 9)) (+ (* (* a a) (+ 9 (* a a))) 81)) (+ (- 1 a) (* a a)))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ a 3)) 9))) (* (* (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ 9 (* a a))) 81)) (* (- 27 (pow a 3)) (* a a)))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 57 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (247 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 9 (* a a)) (+ a 1))) (* (+ (- 1 a) (* a a)) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9))) (* (+ (- 1 a) (* a a)) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a)))))) (* (* 4 (+ a 3)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 9 (* a a)) (+ a 1))) (* (+ (- 1 a) (* a a)) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9))) (* (+ (- 1 a) (* a a)) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a)))))) (* (* 4 (+ a 3)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a))))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 58 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (241 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ 1 (pow a 3)) (- 3 a)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (+ (- 1 a) (* a a)) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (+ (- 1 a) (* a a)) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a)))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ 1 (pow a 3)) (- 3 a)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (+ (- 1 a) (* a a)) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (+ (- 1 a) (* a a)) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a)))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 59 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (241 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 3 a) (+ (* a a) -1))) (* (+ (* a (+ a 3)) 9) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81)))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ a 3)) 9))) (* (+ (- 1 a) (* a a)) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a)))))) (* (* 4 (+ -1 a)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 3 a) (+ (* a a) -1))) (* (+ (* a (+ a 3)) 9) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81)))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ a 3)) 9))) (* (+ (- 1 a) (* a a)) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a)))))) (* (* 4 (+ -1 a)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 60 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (235 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9))) (* (+ (- 1 a) (* a a)) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a)))))) (* (* 4 (* (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (* (- 27 (pow a 3)) (+ 1 (pow a 3))))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (+ (- 1 a) (* a a)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9))) (* (+ (- 1 a) (* a a)) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a)))))) (* (* 4 (* (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (* (- 27 (pow a 3)) (+ 1 (pow a 3))))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (+ (- 1 a) (* a a)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 61 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (241 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ a 3)) 9))) (* (* (- 27 (pow a 3)) (* a a)) (* (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81)))) (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (- (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ a 3)) 9))) (* (* (* (+ (- 1 a) (* a a)) (+ 81 (* (* a a) (+ (* a a) 9)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))) (* (+ 1 (pow a 3)) (- 9 (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ a 3)) 9))) (* (* (- 27 (pow a 3)) (* a a)) (* (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81)))) (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (- (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ a 3)) 9))) (* (* (* (+ (- 1 a) (* a a)) (+ 81 (* (* a a) (+ (* a a) 9)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))) (* (+ 1 (pow a 3)) (- 9 (* a a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 62 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (242 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ a 3)) 9))) (* (* (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81)) (* (- 27 (pow a 3)) (* a a)))) (* (* (* (* (+ a -1) (+ 9 (* a (+ a 3)))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81)) (+ (* a (+ a 3)) 9))) (* (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (- (* a a) 1) (- 27 (pow a 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ a 3)) 9))) (* (* (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81)) (* (- 27 (pow a 3)) (* a a)))) (* (* (* (* (+ a -1) (+ 9 (* a (+ a 3)))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81)) (+ (* a (+ a 3)) 9))) (* (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (- (* a a) 1) (- 27 (pow a 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 63 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (247 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)) (* (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (+ (- 1 a) (* a a)) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ a 3)) 9)))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (- 9 (* a a)) (+ (* a a) -1))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ a 3)) 9))) (* (* (+ (- 1 a) (* a a)) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a)))) (+ (* (* a a) (+ (* a a) 9)) 81))) (* (* (* 4 (* (+ -1 a) (+ a 3))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)) (* (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (+ (- 1 a) (* a a)) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ a 3)) 9)))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (- 9 (* a a)) (+ (* a a) -1))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ a 3)) 9))) (* (* (+ (- 1 a) (* a a)) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a)))) (+ (* (* a a) (+ (* a a) 9)) 81))) (* (* (* 4 (* (+ -1 a) (+ a 3))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 64 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (233 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (+ (- 1 a) (* a a)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9)))) (* (* (- 27 (pow a 3)) (+ a 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9))) (* (* (- 1 (pow (* a a) 3)) (* (* (- 27 (pow a 3)) (* a a)) (+ (- 1 a) (* a a)))) (+ (* (* a a) (+ (* a a) 9)) 81))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (+ (- 1 a) (* a a)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9)))) (* (* (- 27 (pow a 3)) (+ a 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9))) (* (* (- 1 (pow (* a a) 3)) (* (* (- 27 (pow a 3)) (* a a)) (+ (- 1 a) (* a a)))) (+ (* (* a a) (+ (* a a) 9)) 81))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 65 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (239 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9))) (* (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81)) (+ (- 1 a) (* a a)))) (* (* (* 4 (+ a 3)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ a 1) (- 9 (* a a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a)))))) (* (* (+ (- 1 a) (* a a)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9))) (+ (* (* a a) (+ (* a a) 9)) 81))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9))) (* (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81)) (+ (- 1 a) (* a a)))) (* (* (* 4 (+ a 3)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ a 1) (- 9 (* a a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a)))))) (* (* (+ (- 1 a) (* a a)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9))) (+ (* (* a a) (+ (* a a) 9)) 81))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 66 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (233 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (- 3 a) (+ 1 (pow a 3))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ (* a (+ a 3)) 9) (+ (- 1 a) (* a a)))) (+ (* (* a a) (+ (* a a) 9)) 81))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9))) (* (* (- 1 (pow (* a a) 3)) (* (* (- 27 (pow a 3)) (* a a)) (+ (- 1 a) (* a a)))) (+ (* (* a a) (+ (* a a) 9)) 81))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (- 3 a) (+ 1 (pow a 3))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ (* a (+ a 3)) 9) (+ (- 1 a) (* a a)))) (+ (* (* a a) (+ (* a a) 9)) 81))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9))) (* (* (- 1 (pow (* a a) 3)) (* (* (- 27 (pow a 3)) (* a a)) (+ (- 1 a) (* a a)))) (+ (* (* a a) (+ (* a a) 9)) 81))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 67 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (234 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9))) (* (* (+ (- 1 a) (* a a)) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))))) (* (* (* 4 (+ a -1)) (- (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (* a a) -1) (- 3 a)) (* (- (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a))))) (* (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9))) (* (* (+ (- 1 a) (* a a)) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))))) (* (* (* 4 (+ a -1)) (- (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (* a a) -1) (- 3 a)) (* (- (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a))))) (* (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 68 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ a 3)) 9))) (* (* (* (- 27 (pow a 3)) (* a a)) (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a)))) (+ (* (* a a) (+ 9 (* a a))) 81))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (* (+ (* a (+ a 3)) 9) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ 9 (* a a))) 81))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ a 3)) 9))) (* (* (* (- 27 (pow a 3)) (* a a)) (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a)))) (+ (* (* a a) (+ 9 (* a a))) 81))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (* (+ (* a (+ a 3)) 9) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ 9 (* a a))) 81))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 69 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (220 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9)) (+ 81 (* (* a a) (+ (* a a) 9)))) (+ (- 1 a) (* a a))) (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (* (- 27 (pow a 3)) (* a a)) (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a)))))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9)) (+ 81 (* (* a a) (+ (* a a) 9)))) (+ (- 1 a) (* a a))) (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (* (- 27 (pow a 3)) (* a a)) (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a)))))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 70 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9))) (* (* (- 27 (pow a 3)) (* a a)) (* (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ 9 (* a a))) 81)))) (* (* (* 4 (+ -1 a)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (- 1 a) (* a a)) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9)) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))) (* (* (- 27 (pow a 3)) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9))) (* (* (- 27 (pow a 3)) (* a a)) (* (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ 9 (* a a))) 81)))) (* (* (* 4 (+ -1 a)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (- 1 a) (* a a)) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9)) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))) (* (* (- 27 (pow a 3)) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 71 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* a (+ a 3)) 9) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81))) (* (* (* (- 9 (* a a)) (- (* a a) 1)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ a 3)) 9))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (* (- 27 (pow a 3)) (* a a)) (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a)))))) (* (* (* 4 (+ a 3)) (+ -1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* a (+ a 3)) 9) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81))) (* (* (* (- 9 (* a a)) (- (* a a) 1)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ a 3)) 9))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (* (- 27 (pow a 3)) (* a a)) (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a)))))) (* (* (* 4 (+ a 3)) (+ -1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 72 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9))) (* (* (- 27 (pow a 3)) (* a a)) (* (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ 9 (* a a))) 81)))) (* (* (+ (* a (+ a 3)) 9) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9))) (* (* (* (- 27 (pow a 3)) (+ a 1)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a))) (* (+ (- 1 a) (* a a)) (+ 81 (* (* a a) (+ 9 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9))) (* (* (- 27 (pow a 3)) (* a a)) (* (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ 9 (* a a))) 81)))) (* (* (+ (* a (+ a 3)) 9) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9))) (* (* (* (- 27 (pow a 3)) (+ a 1)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a))) (* (+ (- 1 a) (* a a)) (+ 81 (* (* a a) (+ 9 (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 73 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ 3 a)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (218 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- 1 a) (* a a)) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ a 3)) 9)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (- 9 (* a a)) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ a 3)) 9))) (* (* (- 27 (pow a 3)) (* a a)) (* (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ 9 (* a a))) 81)))) (* (+ 12 (* 4 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- 1 a) (* a a)) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ a 3)) 9)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (- 9 (* a a)) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ a 3)) 9))) (* (* (- 27 (pow a 3)) (* a a)) (* (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ 9 (* a a))) 81)))) (* (+ 12 (* 4 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 74 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (213 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ a 3)) 9))) (* (* (- 27 (pow a 3)) (* a a)) (* (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ 9 (* a a))) 81)))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (- 1 a) (* a a)) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ a 3)) 9)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)))) (* (* (- 3 a) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ a 3)) 9))) (* (* (- 27 (pow a 3)) (* a a)) (* (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ 9 (* a a))) 81)))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (- 1 a) (* a a)) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ a 3)) 9)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)))) (* (* (- 3 a) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 75 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- a 1)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- 1 a) (* a a)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (+ a 3) a) 9))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (* (* (- 3 a) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (+ a 3) a) 9))) (* (* (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81)) (* (- 27 (pow a 3)) (* a a)))) (* (+ (* a 4) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- 1 a) (* a a)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (+ a 3) a) 9))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (* (* (- 3 a) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (+ a 3) a) 9))) (* (* (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81)) (* (- 27 (pow a 3)) (* a a)))) (* (+ (* a 4) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (- a 1))))) 1)) * * * * [misc]progress: [ 76 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (239 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ a 3)) 9))) (* (+ (- 1 a) (* a a)) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a)))))) (* 4 (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))))))) (* (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ 9 (* a a))) 81)) (+ (* a (+ a 3)) 9)) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 3 a) (+ a 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ a 3)) 9))) (* (+ (- 1 a) (* a a)) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a)))))) (* 4 (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))))))) (* (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ 9 (* a a))) 81)) (+ (* a (+ a 3)) 9)) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 3 a) (+ a 1)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 77 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (225 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (+ (* a (+ a 3)) 9) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81)))) (* (* (- 3 a) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9))) (* (* (- 27 (pow a 3)) (* a a)) (* (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81)))) (* (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (+ (* a (+ a 3)) 9) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81)))) (* (* (- 3 a) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ a 3)) 9))) (* (* (- 27 (pow a 3)) (* a a)) (* (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81)))) (* (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 78 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (232 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (- 1 (pow (* a a) 3)) (* (+ (* a a) (- 1 a)) (+ 9 (* a a)))) (* (- 27 (pow a 3)) (* a a))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* (+ a 3) a)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* (+ a 3) a)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))))))) (* (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* (+ a 3) a))) (* (+ (* a a) (- 1 a)) (+ 9 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (- 1 (pow (* a a) 3)) (* (+ (* a a) (- 1 a)) (+ 9 (* a a)))) (* (- 27 (pow a 3)) (* a a))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* (+ a 3) a)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* (+ a 3) a)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))))))) (* (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* (+ a 3) a))) (* (+ (* a a) (- 1 a)) (+ 9 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 79 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (- 27 (pow a 3))) (* (* a a) (- 1 (pow (* a a) 3)))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))))) (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (- 27 (pow a 3))) (* (* a a) (- 1 (pow (* a a) 3)))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))))) (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 80 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (239 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* (- 1 (pow (* a a) 3)) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (- 27 (pow a 3)) (* a a))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))))) (* (* 4 (* (+ -1 a) (+ 9 (* a (+ a 3))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) b) (* a a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (+ (* a a) -1) (- 27 (pow a 3)))) (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))) (pow (+ (pow b 4) (pow a 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* (- 1 (pow (* a a) 3)) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (- 27 (pow a 3)) (* a a))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))))) (* (* 4 (* (+ -1 a) (+ 9 (* a (+ a 3))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) b) (* a a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (+ (* a a) -1) (- 27 (pow a 3)))) (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))) (pow (+ (pow b 4) (pow a 4)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 81 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (245 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (- 9 (* a a)) (+ (* a a) -1))) (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (- 1 (pow (* a a) 3)) (* (* (- 27 (pow a 3)) (* a a)) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))))) (* (* 4 (* (+ a -1) (+ a 3))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))) (* (* b (* b 2)) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (- 9 (* a a)) (+ (* a a) -1))) (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (- 1 (pow (* a a) 3)) (* (* (- 27 (pow a 3)) (* a a)) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))))) (* (* 4 (* (+ a -1) (+ a 3))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))) (* (* b (* b 2)) (* a a))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 82 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (230 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* (- 1 (pow (* a a) 3)) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (- 27 (pow a 3)) (* a a))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))))) (* (* 4 (+ 9 (* a (+ 3 a)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))) (* (* (- 27 (pow a 3)) (+ a 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* (- 1 (pow (* a a) 3)) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (- 27 (pow a 3)) (* a a))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))))) (* (* 4 (+ 9 (* a (+ 3 a)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))) (* (* (- 27 (pow a 3)) (+ a 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 83 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (+ a 1) (- 9 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- 27 (pow a 3)) (* a a))) (- 1 (pow (* a a) 3))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))))) (* (* 4 (+ a 3)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (+ a 1) (- 9 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- 27 (pow a 3)) (* a a))) (- 1 (pow (* a a) 3))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))))) (* (* 4 (+ a 3)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 84 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (230 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (- 1 (pow (* a a) 3)) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (- 27 (pow a 3)) (* a a))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* (+ a 3) a)))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* (+ a 3) a)))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (+ 1 (pow a 3)) (- 3 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (- 1 (pow (* a a) 3)) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (- 27 (pow a 3)) (* a a))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* (+ a 3) a)))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* (+ a 3) a)))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (+ 1 (pow a 3)) (- 3 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 85 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (+ (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))))) (* (* 4 (+ a -1)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- (* a a) 1) (- 3 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (+ (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))))) (* (* 4 (+ a -1)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- (* a a) 1) (- 3 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 86 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (* (+ (* a a) (- 1 a)) (+ 9 (* a a))) (- 27 (pow a 3))) (* (* a a) (- 1 (pow (* a a) 3)))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))))) (* (* (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) 4)) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (* (+ (* a a) (- 1 a)) (+ 9 (* a a))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (* (* (+ (* a a) (- 1 a)) (+ 9 (* a a))) (- 27 (pow a 3))) (* (* a a) (- 1 (pow (* a a) 3)))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))))) (* (* (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) 4)) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (* (+ (* a a) (- 1 a)) (+ 9 (* a a))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 87 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (230 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))))) (* (* (* 4 (* (+ (* a a) (- 1 a)) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))))) (* (* (* 4 (* (+ (* a a) (- 1 a)) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 88 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (* (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (* (- (* a a) 1) (- 27 (pow a 3))) (* (+ 9 (* a (+ a 3))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))))) (* (+ (* (- 1 (pow (* a a) 3)) (* (* (- 27 (pow a 3)) (* a a)) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3)))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (+ a -1) (+ 9 (* a (+ a 3))))) 4))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (* (- (* a a) 1) (- 27 (pow a 3))) (* (+ 9 (* a (+ a 3))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))))) (* (+ (* (- 1 (pow (* a a) 3)) (* (* (- 27 (pow a 3)) (* a a)) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3)))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (+ a -1) (+ 9 (* a (+ a 3))))) 4))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 89 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- (* a a) 1) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))))) (* (* (* 4 (* (+ a -1) (+ 3 a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- (* a a) 1) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))))) (* (* (* 4 (* (+ a -1) (+ 3 a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 90 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))) (* (* (- 27 (pow a 3)) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))) (* (* (- 27 (pow a 3)) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 91 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (228 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3)))))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3)))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a)))))) (* (* (- 9 (* a a)) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3)))))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3)))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a)))))) (* (* (- 9 (* a a)) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 92 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (223 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3)))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (+ 1 (pow a 3)) (- 3 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3)))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (+ 1 (pow a 3)) (- 3 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 93 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (223 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a)))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a))))) (* (* (- 3 a) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a)))))) (* (* (* 4 (+ -1 a)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a)))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a))))) (* (* (- 3 a) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a)))))) (* (* (* 4 (+ -1 a)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 94 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (203 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 (pow (* a a) 3)) (* (+ (* a a) (- 1 a)) (+ 9 (* a a)))) (* (- 27 (pow a 3)) (* a a))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (* (* (+ (* a a) (- 1 a)) (+ 9 (* a a))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 1 (pow (* a a) 3)) (* (+ (* a a) (- 1 a)) (+ 9 (* a a)))) (* (- 27 (pow a 3)) (* a a))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (* (* (+ (* a a) (- 1 a)) (+ 9 (* a a))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 95 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))))) (* (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))))) (* (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 96 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (+ (* a a) -1) (- 27 (pow a 3)))) (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))))) (* (* (* 4 (+ -1 a)) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (+ (* a a) -1) (- 27 (pow a 3)))) (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))))) (* (* (* 4 (+ -1 a)) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 97 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (216 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- 27 (pow a 3)) (* a a))) (- 1 (pow (* a a) 3))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))))) (* (* (* (- a 1) (+ a 3)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- 9 (* a a)) (+ (* a a) -1))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- 27 (pow a 3)) (* a a))) (- 1 (pow (* a a) 3))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))))) (* (* (* (- a 1) (+ a 3)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- 9 (* a a)) (+ (* a a) -1))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 98 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (201 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 (pow (* a a) 3)) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (- 27 (pow a 3)) (* a a))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3)))))) (* (+ (* (* a (+ a 3)) 4) 36) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3)))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (* (+ a 1) (- 27 (pow a 3))) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 1 (pow (* a a) 3)) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (- 27 (pow a 3)) (* a a))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3)))))) (* (+ (* (* a (+ a 3)) 4) 36) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3)))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (* (+ a 1) (- 27 (pow a 3))) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 99 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ 3 a)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) b) (* a a)) 3)) (* (* (+ a 1) (- 9 (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a))))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3)))) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))) (* (+ (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (- 27 (pow a 3))) (* (* a a) (- 1 (pow (* a a) 3)))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3)))))) (* (+ 12 (* 4 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) b) (* a a)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) b) (* a a)) 3)) (* (* (+ a 1) (- 9 (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a))))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3)))) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))) (* (+ (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (- 27 (pow a 3))) (* (* a a) (- 1 (pow (* a a) 3)))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3)))))) (* (+ 12 (* 4 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) b) (* a a)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 100 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (201 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 (pow (* a a) 3)) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (- 27 (pow a 3)) (* a a))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))))) (* (* 4 (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- 3 a) (+ 1 (pow a 3)))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 1 (pow (* a a) 3)) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (- 27 (pow a 3)) (* a a))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))))) (* (* 4 (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- 3 a) (+ 1 (pow a 3)))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 101 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- a 1)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 (pow (* a a) 3)) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (- 27 (pow a 3)) (* a a))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3)))))) (* (* 4 (+ a -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3)))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (* (- (* a a) 1) (- 3 a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 1 (pow (* a a) 3)) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (- 27 (pow a 3)) (* a a))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3)))))) (* (* 4 (+ a -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3)))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (* (- (* a a) 1) (- 3 a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (- a 1))))) 1)) * * * * [misc]progress: [ 102 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (228 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- 1 (pow (* a a) 3)) (* (* (- 27 (pow a 3)) (* a a)) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))))) (* 4 (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))))) (* (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (- 3 a) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- 1 (pow (* a a) 3)) (* (* (- 27 (pow a 3)) (* a a)) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))))) (* 4 (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))))) (* (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (- 3 a) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 103 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* (+ a 3) a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (* (- 3 a) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* (+ a 3) a))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* (+ a 3) a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (* (- 3 a) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* (+ a 3) a))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 104 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (248 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (+ (* (* (+ (* (+ a 3) a) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (+ (* a a) -1)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* (+ -1 a) 81))))) (* (* 4 (* (+ (* (+ a 3) a) 9) (+ (* a a) (- 1 a)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (+ (* (+ a 3) a) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* (+ -1 a) 81)) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (+ (* (* (+ (* (+ a 3) a) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (+ (* a a) -1)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* (+ -1 a) 81))))) (* (* 4 (* (+ (* (+ a 3) a) 9) (+ (* a a) (- 1 a)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (+ (* (+ a 3) a) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* (+ -1 a) 81)) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 105 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* (* (+ -1 a) (* a a)) (+ 9 (* a a))) (* 81 (+ -1 a))) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- 729 (pow (* a a) 3)) (* (* b b) (+ (* a a) -1)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (* (+ -1 a) (* a a)) (+ 9 (* a a))) (* 81 (+ -1 a)))))) (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* (* (+ -1 a) (* a a)) (+ 9 (* a a))) (* 81 (+ -1 a))) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- 729 (pow (* a a) 3)) (* (* b b) (+ (* a a) -1)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (* (+ -1 a) (* a a)) (+ 9 (* a a))) (* 81 (+ -1 a)))))) (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 106 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (+ (* (* (+ (* a (+ a 3)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (+ (* a a) -1)))) (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ 9 (* a a))))))) (* (* 4 (* (- a 1) (+ 9 (* a (+ a 3))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (+ (* a (+ a 3)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ 9 (* a a)))) (* (+ (* a a) -1) (- 27 (pow a 3)))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))) (pow (+ (pow b 4) (pow a 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (+ (* (* (+ (* a (+ a 3)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (+ (* a a) -1)))) (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ 9 (* a a))))))) (* (* 4 (* (- a 1) (+ 9 (* a (+ a 3))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (+ (* a (+ a 3)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ 9 (* a a)))) (* (+ (* a a) -1) (- 27 (pow a 3)))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))) (pow (+ (pow b 4) (pow a 4)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 107 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* (+ (* a (+ a 3)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (+ (* a a) -1)))) (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* 81 (+ a -1)) (* (* (+ a -1) (* a a)) (+ (* a a) 9)))))) (* (* 4 (* (+ a 3) (+ a -1))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (* 81 (+ a -1)) (* (* (+ a -1) (* a a)) (+ (* a a) 9))) (* (+ (* a (+ a 3)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* (+ (* a (+ a 3)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (+ (* a a) -1)))) (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* 81 (+ a -1)) (* (* (+ a -1) (* a a)) (+ (* a a) 9)))))) (* (* 4 (* (+ a 3) (+ a -1))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (* 81 (+ a -1)) (* (* (+ a -1) (* a a)) (+ (* a a) 9))) (* (+ (* a (+ a 3)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 108 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (- (* a a) 1)))) (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* 81 (- a 1)))))) (* (* 4 (+ (* a (+ 3 a)) 9)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* a a)) 2))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* 81 (- a 1))) (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (+ a 1) (- 27 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (- (* a a) 1)))) (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* 81 (- a 1)))))) (* (* 4 (+ (* a (+ 3 a)) 9)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* a a)) 2))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* 81 (- a 1))) (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (+ a 1) (- 27 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 109 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (242 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (+ (* a a) -1)))) (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* (+ -1 a) 81) (* (* (+ -1 a) (* a a)) (+ (* a a) 9)))))) (* (* 4 (+ a 3)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (* (+ -1 a) 81) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))) (* (+ (* 8 (pow (* (* b b) (* a a)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 9 (* a a)) (+ a 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (+ (* a a) -1)))) (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* (+ -1 a) 81) (* (* (+ -1 a) (* a a)) (+ (* a a) 9)))))) (* (* 4 (+ a 3)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (* (+ -1 a) 81) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))) (* (+ (* 8 (pow (* (* b b) (* a a)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 9 (* a a)) (+ a 1))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 110 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* (+ (* (+ a 3) a) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- 729 (pow (* a a) 3)) (* (* b b) (+ (* a a) -1)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (* (- a 1) (* a a)) (+ (* a a) 9)) (* 81 (- a 1)))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (* 2 (* (* b b) (* a a))))))) (* (* (+ (* 8 (pow (* (* b b) (* a a)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 3 a) (+ 1 (pow a 3)))) (* (* (+ (* (* (- a 1) (* a a)) (+ (* a a) 9)) (* 81 (- a 1))) (* (+ (* (+ a 3) a) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* (+ (* (+ a 3) a) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- 729 (pow (* a a) 3)) (* (* b b) (+ (* a a) -1)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (* (- a 1) (* a a)) (+ (* a a) 9)) (* 81 (- a 1)))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (* 2 (* (* b b) (* a a))))))) (* (* (+ (* 8 (pow (* (* b b) (* a a)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 3 a) (+ 1 (pow a 3)))) (* (* (+ (* (* (- a 1) (* a a)) (+ (* a a) 9)) (* 81 (- a 1))) (* (+ (* (+ a 3) a) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 111 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (- (* a a) 1)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (* (+ a -1) (* a a)) (+ 9 (* a a))) (* 81 (+ a -1)))))) (* (* 4 (+ a -1)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* a a)) 2))))) (* (* (* (+ (* (* (+ a -1) (* a a)) (+ 9 (* a a))) (* 81 (+ a -1))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))) (* (* (- (* a a) 1) (- 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (- (* a a) 1)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (* (+ a -1) (* a a)) (+ 9 (* a a))) (* 81 (+ a -1)))))) (* (* 4 (+ a -1)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* a a)) 2))))) (* (* (* (+ (* (* (+ a -1) (* a a)) (+ 9 (* a a))) (* 81 (+ a -1))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))) (* (* (- (* a a) 1) (- 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 112 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ (* a (+ a 3)) 9) (+ (- 1 a) (* a a)))) 4) (+ (* (* (+ (* a (+ a 3)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (- (* a a) 1)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ (* a a) 9)))))) (* (* (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ (* a a) 9))) (* (+ (* a (+ a 3)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ (* a (+ a 3)) 9) (+ (- 1 a) (* a a)))) 4) (+ (* (* (+ (* a (+ a 3)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (- (* a a) 1)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ (* a a) 9)))))) (* (* (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ (* a a) 9))) (* (+ (* a (+ a 3)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 113 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (+ (* (* (- a 1) (* a a)) (+ (* a a) 9)) (* 81 (- a 1))) (* (+ (* a (+ a 3)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2))) (* (- 9 (* a a)) (+ 1 (pow a 3))))) (* (+ (* (* (+ (* a (+ a 3)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (+ (* a a) -1)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (* (- a 1) (* a a)) (+ (* a a) 9)) (* 81 (- a 1))))) (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (+ (* (* (- a 1) (* a a)) (+ (* a a) 9)) (* 81 (- a 1))) (* (+ (* a (+ a 3)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2))) (* (- 9 (* a a)) (+ 1 (pow a 3))))) (* (+ (* (* (+ (* a (+ a 3)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (+ (* a a) -1)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (* (- a 1) (* a a)) (+ (* a a) 9)) (* 81 (- a 1))))) (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 114 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (230 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (+ (* a a) -1)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* 81 (+ -1 a)) (* (* (+ -1 a) (* a a)) (+ 9 (* a a)))))) (* (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (* (+ -1 a) (+ 9 (* a (+ a 3))))) 4)) (* (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (* (+ (* 81 (+ -1 a)) (* (* (+ -1 a) (* a a)) (+ 9 (* a a)))) (* (+ (* a a) -1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (+ (* a a) -1)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* 81 (+ -1 a)) (* (* (+ -1 a) (* a a)) (+ 9 (* a a)))))) (* (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (* (+ -1 a) (+ 9 (* a (+ a 3))))) 4)) (* (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (* (+ (* 81 (+ -1 a)) (* (* (+ -1 a) (* a a)) (+ 9 (* a a)))) (* (+ (* a a) -1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 115 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (- (* a a) 1)))) (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* 81 (+ -1 a))))) (* (* (* 4 (* (+ -1 a) (+ a 3))) (- (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* 81 (+ -1 a))) (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (- (* a a) 1) (- 9 (* a a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (- (* a a) 1)))) (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* 81 (+ -1 a))))) (* (* (* 4 (* (+ -1 a) (+ a 3))) (- (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* 81 (+ -1 a))) (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (- (* a a) 1) (- 9 (* a a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 116 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (228 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* a (+ a 3)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (+ (* a a) -1)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (* (+ a -1) (* a a)) (+ 9 (* a a))) (* 81 (+ a -1))))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (* (* (- 27 (pow a 3)) (+ a 1)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (* (+ (* (* (+ a -1) (* a a)) (+ 9 (* a a))) (* 81 (+ a -1))) (* (+ (* a (+ a 3)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* a (+ a 3)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (+ (* a a) -1)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (* (+ a -1) (* a a)) (+ 9 (* a a))) (* 81 (+ a -1))))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (* (* (- 27 (pow a 3)) (+ a 1)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (* (+ (* (* (+ a -1) (* a a)) (+ 9 (* a a))) (* 81 (+ a -1))) (* (+ (* a (+ a 3)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 117 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (234 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (+ (* a a) -1)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (* (- a 1) (* a a)) (+ (* a a) 9)) (* 81 (- a 1))))) (* (* (* 4 (+ a 3)) (- (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a)))) (* (+ (* (* (- a 1) (* a a)) (+ (* a a) 9)) (* 81 (- a 1))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))) (* (* (- 9 (* a a)) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (+ (* a a) -1)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (* (- a 1) (* a a)) (+ (* a a) 9)) (* 81 (- a 1))))) (* (* (* 4 (+ a 3)) (- (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a)))) (* (+ (* (* (- a 1) (* a a)) (+ (* a a) 9)) (* 81 (- a 1))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))) (* (* (- 9 (* a a)) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 118 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (239 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* 81 (+ -1 a)) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))) (* (+ 1 (pow a 3)) (- 3 a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- 729 (pow (* a a) 3)) (* (* b b) (+ (* a a) -1)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* 81 (+ -1 a)) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))))) (* (* (* 4 (+ (- 1 a) (* a a))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* 81 (+ -1 a)) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))) (* (+ 1 (pow a 3)) (- 3 a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- 729 (pow (* a a) 3)) (* (* b b) (+ (* a a) -1)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* 81 (+ -1 a)) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))))) (* (* (* 4 (+ (- 1 a) (* a a))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 119 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (223 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (+ (* a a) -1)))) (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* (+ -1 a) 81) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))))) (* (* (* 4 (+ -1 a)) (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (* (- 3 a) (+ (* a a) -1))) (* (* (+ (* (+ -1 a) 81) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))) (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (+ (* a a) -1)))) (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* (+ -1 a) 81) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))))) (* (* (* 4 (+ -1 a)) (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (* (- 3 a) (+ (* a a) -1))) (* (* (+ (* (+ -1 a) 81) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))) (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 120 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (219 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a (+ 3 a)) 9) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- a 1))) (* (+ (* (+ (* a a) 9) (* a a)) 81) (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))))) (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (+ (* (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (+ (* a a) -1)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (* (- a 1) (* a a)) (+ (* a a) 9)) (* 81 (- a 1))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* a (+ 3 a)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* a (+ 3 a)) 9) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- a 1))) (* (+ (* (+ (* a a) 9) (* a a)) 81) (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))))) (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (+ (* (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (+ (* a a) -1)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (* (- a 1) (* a a)) (+ (* a a) 9)) (* 81 (- a 1))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* a (+ 3 a)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 121 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (225 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* a (+ a 3)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (- (* a a) 1)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (* (+ -1 a) (* a a)) (+ 9 (* a a))) (* (+ -1 a) 81)))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (* (+ (* a (+ a 3)) 9) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ -1 a))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* a (+ a 3)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (- (* a a) 1)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (* (+ -1 a) (* a a)) (+ 9 (* a a))) (* (+ -1 a) 81)))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (* (+ (* a (+ a 3)) 9) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ -1 a))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 122 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ -1 a) (+ 9 (* a (+ a 3))))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (+ (* (* (+ (* a (+ a 3)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (+ (* a a) -1)))) (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* (+ -1 a) 81) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))))) (* (* (* 4 (+ -1 a)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ -1 a) (+ 9 (* a (+ a 3))))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (+ (* (* (+ (* a (+ a 3)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (+ (* a a) -1)))) (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* (+ -1 a) 81) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))))) (* (* (* 4 (+ -1 a)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 123 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- a 1)) (* (+ (* (+ (* a a) 9) (* a a)) 81) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)))) (* (* (- 9 (* a a)) (- (* a a) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (+ (* (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (- (* a a) 1)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (* (- a 1) (* a a)) (+ (* a a) 9)) (* 81 (- a 1))))) (* (* (* (- a 1) (+ 3 a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- a 1)) (* (+ (* (+ (* a a) 9) (* a a)) 81) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)))) (* (* (- 9 (* a a)) (- (* a a) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (+ (* (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (- (* a a) 1)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (* (- a 1) (* a a)) (+ (* a a) 9)) (* 81 (- a 1))))) (* (* (* (- a 1) (+ 3 a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 124 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ (* a (+ a 3)) 9) (+ -1 a))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (* (* (+ a 1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (+ (* (* (+ (* a (+ a 3)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (+ (* a a) -1)))) (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* (+ -1 a) 81) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))))) (* (+ 36 (* 4 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ (* a (+ a 3)) 9) (+ -1 a))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (* (* (+ a 1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (+ (* (* (+ (* a (+ a 3)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (+ (* a a) -1)))) (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* (+ -1 a) 81) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))))) (* (+ 36 (* 4 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 125 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ 3 a)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (213 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ -1 a)) (* (+ 81 (* (+ (* a a) 9) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)))) (* (* (+ a 1) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (+ (* (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (+ (* a a) -1)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* 81 (+ -1 a))))) (* (+ (* a 4) 12) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ -1 a)) (* (+ 81 (* (+ (* a a) 9) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)))) (* (* (+ a 1) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (+ (* (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (+ (* a a) -1)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* 81 (+ -1 a))))) (* (+ (* a 4) 12) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 126 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (217 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a (+ 3 a)) 9) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- a 1))) (* (+ (* (+ (* a a) 9) (* a a)) 81) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (* (* (- 3 a) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (+ (* (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (- (* a a) 1)))) (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ (* a a) 9))))) (* (* (+ (- 1 a) (* a a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* a (+ 3 a)) 9) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- a 1))) (* (+ (* (+ (* a a) 9) (* a a)) 81) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (* (* (- 3 a) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (+ (* (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (- (* a a) 1)))) (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ (* a a) 9))))) (* (* (+ (- 1 a) (* a a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 127 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- a 1)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* a (+ a 3)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (+ (* a a) -1)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ 9 (* a a)))))) (* (+ (* 4 a) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (* (+ (* a (+ a 3)) 9) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- a 1))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (* (* (- 3 a) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* a (+ a 3)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (+ (* a a) -1)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ 9 (* a a)))))) (* (+ (* 4 a) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (* (+ (* a (+ a 3)) 9) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- a 1))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))))) (* (* (- 3 a) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (- a 1))))) 1)) * * * * [misc]progress: [ 128 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (235 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (- (* a a) 1)))) (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* 81 (+ -1 a)) (* (* (+ -1 a) (* a a)) (+ 9 (* a a))))))) (* 4 (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b a)) a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (* 81 (+ -1 a)) (* (* (+ -1 a) (* a a)) (+ 9 (* a a)))) (* (+ a 1) (- 3 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (- (* a a) 1)))) (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* 81 (+ -1 a)) (* (* (+ -1 a) (* a a)) (+ 9 (* a a))))))) (* 4 (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b a)) a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (* 81 (+ -1 a)) (* (* (+ -1 a) (* a a)) (+ 9 (* a a)))) (* (+ a 1) (- 3 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 129 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a))) (* (+ (* 81 (+ a -1)) (* (* (+ a -1) (* a a)) (+ (* a a) 9))) (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (- 3 a) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (+ (* (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (+ (* a a) -1)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* 81 (+ a -1)) (* (* (+ a -1) (* a a)) (+ (* a a) 9))))) (* (* (- (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a))) (* (+ (* 81 (+ a -1)) (* (* (+ a -1) (* a a)) (+ (* a a) 9))) (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (- 3 a) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (+ (* (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (* b b) (+ (* a a) -1)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* 81 (+ a -1)) (* (* (+ a -1) (* a a)) (+ (* a a) 9))))) (* (* (- (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 130 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (* (* (- a 1) (+ (* a a) 9)) (+ 9 (* a (+ a 3)))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ 1 (pow a 3)) (- 27 (pow a 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (+ (* (* (+ 9 (* a (+ a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 27 (pow a 3))) (* (- a 1) (+ (* a a) 9)))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (+ (* (- (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4))) (* (* a a) (* b (* b 2)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (* (* (- a 1) (+ (* a a) 9)) (+ 9 (* a (+ a 3)))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ 1 (pow a 3)) (- 27 (pow a 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (+ (* (* (+ 9 (* a (+ a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 27 (pow a 3))) (* (- a 1) (+ (* a a) 9)))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (+ (* (- (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4))) (* (* a a) (* b (* b 2)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 131 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (+ 9 (* a (+ a 3))) (* (* (+ -1 a) (+ (* a a) 9)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (+ 9 (* a (+ a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (* (* (+ -1 a) (+ (* a a) 9)) (- 27 (pow a 3))) (* (- 1 (pow (* a a) 3)) (* a a))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (* (- (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4))) (* (* a a) (* b (* b 2)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (+ 9 (* a (+ a 3))) (* (* (+ -1 a) (+ (* a a) 9)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (+ 9 (* a (+ a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (* (* (+ -1 a) (+ (* a a) 9)) (- 27 (pow a 3))) (* (- 1 (pow (* a a) 3)) (* a a))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (* (- (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4))) (* (* a a) (* b (* b 2)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 132 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (228 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (+ 9 (* a (+ a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (* (* a a) (- 27 (pow a 3))) (* (* (+ a -1) (+ 9 (* a a))) (- 1 (pow (* a a) 3)))))) (* (* 4 (* (+ a -1) (+ 9 (* a (+ a 3))))) (+ (* (- (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4))) (* (* a a) (* b (* b 2)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (+ 9 (* a (+ a 3))) (* (* (+ a -1) (+ 9 (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (- 27 (pow a 3)) (+ (* a a) -1)) (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))) (pow (+ (pow b 4) (pow a 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (+ 9 (* a (+ a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (* (* a a) (- 27 (pow a 3))) (* (* (+ a -1) (+ 9 (* a a))) (- 1 (pow (* a a) 3)))))) (* (* 4 (* (+ a -1) (+ 9 (* a (+ a 3))))) (+ (* (- (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4))) (* (* a a) (* b (* b 2)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (+ 9 (* a (+ a 3))) (* (* (+ a -1) (+ 9 (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (- 27 (pow a 3)) (+ (* a a) -1)) (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))) (pow (+ (pow b 4) (pow a 4)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 133 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (234 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (* (* (+ -1 a) (+ (* a a) 9)) (+ 9 (* a (+ a 3)))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (- (* a a) 1) (- 9 (* a a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (+ (* (* (+ 9 (* a (+ a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (* (* (+ -1 a) (+ (* a a) 9)) (- 27 (pow a 3))) (* (- 1 (pow (* a a) 3)) (* a a))))) (* (* 4 (* (+ a 3) (+ -1 a))) (+ (* (- (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4))) (* (* a a) (* b (* b 2)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (* (* (+ -1 a) (+ (* a a) 9)) (+ 9 (* a (+ a 3)))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (- (* a a) 1) (- 9 (* a a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (+ (* (* (+ 9 (* a (+ a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (* (* (+ -1 a) (+ (* a a) 9)) (- 27 (pow a 3))) (* (- 1 (pow (* a a) 3)) (* a a))))) (* (* 4 (* (+ a 3) (+ -1 a))) (+ (* (- (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4))) (* (* a a) (* b (* b 2)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 134 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a a) (* (* b b) 2)) 3)) (+ (* (* (+ 9 (* a (+ a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (* (* (+ a -1) (+ (* a a) 9)) (- 1 (pow (* a a) 3))) (* (- 27 (pow a 3)) (* a a))))) (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* (- (* (* a a) (* (* b b) 2)) (+ (pow b 4) (pow a 4))) (* (* a a) (* (* b b) 2))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* a a) (* (* b b) 2)) 3)) (* (* (* (+ a -1) (+ (* a a) 9)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ 9 (* a (+ a 3))))) (* (* (- 27 (pow a 3)) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a a) (* (* b b) 2)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a a) (* (* b b) 2)) 3)) (+ (* (* (+ 9 (* a (+ a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (* (* (+ a -1) (+ (* a a) 9)) (- 1 (pow (* a a) 3))) (* (- 27 (pow a 3)) (* a a))))) (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* (- (* (* a a) (* (* b b) 2)) (+ (pow b 4) (pow a 4))) (* (* a a) (* (* b b) 2))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* a a) (* (* b b) 2)) 3)) (* (* (* (+ a -1) (+ (* a a) 9)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ 9 (* a (+ a 3))))) (* (* (- 27 (pow a 3)) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a a) (* (* b b) 2)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 135 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (232 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (+ 9 (* a (+ a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (* (+ -1 a) (+ (* a a) 9)) (* (- 9 (* a a)) (+ a 1))) (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* (+ 9 (* a (+ a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (* (* (+ -1 a) (+ (* a a) 9)) (- 27 (pow a 3))) (* (- 1 (pow (* a a) 3)) (* a a))))) (* (* 4 (+ a 3)) (+ (* (- (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4))) (* (* a a) (* (* b 2) b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (+ 9 (* a (+ a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (* (+ -1 a) (+ (* a a) 9)) (* (- 9 (* a a)) (+ a 1))) (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* (+ 9 (* a (+ a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (* (* (+ -1 a) (+ (* a a) 9)) (- 27 (pow a 3))) (* (- 1 (pow (* a a) 3)) (* a a))))) (* (* 4 (+ a 3)) (+ (* (- (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4))) (* (* a a) (* (* b 2) b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 136 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ 9 (* a (+ a 3))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (* (- a 1) (+ (* a a) 9)) (* (+ 1 (pow a 3)) (- 3 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* (+ 9 (* a (+ a 3))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 27 (pow a 3))) (* (- a 1) (+ (* a a) 9)))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (- (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4))) (* (* a a) (* b (* b 2)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ 9 (* a (+ a 3))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (* (- a 1) (+ (* a a) 9)) (* (+ 1 (pow a 3)) (- 3 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* (+ 9 (* a (+ a 3))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 27 (pow a 3))) (* (- a 1) (+ (* a a) 9)))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (- (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4))) (* (* a a) (* b (* b 2)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 137 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (+ (* (* (+ 9 (* (+ a 3) a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (* (* a a) (- 27 (pow a 3))) (* (* (+ a -1) (+ (* a a) 9)) (- 1 (pow (* a a) 3)))))) (* (* 4 (+ a -1)) (+ (* (* (* a a) (* (* b 2) b)) (- (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (* (* (+ a -1) (+ (* a a) 9)) (+ 9 (* (+ a 3) a))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (- 3 a) (- (* a a) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (+ (* (* (+ 9 (* (+ a 3) a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (* (* a a) (- 27 (pow a 3))) (* (* (+ a -1) (+ (* a a) 9)) (- 1 (pow (* a a) 3)))))) (* (* 4 (+ a -1)) (+ (* (* (* a a) (* (* b 2) b)) (- (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (* (* (+ a -1) (+ (* a a) 9)) (+ 9 (* (+ a 3) a))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (- 3 a) (- (* a a) 1))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 138 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (230 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ 1 (pow a 3)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* (* b b) 2)) (* (* a a) (* (* b b) 2))))) (* (- 27 (pow a 3)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 9 (* a (+ a 3))) (* (+ a -1) (+ (* a a) 9)))))) (* (+ (* (* (+ 9 (* a (+ a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (* (* (+ a -1) (+ (* a a) 9)) (- 1 (pow (* a a) 3))) (* (- 27 (pow a 3)) (* a a)))) (* (* (- (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3))))) 4))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (+ 1 (pow a 3)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* (* b b) 2)) (* (* a a) (* (* b b) 2))))) (* (- 27 (pow a 3)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 9 (* a (+ a 3))) (* (+ a -1) (+ (* a a) 9)))))) (* (+ (* (* (+ 9 (* a (+ a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (* (* (+ a -1) (+ (* a a) 9)) (- 1 (pow (* a a) 3))) (* (- 27 (pow a 3)) (* a a)))) (* (* (- (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3))))) 4))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 139 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 9 (* a (+ a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (* (* (- a 1) (+ (* a a) 9)) (- 1 (pow (* a a) 3))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (* (+ (* a a) (- 1 a)) (+ a 3))) (- (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (* (- (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b)))) (* (* (* (- a 1) (+ (* a a) 9)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ 9 (* a (+ a 3))))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 9 (* a (+ a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (* (* (- a 1) (+ (* a a) 9)) (- 1 (pow (* a a) 3))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (* (+ (* a a) (- 1 a)) (+ a 3))) (- (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (* (- (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b)))) (* (* (* (- a 1) (+ (* a a) 9)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ 9 (* a (+ a 3))))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 140 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (220 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (* (+ -1 a) (+ (* a a) 9)) (+ 9 (* a (+ a 3)))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (- (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (- 27 (pow a 3)) (+ (* a a) -1))))) (* (+ (* (* (+ 9 (* a (+ a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (* (* (+ -1 a) (+ (* a a) 9)) (* (* a a) (- 27 (pow a 3)))) (- 1 (pow (* a a) 3)))) (* (* 4 (- (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ -1 a) (+ 9 (* a (+ a 3))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a a) (* (* b b) 2)) 3))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (* (+ -1 a) (+ (* a a) 9)) (+ 9 (* a (+ a 3)))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (- (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (* (- 27 (pow a 3)) (+ (* a a) -1))))) (* (+ (* (* (+ 9 (* a (+ a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (* (* (+ -1 a) (+ (* a a) 9)) (* (* a a) (- 27 (pow a 3)))) (- 1 (pow (* a a) 3)))) (* (* 4 (- (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))) (* (+ -1 a) (+ 9 (* a (+ a 3))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a a) (* (* b b) 2)) 3))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 141 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 9 (* a (+ a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (* (* (- a 1) (+ (* a a) 9)) (- 27 (pow a 3))) (* (- 1 (pow (* a a) 3)) (* a a)))) (* (* (* 4 (* (+ a 3) (- a 1))) (- (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))) (- (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2))))) (* (+ (* a a) -1) (- 9 (* a a)))) (* (* (+ 9 (* a (+ a 3))) (* (* (- a 1) (+ (* a a) 9)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 9 (* a (+ a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (* (* (- a 1) (+ (* a a) 9)) (- 27 (pow a 3))) (* (- 1 (pow (* a a) 3)) (* a a)))) (* (* (* 4 (* (+ a 3) (- a 1))) (- (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))) (- (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2))))) (* (+ (* a a) -1) (- 9 (* a a)))) (* (* (+ 9 (* a (+ a 3))) (* (* (- a 1) (+ (* a a) 9)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 142 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (218 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 9 (* a (+ a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (* (* a a) (- 27 (pow a 3))) (* (* (+ -1 a) (+ (* a a) 9)) (- 1 (pow (* a a) 3))))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (- (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a a) (* (* b b) 2)) 3)))) (* (* (* (+ 9 (* a (+ a 3))) (* (* (+ -1 a) (+ (* a a) 9)) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (- (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (* (+ a 1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a a) (* (* b b) 2)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 9 (* a (+ a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (* (* a a) (- 27 (pow a 3))) (* (* (+ -1 a) (+ (* a a) 9)) (- 1 (pow (* a a) 3))))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (- (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a a) (* (* b b) 2)) 3)))) (* (* (* (+ 9 (* a (+ a 3))) (* (* (+ -1 a) (+ (* a a) 9)) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (- (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b b) 2))))) (* (* (+ a 1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a a) (* (* b b) 2)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 143 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 9 (* a (+ a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (* (* (+ -1 a) (+ (* a a) 9)) (* (* a a) (- 27 (pow a 3)))) (- 1 (pow (* a a) 3)))) (* (* (* 4 (+ a 3)) (- (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (* (* (* (+ -1 a) (+ (* a a) 9)) (+ 9 (* a (+ a 3)))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))) (- (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))))) (* (* (- 9 (* a a)) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 9 (* a (+ a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (* (* (+ -1 a) (+ (* a a) 9)) (* (* a a) (- 27 (pow a 3)))) (- 1 (pow (* a a) 3)))) (* (* (* 4 (+ a 3)) (- (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (* (* (* (+ -1 a) (+ (* a a) 9)) (+ 9 (* a (+ a 3)))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))) (- (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))))) (* (* (- 9 (* a a)) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 144 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 3 a) (+ 1 (pow a 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))) (- (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))))) (* (* (* (* (+ a -1) (+ (* a a) 9)) (+ 9 (* a (+ 3 a)))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (+ (* (* (+ 9 (* a (+ 3 a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (* (+ a -1) (+ (* a a) 9)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))))) (* (* (* 4 (+ (* a a) (- 1 a))) (- (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 3 a) (+ 1 (pow a 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))) (- (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))))) (* (* (* (* (+ a -1) (+ (* a a) 9)) (+ 9 (* a (+ 3 a)))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (+ (* (* (+ 9 (* a (+ 3 a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (* (+ a -1) (+ (* a a) 9)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))))) (* (* (* 4 (+ (* a a) (- 1 a))) (- (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 145 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (213 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 9 (* a (+ 3 a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (* (* (+ -1 a) (+ (* a a) 9)) (- 27 (pow a 3))) (* (- 1 (pow (* a a) 3)) (* a a)))) (* (* (* 4 (+ -1 a)) (- (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (* (- (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2))))) (* (+ (* a a) -1) (- 3 a))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ 9 (* a (+ 3 a))) (* (+ -1 a) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 9 (* a (+ 3 a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (* (* (+ -1 a) (+ (* a a) 9)) (- 27 (pow a 3))) (* (- 1 (pow (* a a) 3)) (* a a)))) (* (* (* 4 (+ -1 a)) (- (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (* (- (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2))))) (* (+ (* a a) -1) (- 3 a))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ 9 (* a (+ 3 a))) (* (+ -1 a) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 146 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ -1 a) (+ (* a a) 9)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ 9 (* a (+ 3 a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ 1 (pow a 3)) (- 27 (pow a 3))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))) (* (+ (* (* (+ 9 (* a (+ 3 a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (- 1 (pow (* a a) 3)) (* (* (- 27 (pow a 3)) (* a a)) (* (+ -1 a) (+ (* a a) 9))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ 9 (* a (+ 3 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (* (+ -1 a) (+ (* a a) 9)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ 9 (* a (+ 3 a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ 1 (pow a 3)) (- 27 (pow a 3))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))) (* (+ (* (* (+ 9 (* a (+ 3 a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (- 1 (pow (* a a) 3)) (* (* (- 27 (pow a 3)) (* a a)) (* (+ -1 a) (+ (* a a) 9))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ 9 (* a (+ 3 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 147 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 9 (* a (+ 3 a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (* (* a a) (- 27 (pow a 3))) (* (* (- a 1) (+ (* a a) 9)) (- 1 (pow (* a a) 3))))) (* (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (* (* (- a 1) (+ (* a a) 9)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ 9 (* a (+ 3 a)))) (* (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 9 (* a (+ 3 a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (* (* a a) (- 27 (pow a 3))) (* (* (- a 1) (+ (* a a) 9)) (- 1 (pow (* a a) 3))))) (* (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (* (* (- a 1) (+ (* a a) 9)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ 9 (* a (+ 3 a)))) (* (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 148 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (+ (* (* (+ 9 (* (+ a 3) a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (* (* (* (+ a -1) (+ (* a a) 9)) (* (- 27 (pow a 3)) (- (* a a) 1))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a a) (* (* b 2) b)) 3)))) (* (+ (* (* (+ 9 (* (+ a 3) a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (* (* (+ a -1) (+ (* a a) 9)) (- 27 (pow a 3))) (* (- 1 (pow (* a a) 3)) (* a a)))) (* (* (* 4 (+ a -1)) (+ 9 (* (+ a 3) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a a) (* (* b 2) b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ 9 (* (+ a 3) a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (* (* (* (+ a -1) (+ (* a a) 9)) (* (- 27 (pow a 3)) (- (* a a) 1))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a a) (* (* b 2) b)) 3)))) (* (+ (* (* (+ 9 (* (+ a 3) a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (* (* (+ a -1) (+ (* a a) 9)) (- 27 (pow a 3))) (* (- 1 (pow (* a a) 3)) (* a a)))) (* (* (* 4 (+ a -1)) (+ 9 (* (+ a 3) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a a) (* (* b 2) b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 149 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (205 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 9 (* a (+ a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (* (+ a -1) (+ (* a a) 9)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))))) (* (* (* 4 (+ a -1)) (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (* (* (+ a -1) (+ (* a a) 9)) (+ 9 (* a (+ a 3)))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 9 (* a (+ a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (* (+ a -1) (+ (* a a) 9)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))))) (* (* (* 4 (+ a -1)) (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (* (* (+ a -1) (+ (* a a) 9)) (+ 9 (* a (+ a 3)))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 150 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (- 27 (pow a 3)) (+ a 1))) (* (* (* (* (+ a -1) (+ (* a a) 9)) (+ 9 (* (+ a 3) a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (+ (* (* (+ 9 (* (+ a 3) a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 27 (pow a 3))) (* (+ a -1) (+ (* a a) 9))))) (* (+ (* 4 (* (+ a 3) a)) 36) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (- 27 (pow a 3)) (+ a 1))) (* (* (* (* (+ a -1) (+ (* a a) 9)) (+ 9 (* (+ a 3) a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (+ (* (* (+ 9 (* (+ a 3) a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 27 (pow a 3))) (* (+ a -1) (+ (* a a) 9))))) (* (+ (* 4 (* (+ a 3) a)) 36) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 151 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ 3 a)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (203 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 9 (* a (+ a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 27 (pow a 3))) (* (+ a -1) (+ (* a a) 9))))) (* (+ (* a 4) 12) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* b b) (* a a))) 3)))) (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (* (- 9 (* a a)) (+ a 1))) (* (* (+ 9 (* a (+ a 3))) (* (* (+ a -1) (+ (* a a) 9)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* b b) (* a a))) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 9 (* a (+ a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 27 (pow a 3))) (* (+ a -1) (+ (* a a) 9))))) (* (+ (* a 4) 12) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* b b) (* a a))) 3)))) (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (* (- 9 (* a a)) (+ a 1))) (* (* (+ 9 (* a (+ a 3))) (* (* (+ a -1) (+ (* a a) 9)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* b b) (* a a))) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 152 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (+ (* (* (+ 9 (* a (+ a 3))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (* (* (+ a -1) (+ (* a a) 9)) (* (+ 1 (pow a 3)) (- 3 a))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a a) (* (* b 2) b)) 3)))) (* (+ (* (* (+ 9 (* a (+ a 3))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 27 (pow a 3))) (* (+ a -1) (+ (* a a) 9))))) (* (* 4 (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a a) (* (* b 2) b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ 9 (* a (+ a 3))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (* (* (+ a -1) (+ (* a a) 9)) (* (+ 1 (pow a 3)) (- 3 a))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a a) (* (* b 2) b)) 3)))) (* (+ (* (* (+ 9 (* a (+ a 3))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 27 (pow a 3))) (* (+ a -1) (+ (* a a) 9))))) (* (* 4 (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a a) (* (* b 2) b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 153 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- a 1)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * [exit]simplify: Simplified to (+ (* (* (+ 9 (* a (+ 3 a))) (* (* (+ -1 a) (+ (* a a) 9)) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (+ (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4))) (* (- 3 a) (+ (* a a) -1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (+ (* (* (+ 9 (* a (+ 3 a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (* (* a a) (- 27 (pow a 3))) (* (* (+ -1 a) (+ (* a a) 9)) (- 1 (pow (* a a) 3))))) (* (+ (* a 4) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ 9 (* a (+ 3 a))) (* (* (+ -1 a) (+ (* a a) 9)) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (+ (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4))) (* (- 3 a) (+ (* a a) -1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (+ (* (* (+ 9 (* a (+ 3 a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (* (* a a) (- 27 (pow a 3))) (* (* (+ -1 a) (+ (* a a) 9)) (- 1 (pow (* a a) 3))))) (* (+ (* a 4) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (- a 1))))) 1)) * * * * [misc]progress: [ 154 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (225 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (+ 9 (* a (+ a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (* (* a a) (- 27 (pow a 3))) (* (* (+ -1 a) (+ (* a a) 9)) (- 1 (pow (* a a) 3))))) 4) (* (+ (* (- (* (* a a) (* (* b b) 2)) (+ (pow b 4) (pow a 4))) (* (* a a) (* (* b b) 2))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2)))) (* (* (* (+ -1 a) (+ (* a a) 9)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ 9 (* a (+ a 3))))) (* (* (- 3 a) (+ a 1)) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2))) (pow (+ (pow b 4) (pow a 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (+ 9 (* a (+ a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (* (* a a) (- 27 (pow a 3))) (* (* (+ -1 a) (+ (* a a) 9)) (- 1 (pow (* a a) 3))))) 4) (* (+ (* (- (* (* a a) (* (* b b) 2)) (+ (pow b 4) (pow a 4))) (* (* a a) (* (* b b) 2))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2)))) (* (* (* (+ -1 a) (+ (* a a) 9)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ 9 (* a (+ a 3))))) (* (* (- 3 a) (+ a 1)) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2))) (pow (+ (pow b 4) (pow a 4)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 155 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (211 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 9 (* a (+ 3 a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 27 (pow a 3))) (* (+ -1 a) (+ (* a a) 9))))) (* (* 4 (- (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (+ 9 (* a (+ 3 a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (* (+ -1 a) (+ (* a a) 9)) (* (+ a 1) (- 3 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* (* b 2) b)) (* (* a a) (* (* b 2) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 9 (* a (+ 3 a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 27 (pow a 3))) (* (+ -1 a) (+ (* a a) 9))))) (* (* 4 (- (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (+ 9 (* a (+ 3 a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (* (+ -1 a) (+ (* a a) 9)) (* (+ a 1) (- 3 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* (* b 2) b)) (* (* a a) (* (* b 2) b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 156 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a))))))) (* (* 4 (* (+ 9 (* a (+ a 3))) (+ (* a a) (- 1 a)))) (+ (* (- (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4))) (* (* a a) (* (* b 2) b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a))))))) (* (* 4 (* (+ 9 (* a (+ a 3))) (+ (* a a) (- 1 a)))) (+ (* (- (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4))) (* (* a a) (* (* b 2) b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 157 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (+ (pow (* (* (* a a) (* b b)) 2) 3) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 9 (* a a)) (+ 1 (pow a 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3)))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (+ (pow (* (* (* a a) (* b b)) 2) 3) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 9 (* a a)) (+ 1 (pow a 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3)))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 158 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (241 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* (+ a 3) a))) (+ 81 (* (* a a) (+ 9 (* a a))))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))) (* (* (- (* a a) 1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* (+ a 3) a))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a))))))) (* (* 4 (* (+ -1 a) (+ 9 (* (+ a 3) a)))) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* (+ a 3) a))) (+ 81 (* (* a a) (+ 9 (* a a))))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))) (* (* (- (* a a) 1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* (+ a 3) a))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a))))))) (* (* 4 (* (+ -1 a) (+ 9 (* (+ a 3) a)))) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 159 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (247 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 9 (* a (+ 3 a)))))) (* (* (- 9 (* a a)) (- (* a a) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 9 (* a (+ 3 a)))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (* 4 (* (- a 1) (+ a 3))) (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 9 (* a (+ 3 a)))))) (* (* (- 9 (* a a)) (- (* a a) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 9 (* a (+ 3 a)))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (* 4 (* (- a 1) (+ a 3))) (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 160 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (230 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* (* (* a a) (* b (* b 2))) (- (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))) (* (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (- 27 (pow a 3)) (+ a 1))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* (* (* a a) (* b (* b 2))) (- (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))) (* (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (- 27 (pow a 3)) (+ a 1))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 161 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 9 (* a (+ 3 a)))) (+ 81 (* (* a a) (+ 9 (* a a))))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- 9 (* a a)) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 9 (* a (+ 3 a)))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))))) (* (* 4 (+ a 3)) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 9 (* a (+ 3 a)))) (+ 81 (* (* a a) (+ 9 (* a a))))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- 9 (* a a)) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 9 (* a (+ 3 a)))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))))) (* (* 4 (+ a 3)) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 162 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (242 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 3 a) (+ 1 (pow a 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a))))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 3 a) (+ 1 (pow a 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a))))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 163 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (234 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 9 (* a (+ a 3))))) (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (* a a) -1) (- 3 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 9 (* a (+ a 3)))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a))))))) (* (* 4 (+ a -1)) (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 9 (* a (+ a 3))))) (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (* a a) -1) (- 3 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 9 (* a (+ a 3)))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a))))))) (* (* 4 (+ a -1)) (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 164 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* 4 (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (+ 9 (* a (+ a 3))) (+ (* a a) (- 1 a)))) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))))) (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (* (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* 4 (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (+ 9 (* a (+ a 3))) (+ (* a a) (- 1 a)))) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))))) (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (* (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 165 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (242 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* 4 (* (+ (* a a) (- 1 a)) (+ 3 a))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (+ 81 (* (* a a) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* 4 (* (+ (* a a) (- 1 a)) (+ 3 a))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (+ 81 (* (* a a) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 166 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (233 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ 81 (* (+ 9 (* a a)) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (- 27 (pow a 3)) (+ (* a a) -1))) (* (* (* 4 (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (+ a -1) (+ 9 (* a (+ a 3))))) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (+ 9 (* a a)) (* a a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (+ 81 (* (+ 9 (* a a)) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (- 27 (pow a 3)) (+ (* a a) -1))) (* (* (* 4 (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (+ a -1) (+ 9 (* a (+ a 3))))) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (+ 9 (* a a)) (* a a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 167 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 9 (* a (+ a 3)))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))))) (* (* (* 4 (* (- a 1) (+ 3 a))) (- (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (* (* (- 9 (* a a)) (+ (* a a) -1)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a)))) (- (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a)))) (* (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 9 (* a (+ a 3))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 9 (* a (+ a 3)))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))))) (* (* (* 4 (* (- a 1) (+ 3 a))) (- (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (* (* (- 9 (* a a)) (+ (* a a) -1)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a)))) (- (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a)))) (* (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 9 (* a (+ a 3))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 168 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (- (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (* (- 27 (pow a 3)) (+ a 1)) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2))))) (- (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (- (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (* (- 27 (pow a 3)) (+ a 1)) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2))))) (- (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 169 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (228 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* (* b 2) b)) (* (* a a) (* (* b 2) b)))) (* (+ a 1) (- 9 (* a a)))) (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 9 (* a (+ a 3)))) (+ 81 (* (+ 9 (* a a)) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 9 (* a (+ a 3)))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (+ 9 (* a a)) (* a a))))) (* (* (* 4 (+ a 3)) (- (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* (* b 2) b)) (* (* a a) (* (* b 2) b)))) (* (+ a 1) (- 9 (* a a)))) (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 9 (* a (+ a 3)))) (+ 81 (* (+ 9 (* a a)) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 9 (* a (+ a 3)))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (+ 9 (* a a)) (* a a))))) (* (* (* 4 (+ a 3)) (- (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 170 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (235 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3)))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* 4 (+ (* a a) (- 1 a))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (* (* (- 3 a) (+ 1 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3)))) (+ 81 (* (* a a) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3)))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* 4 (+ (* a a) (- 1 a))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (* (* (- 3 a) (+ 1 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3)))) (+ 81 (* (* a a) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 171 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (225 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (* 4 (+ -1 a)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b (* b 2)) (* a a)) (* (* b (* b 2)) (* a a)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (- 3 a) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (* 4 (+ -1 a)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b (* b 2)) (* a a)) (* (* b (* b 2)) (* a a)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (- 3 a) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 172 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2))))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* (+ a 3) a))) (+ 81 (* (* a a) (+ (* a a) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* (+ a 3) a))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ 9 (* (+ a 3) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2))))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* (+ a 3) a))) (+ 81 (* (* a a) (+ (* a a) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* (+ a 3) a))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ 9 (* (+ a 3) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 173 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3)))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3)))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 174 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))))) (* (* (* 4 (+ -1 a)) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (* (* (- (* a a) 1) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))))) (* (* (* 4 (+ -1 a)) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (* (* (- (* a a) 1) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 175 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (218 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* 4 (+ -1 a)) (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (- (* a a) 1) (- 9 (* a a)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* 4 (+ -1 a)) (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (- (* a a) 1) (- 9 (* a a)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 176 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (201 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))))) (* (* (+ 9 (* a (+ a 3))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))) (* (- 27 (pow a 3)) (+ a 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))))) (* (* (+ 9 (* a (+ a 3))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))) (* (- 27 (pow a 3)) (+ a 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 177 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ 3 a)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 9 (* a (+ a 3)))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (+ 12 (* a 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 9 (* a (+ a 3)))) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (* (+ a 1) (- 9 (* a a))) (+ (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 9 (* a (+ a 3)))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (+ 12 (* a 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 9 (* a (+ a 3)))) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (* (+ a 1) (- 9 (* a a))) (+ (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 178 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (213 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* (+ a 3) a))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))))) (* (* (+ (* a a) (- 1 a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ 1 (pow a 3)) (- 3 a))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* (+ a 3) a))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* (+ a 3) a))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))))) (* (* (+ (* a a) (- 1 a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ 1 (pow a 3)) (- 3 a))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* (+ a 3) a))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 179 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- a 1)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (205 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 9 (* (+ a 3) a))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (+ (* 4 a) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 9 (* (+ a 3) a))) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* (- 3 a) (+ (* a a) -1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 9 (* (+ a 3) a))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (+ (* 4 a) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 9 (* (+ a 3) a))) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* (- 3 a) (+ (* a a) -1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (- a 1))))) 1)) * * * * [misc]progress: [ 180 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a))))))) (* (+ (* (* (* a a) (* (* b b) 2)) (- (* (* a a) (* (* b b) 2)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) 4)) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))))) (* (* (- 3 a) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a))))))) (* (+ (* (* (* a a) (* (* b b) 2)) (- (* (* a a) (* (* b b) 2)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) 4)) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))))) (* (* (- 3 a) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 181 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* (+ a 3) a))) (+ 81 (* (* a a) (+ 9 (* a a))))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))) (* (* (- 3 a) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* (+ a 3) a))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* 4 (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* (+ a 3) a))) (+ 81 (* (* a a) (+ 9 (* a a))))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))) (* (* (- 3 a) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* (+ a 3) a))) (* (* (+ a 1) (* b b)) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* 4 (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 182 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (235 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (+ (* (+ a 3) a) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ 9 (* a a)) (* (- 27 (pow a 3)) (+ 1 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* (+ a 3) a) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* (+ a 3) a)))) (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (+ (* (+ a 3) a) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ 9 (* a a)) (* (- 27 (pow a 3)) (+ 1 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* (+ a 3) a) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* (+ a 3) a)))) (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 183 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (241 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (+ 9 (* a a)))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))))) (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (+ 9 (* a a)))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))))) (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 184 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (232 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))))) (* (* 4 (* (+ (* a (+ a 3)) 9) (+ a -1))) (+ (* (* (* (* b b) (* a a)) 2) (- (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ (* a (+ a 3)) 9) (+ 9 (* a a))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (- 27 (pow a 3)) (+ (* a a) -1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))))) (* (* 4 (* (+ (* a (+ a 3)) 9) (+ a -1))) (+ (* (* (* (* b b) (* a a)) 2) (- (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ (* a (+ a 3)) 9) (+ 9 (* a a))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (- 27 (pow a 3)) (+ (* a a) -1))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 185 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2)))) (* (* (+ 9 (* a a)) (+ (* a (+ a 3)) 9)) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (- 9 (* a a)) (- (* a a) 1)) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2))) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2)))) (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))))) (* (* 4 (* (+ a -1) (+ a 3))) (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2)))) (* (* (+ 9 (* a a)) (+ (* a (+ a 3)) 9)) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (- 9 (* a a)) (- (* a a) 1)) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2))) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2)))) (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))))) (* (* 4 (* (+ a -1) (+ a 3))) (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 186 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (* (* (* b b) (* a a)) 2) (- (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ 9 (* a a)) (* (- 27 (pow a 3)) (+ a 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (* (* (* b b) (* a a)) 2) (- (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ 9 (* a a)) (* (- 27 (pow a 3)) (+ a 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 187 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))))) (* (* 4 (+ a 3)) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (+ (* a (+ a 3)) 9) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a a))))) (* (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ a 1) (- 9 (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))))) (* (* 4 (+ a 3)) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (+ (* a (+ a 3)) 9) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a a))))) (* (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ a 1) (- 9 (* a a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 188 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (233 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 3 a) (+ 1 (pow a 3))) (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ (* (+ a 3) a) 9) (+ 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* (+ a 3) a) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 3 a) (+ 1 (pow a 3))) (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ (* (+ a 3) a) 9) (+ 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* (+ a 3) a) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 189 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))))) (* (* 4 (+ -1 a)) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (- 3 a) (+ (* a a) -1)) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))))) (* (* 4 (+ -1 a)) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (- 3 a) (+ (* a a) -1)) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 190 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (- (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (- 27 (pow a 3)) (+ 1 (pow a 3)))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a a))) (+ (* a (+ a 3)) 9))) (* (* (* (* (+ (- 1 a) (* a a)) (+ (* a (+ a 3)) 9)) (- (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) 4) (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (- (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (- 27 (pow a 3)) (+ 1 (pow a 3)))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a a))) (+ (* a (+ a 3)) 9))) (* (* (* (* (+ (- 1 a) (* a a)) (+ (* a (+ a 3)) 9)) (- (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) 4) (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 191 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (233 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (+ 9 (* a a)) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a))))) (* (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (- (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (+ 9 (* a a)) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a))))) (* (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (- (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 192 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (223 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (* (+ (* a (+ a 3)) 9) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a a)))))) (* (+ (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 27 (pow a 3))) (+ 9 (* a a)))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) (* (* 4 (* (+ -1 a) (+ 9 (* a (+ a 3))))) (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (+ (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (* (+ (* a (+ a 3)) 9) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a a)))))) (* (+ (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 27 (pow a 3))) (+ 9 (* a a)))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) (* (* 4 (* (+ -1 a) (+ 9 (* a (+ a 3))))) (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 193 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 9 (* a a)) (* (* a a) (- 27 (pow a 3)))) (- 1 (pow (* a a) 3))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (* 4 (* (+ a 3) (+ a -1))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ (* a (+ a 3)) 9) (+ 9 (* a a))))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 9 (* a a)) (* (* a a) (- 27 (pow a 3)))) (- 1 (pow (* a a) 3))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (* 4 (* (+ a 3) (+ a -1))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ (* a (+ a 3)) 9) (+ 9 (* a a))))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 194 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (213 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)) (* (* (+ 9 (* a a)) (+ (* a (+ a 3)) 9)) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (- 27 (pow a 3)) (+ a 1)) (* (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a))))))) (* (+ (* (* (+ 9 (* a a)) (- 1 (pow (* a a) 3))) (* (* a a) (- 27 (pow a 3)))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (- (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)) (* (* (+ 9 (* a a)) (+ (* a (+ a 3)) 9)) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (- 27 (pow a 3)) (+ a 1)) (* (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a))))))) (* (+ (* (* (+ 9 (* a a)) (- 1 (pow (* a a) 3))) (* (* a a) (- 27 (pow a 3)))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (- (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 195 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (219 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) (* (* (* 4 (+ a 3)) (- (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))))) (* (* (* (* (- 9 (* a a)) (+ a 1)) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (- (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (* (* (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) (* (* (* 4 (+ a 3)) (- (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))))) (* (* (* (* (- 9 (* a a)) (+ a 1)) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (- (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (* (* (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 196 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ 9 (* a a)) (* (- 3 a) (+ 1 (pow a 3)))) (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))))) (* (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (* 4 (+ (- 1 a) (* a a))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ 9 (* a a)) (* (- 3 a) (+ 1 (pow a 3)))) (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))))) (* (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (* 4 (+ (- 1 a) (* a a))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 197 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (216 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 27 (pow a 3))) (+ 9 (* a a)))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (* 4 (+ -1 a)) (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))))) (* (* (* (+ (* a a) -1) (- 3 a)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2)))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ (* a (+ a 3)) 9) (+ 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 27 (pow a 3))) (+ 9 (* a a)))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (* 4 (+ -1 a)) (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))))) (* (* (* (+ (* a a) -1) (- 3 a)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2)))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ (* a (+ a 3)) 9) (+ 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 198 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 9 (* a a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow (* a a) 3)))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (* (* (+ 9 (* a a)) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 9 (* a a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow (* a a) 3)))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (* (* (+ 9 (* a a)) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 199 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ (* a (+ a 3)) 9) (+ 9 (* a a)))) (* (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ (* a (+ a 3)) 9) (+ 9 (* a a)))) (* (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 200 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (203 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (* (- 27 (pow a 3)) (- (* a a) 1))) (* (* (* (+ 9 (* a a)) (+ (* a (+ a 3)) 9)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (* 4 (- a 1)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (* (- 27 (pow a 3)) (- (* a a) 1))) (* (* (* (+ 9 (* a a)) (+ (* a (+ a 3)) 9)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (* 4 (- a 1)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 201 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (208 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 9 (* a a)) (- 1 (pow (* a a) 3))) (* (* a a) (- 27 (pow a 3)))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) (* (* (* 4 (+ a 3)) (+ a -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3)))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (* (- 9 (* a a)) (- (* a a) 1))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ (* a (+ a 3)) 9) (+ 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 9 (* a a)) (- 1 (pow (* a a) 3))) (* (* a a) (- 27 (pow a 3)))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) (* (* (* 4 (+ a 3)) (+ a -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3)))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (* (- 9 (* a a)) (- (* a a) 1))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ (* a (+ a 3)) 9) (+ 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 202 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 9 (* a a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow (* a a) 3)))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (+ (* a (+ a 3)) 9) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ 9 (* a a)) (* (- 27 (pow a 3)) (+ a 1))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 9 (* a a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow (* a a) 3)))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (+ (* a (+ a 3)) 9) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ 9 (* a a)) (* (- 27 (pow a 3)) (+ a 1))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 203 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ 3 a)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (* (+ a 1) (- 9 (* a a)))) (* (* (* (+ 9 (* a a)) (+ (* a (+ a 3)) 9)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3)))) (* (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (+ 12 (* a 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (* (+ a 1) (- 9 (* a a)))) (* (* (* (+ 9 (* a a)) (+ (* a (+ a 3)) 9)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3)))) (* (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (+ 12 (* a 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 204 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) (* (* (+ (- 1 a) (* a a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (* (- 3 a) (+ 1 (pow a 3)))) (* (* (+ 9 (* a a)) (+ (* a (+ a 3)) 9)) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) (* (* (+ (- 1 a) (* a a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (* (- 3 a) (+ 1 (pow a 3)))) (* (* (+ 9 (* a a)) (+ (* a (+ a 3)) 9)) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 205 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- a 1)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 27 (pow a 3))) (+ 9 (* a a)))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (+ -1 a) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ (* a (+ a 3)) 9) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a a))))) (* (* (- 3 a) (- (* a a) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 27 (pow a 3))) (+ 9 (* a a)))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (+ -1 a) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ (* a (+ a 3)) 9) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a a))))) (* (* (- 3 a) (- (* a a) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (- a 1))))) 1)) * * * * [misc]progress: [ 206 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (220 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* 4 (+ (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 27 (pow a 3))) (+ 9 (* a a)))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (+ 9 (* a a)) (+ (* a (+ a 3)) 9)) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ a 1) (- 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* 4 (+ (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 27 (pow a 3))) (+ 9 (* a a)))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (+ 9 (* a a)) (+ (* a (+ a 3)) 9)) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ a 1) (- 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 207 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* 4 (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))))) (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ (* a (+ a 3)) 9) (+ 9 (* a a)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (* (* (+ a 1) (- 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (+ a 1) (* b b)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* 4 (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))))) (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ (* a (+ a 3)) 9) (+ 9 (* a a)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (* (* (+ a 1) (- 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 208 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (225 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (* b b) (- 9 (* a a))) (+ 1 (pow a 3))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (- 1 (* (pow a 3) (pow a 3)))) (* (- 27 (pow a 3)) (* a a))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ (* a (+ 3 a)) 9))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (* b b) (- 9 (* a a))) (+ 1 (pow a 3))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (- 1 (* (pow a 3) (pow a 3)))) (* (- 27 (pow a 3)) (* a a))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ (* a (+ 3 a)) 9))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 209 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (- 9 (* a a)) (* b b)) (+ 1 (pow a 3))) (* (+ (* a (+ 3 a)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (+ (* a a) (- 1 a)) (- 27 (pow a 3))) (* (* a a) (- 1 (* (pow a 3) (pow a 3))))))) (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b (* b 2))) (- (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* a (+ 3 a)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (+ (* a a) (- 1 a)) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (- 9 (* a a)) (* b b)) (+ 1 (pow a 3))) (* (+ (* a (+ 3 a)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (+ (* a a) (- 1 a)) (- 27 (pow a 3))) (* (* a a) (- 1 (* (pow a 3) (pow a 3))))))) (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b (* b 2))) (- (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* a (+ 3 a)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (+ (* a a) (- 1 a)) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 210 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (232 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- (* a a) 1) (- 27 (pow a 3)))) (* (* (+ (* a a) (- 1 a)) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ 1 (pow a 3)) (* (* b b) (- 9 (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (+ (* a a) (- 1 a)) (- 27 (pow a 3))) (* (* a a) (- 1 (* (pow a 3) (pow a 3))))))) (* (* 4 (* (- a 1) (+ 9 (* a (+ a 3))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4))) (* (* a a) (* (* b 2) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- (* a a) 1) (- 27 (pow a 3)))) (* (* (+ (* a a) (- 1 a)) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ 1 (pow a 3)) (* (* b b) (- 9 (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (+ (* a a) (- 1 a)) (- 27 (pow a 3))) (* (* a a) (- 1 (* (pow a 3) (pow a 3))))))) (* (* 4 (* (- a 1) (+ 9 (* a (+ a 3))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4))) (* (* a a) (* (* b 2) b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 211 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ 1 (pow a 3)) (* (* b b) (- 9 (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 27 (pow a 3)) (* a a)) (+ (* a a) (- 1 a)))))) (* (* 4 (* (+ -1 a) (+ 3 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4))) (* (* a a) (* b (* b 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ (* a (+ a 3)) 9) (+ (* a a) (- 1 a))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (- (* a a) 1) (- 9 (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ 1 (pow a 3)) (* (* b b) (- 9 (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 27 (pow a 3)) (* a a)) (+ (* a a) (- 1 a)))))) (* (* 4 (* (+ -1 a) (+ 3 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4))) (* (* a a) (* b (* b 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ (* a (+ a 3)) 9) (+ (* a a) (- 1 a))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (- (* a a) 1) (- 9 (* a a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 212 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (223 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 27 (pow a 3)) (+ a 1))) (* (* (+ (* a a) (- 1 a)) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ 1 (pow a 3)) (* (* b b) (- 9 (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 27 (pow a 3)) (* a a)) (+ (* a a) (- 1 a)))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 27 (pow a 3)) (+ a 1))) (* (* (+ (* a a) (- 1 a)) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ 1 (pow a 3)) (* (* b b) (- 9 (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 27 (pow a 3)) (* a a)) (+ (* a a) (- 1 a)))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 213 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 1 (pow a 3)) (* (* b b) (- 9 (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (* (- 27 (pow a 3)) (* a a))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ a 3)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))))))) (* (* (* (- 9 (* a a)) (+ a 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (+ (* a a) (- 1 a)) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 1 (pow a 3)) (* (* b b) (- 9 (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (* (- 27 (pow a 3)) (* a a))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ a 3)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))))))) (* (* (* (- 9 (* a a)) (+ a 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (+ (* a a) (- 1 a)) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 214 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) (- 1 a)) (+ (* a (+ a 3)) 9)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (- 3 a) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 1 (pow a 3)) (* (* b b) (- 9 (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (- 27 (pow a 3))) (* (* a a) (- 1 (* (pow a 3) (pow a 3))))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (* a a) (- 1 a)) (+ (* a (+ a 3)) 9)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (- 3 a) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 1 (pow a 3)) (* (* b b) (- 9 (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (- 27 (pow a 3))) (* (* a a) (- 1 (* (pow a 3) (pow a 3))))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 215 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ (* (+ a 3) a) 9) (+ (* a a) (- 1 a))))) (* (* (- 3 a) (- (* a a) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (* b b) (- 9 (* a a))) (+ 1 (pow a 3))) (* (+ (* (+ a 3) a) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 27 (pow a 3)) (* a a)) (+ (* a a) (- 1 a)))))) (* (* 4 (+ -1 a)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4))) (* (* a a) (* (* b 2) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ (* (+ a 3) a) 9) (+ (* a a) (- 1 a))))) (* (* (- 3 a) (- (* a a) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (* b b) (- 9 (* a a))) (+ 1 (pow a 3))) (* (+ (* (+ a 3) a) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 27 (pow a 3)) (* a a)) (+ (* a a) (- 1 a)))))) (* (* 4 (+ -1 a)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4))) (* (* a a) (* (* b 2) b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 216 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (217 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ (* a a) (- 1 a)) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a)))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (* (* 4 (* (* (+ (* a a) (- 1 a)) (+ (* a (+ a 3)) 9)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))) (+ (* (* (* (* b b) (- 9 (* a a))) (+ 1 (pow a 3))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (* (- 27 (pow a 3)) (* a a))) (- 1 (* (pow a 3) (pow a 3))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) (* b a)) a) 3))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (+ (* a a) (- 1 a)) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a)))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (* (* 4 (* (* (+ (* a a) (- 1 a)) (+ (* a (+ a 3)) 9)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))) (+ (* (* (* (* b b) (- 9 (* a a))) (+ 1 (pow a 3))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (* (- 27 (pow a 3)) (* a a))) (- 1 (* (pow a 3) (pow a 3))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) (* b a)) a) 3))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 217 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (223 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (+ (* a a) (- 1 a)) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* (* b 2) b)) (* (* a a) (* (* b 2) b)))))) (* (+ (* (* (+ 1 (pow a 3)) (* (- 9 (* a a)) (* b b))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (+ (* a a) (- 1 a)) (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))))) (* (* (* 4 (* (+ (* a a) (- 1 a)) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (+ (* a a) (- 1 a)) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* (* b 2) b)) (* (* a a) (* (* b 2) b)))))) (* (+ (* (* (+ 1 (pow a 3)) (* (- 9 (* a a)) (* b b))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (+ (* a a) (- 1 a)) (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))))) (* (* (* 4 (* (+ (* a a) (- 1 a)) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 218 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (* (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a))))) (* (* (- 27 (pow a 3)) (- (* a a) 1)) (* (+ (* a a) (- 1 a)) (* (+ (* a (+ 3 a)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))))) (* (+ (* (* (+ 1 (pow a 3)) (* (* b b) (- 9 (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 27 (pow a 3)) (* a a)) (+ (* a a) (- 1 a))))) (* (* 4 (* (+ -1 a) (+ 9 (* a (+ 3 a))))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a))))) (* (* (- 27 (pow a 3)) (- (* a a) 1)) (* (+ (* a a) (- 1 a)) (* (+ (* a (+ 3 a)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))))) (* (+ (* (* (+ 1 (pow a 3)) (* (* b b) (- 9 (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 27 (pow a 3)) (* a a)) (+ (* a a) (- 1 a))))) (* (* 4 (* (+ -1 a) (+ 9 (* a (+ 3 a))))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 219 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* a a) (- 1 a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* a (+ a 3)) 9))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b (* b 2))) (* (* a a) (* b (* b 2))))))) (* (+ (* (* (* (+ 1 (pow a 3)) b) (* b (- 9 (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 27 (pow a 3)) (* a a)) (+ (* a a) (- 1 a))))) (* (* (* 4 (* (+ a 3) (- a 1))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* a a) (- 1 a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* a (+ a 3)) 9))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b (* b 2))) (* (* a a) (* b (* b 2))))))) (* (+ (* (* (* (+ 1 (pow a 3)) b) (* b (- 9 (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 27 (pow a 3)) (* a a)) (+ (* a a) (- 1 a))))) (* (* (* 4 (* (+ a 3) (- a 1))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 220 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (- 9 (* a a))) (+ 1 (pow a 3))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (* (- 27 (pow a 3)) (* a a))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (* (+ a 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (- 9 (* a a))) (+ 1 (pow a 3))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (* (- 27 (pow a 3)) (* a a))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (* (+ a 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 221 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (* b b)) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (* (- 27 (pow a 3)) (* a a))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ a 3)) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ a 1) (- 9 (* a a))))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ (* a (+ a 3)) 9) (+ (* a a) (- 1 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (* b b)) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (* (- 27 (pow a 3)) (* a a))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ a 3)) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ a 1) (- 9 (* a a))))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ (* a (+ a 3)) 9) (+ (* a a) (- 1 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 222 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* b b) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (- 1 (* (pow a 3) (pow a 3)))) (* (- 27 (pow a 3)) (* a a)))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (+ (* a a) (- 1 a)) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))) (* (* (+ 1 (pow a 3)) (- 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* b b) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (- 1 (* (pow a 3) (pow a 3)))) (* (- 27 (pow a 3)) (* a a)))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (+ (* a a) (- 1 a)) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))) (* (* (+ 1 (pow a 3)) (- 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 223 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (217 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a))))) (* (- (* a a) 1) (- 3 a))) (* (* (+ (* a a) (- 1 a)) (* (+ (* (+ a 3) a) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (+ (* (* (+ 1 (pow a 3)) (* (* b b) (- 9 (* a a)))) (* (+ (* (+ a 3) a) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (- 27 (pow a 3))) (* (* a a) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ -1 a)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a))))) (* (- (* a a) 1) (- 3 a))) (* (* (+ (* a a) (- 1 a)) (* (+ (* (+ a 3) a) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (+ (* (* (+ 1 (pow a 3)) (* (* b b) (- 9 (* a a)))) (* (+ (* (+ a 3) a) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (- 27 (pow a 3))) (* (* a a) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ -1 a)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 224 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* a a) (- 1 a)) (* (+ (* (+ a 3) a) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))))) (* (+ (* (* (+ 1 (pow a 3)) (* (* b b) (- 9 (* a a)))) (* (+ (* (+ a 3) a) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (+ (* a a) (- 1 a)) (- 27 (pow a 3))) (* (* a a) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* (+ a 3) a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* a a) (- 1 a)) (* (+ (* (+ a 3) a) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))))) (* (+ (* (* (+ 1 (pow a 3)) (* (* b b) (- 9 (* a a)))) (* (+ (* (+ a 3) a) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (+ (* a a) (- 1 a)) (- 27 (pow a 3))) (* (* a a) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* (+ a 3) a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 225 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a a) (- 1 a)) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)) (* (+ 1 (pow a 3)) (- 9 (* a a))))) (* (+ (* (* (+ 1 (pow a 3)) (* (- 9 (* a a)) (* b b))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (- 1 (* (pow a 3) (pow a 3)))) (* (- 27 (pow a 3)) (* a a)))) (* (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a a) (- 1 a)) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)) (* (+ 1 (pow a 3)) (- 9 (* a a))))) (* (+ (* (* (+ 1 (pow a 3)) (* (- 9 (* a a)) (* b b))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (- 1 (* (pow a 3) (pow a 3)))) (* (- 27 (pow a 3)) (* a a)))) (* (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 226 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (203 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* b b) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (- 27 (pow a 3)) (* a a)) (* (+ (* a a) (- 1 a)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ -1 a)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3)) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (* (- 27 (pow a 3)) (+ (* a a) -1)))) (* (+ (* a a) (- 1 a)) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* b b) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (- 27 (pow a 3)) (* a a)) (* (+ (* a a) (- 1 a)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ -1 a)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3)) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (* (- 27 (pow a 3)) (+ (* a a) -1)))) (* (+ (* a a) (- 1 a)) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 227 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- a 1) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 1 (pow a 3)) (* (- 9 (* a a)) (* b b))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (- 1 (* (pow a 3) (pow a 3)))) (* (- 27 (pow a 3)) (* a a)))) (* (* 4 (* (+ -1 a) (+ a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (+ (* a a) (- 1 a)) (* (- 9 (* a a)) (+ (* a a) -1))) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 1 (pow a 3)) (* (- 9 (* a a)) (* b b))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (- 1 (* (pow a 3) (pow a 3)))) (* (- 27 (pow a 3)) (* a a)))) (* (* 4 (* (+ -1 a) (+ a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (+ (* a a) (- 1 a)) (* (- 9 (* a a)) (+ (* a a) -1))) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 228 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (* b b)) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (- 27 (pow a 3)) (* a a)) (* (+ (* a a) (- 1 a)) (- 1 (* (pow a 3) (pow a 3)))))) (* (+ (* 4 (* a (+ a 3))) 36) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ (* a a) (- 1 a)) (* (- 27 (pow a 3)) (+ a 1))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (* b b)) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (- 27 (pow a 3)) (* a a)) (* (+ (* a a) (- 1 a)) (- 1 (* (pow a 3) (pow a 3)))))) (* (+ (* 4 (* a (+ a 3))) 36) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ (* a a) (- 1 a)) (* (- 27 (pow a 3)) (+ a 1))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 229 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (+ 3 a)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 1 (pow a 3)) (* (- 9 (* a a)) (* b b))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (+ (* a a) (- 1 a)) (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))))) (* (+ 12 (* 4 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (* a a) (- 1 a)) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* (+ a 1) (- 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 1 (pow a 3)) (* (- 9 (* a a)) (* b b))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (+ (* a a) (- 1 a)) (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))))) (* (+ 12 (* 4 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (* a a) (- 1 a)) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* (+ a 1) (- 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 230 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (- 9 (* a a))) (+ 1 (pow a 3))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (* (- 27 (pow a 3)) (* a a))) (- 1 (* (pow a 3) (pow a 3))))) (* (* 4 (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ 1 (pow a 3)) (- 3 a)))) (* (+ (* a a) (- 1 a)) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (- 9 (* a a))) (+ 1 (pow a 3))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (* (- 27 (pow a 3)) (* a a))) (- 1 (* (pow a 3) (pow a 3))))) (* (* 4 (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ 1 (pow a 3)) (- 3 a)))) (* (+ (* a a) (- 1 a)) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 231 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (- a 1)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* a a) (- 1 a)) (* (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))))) (* (* (+ (* a a) -1) (- 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (* b b)) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (+ (* a a) (- 1 a)) (- 1 (* (pow a 3) (pow a 3)))) (* (- 27 (pow a 3)) (* a a)))) (* (* 4 (+ a -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* a a) (- 1 a)) (* (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))))) (* (* (+ (* a a) -1) (- 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (* b b)) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (+ (* a a) (- 1 a)) (- 1 (* (pow a 3) (pow a 3)))) (* (- 27 (pow a 3)) (* a a)))) (* (* 4 (+ a -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (- a 1))))) 1)) * * * * [misc]progress: [ 232 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (* (- 3 a) (+ a 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* (* (* b b) (- 9 (* a a))) (+ 1 (pow a 3))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (- 27 (pow a 3)) (* a a)) (* (+ (* a a) (- 1 a)) (- 1 (* (pow a 3) (pow a 3))))))) (* (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))) 4))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (* (- 3 a) (+ a 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* (* (* b b) (- 9 (* a a))) (+ 1 (pow a 3))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (- 27 (pow a 3)) (* a a)) (* (+ (* a a) (- 1 a)) (- 1 (* (pow a 3) (pow a 3))))))) (* (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))) 4))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 233 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (* (- 3 a) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (* (* (* b b) (- 9 (* a a))) (+ 1 (pow a 3))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (- 27 (pow a 3)) (* a a)) (* (+ (* a a) (- 1 a)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (* (- 3 a) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (* (* (* b b) (- 9 (* a a))) (+ 1 (pow a 3))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (- 27 (pow a 3)) (* a a)) (* (+ (* a a) (- 1 a)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 234 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (219 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ (* a a) -1) (* b b)) (- 9 (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))) (* (* (* a a) (- 27 (pow a 3))) (* (+ -1 a) (- 1 (pow (* a a) 3)))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (+ (* (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 9 (* a (+ a 3))) (+ -1 a)))) (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ (* a a) -1) (* b b)) (- 9 (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))) (* (* (* a a) (- 27 (pow a 3))) (* (+ -1 a) (- 1 (pow (* a a) 3)))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (+ (* (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 9 (* a (+ a 3))) (+ -1 a)))) (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 235 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (225 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))) (* (* (+ -1 a) (- 27 (pow a 3))) (* (- 1 (pow (* a a) 3)) (* a a))))) (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (* (* (* (+ -1 a) (+ 9 (* a (+ a 3)))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))) (* (* (+ -1 a) (- 27 (pow a 3))) (* (- 1 (pow (* a a) 3)) (* a a))))) (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (* (* (* (+ -1 a) (+ 9 (* a (+ a 3)))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 236 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))) (* (+ a -1) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))))) (* (* 4 (* (+ 9 (* a (+ a 3))) (+ a -1))) (+ (* (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* 2 (* (* a a) (* b b)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (- (* a a) 1) (- 27 (pow a 3)))) (* (* (* (+ a -1) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))) (* (+ a -1) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))))) (* (* 4 (* (+ 9 (* a (+ a 3))) (+ a -1))) (+ (* (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* 2 (* (* a a) (* b b)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (- (* a a) 1) (- 27 (pow a 3)))) (* (* (* (+ a -1) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 237 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))) (* (* (+ a -1) (- 1 (pow (* a a) 3))) (* (- 27 (pow a 3)) (* a a))))) (* (* 4 (* (+ a -1) (+ 3 a))) (+ (* (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* 2 (* (* a a) (* b b)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 9 (* a a)) (- (* a a) 1))) (* (* (* (+ a -1) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (+ 9 (* a (+ 3 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))) (* (* (+ a -1) (- 1 (pow (* a a) 3))) (* (- 27 (pow a 3)) (* a a))))) (* (* 4 (* (+ a -1) (+ 3 a))) (+ (* (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* 2 (* (* a a) (* b b)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 9 (* a a)) (- (* a a) 1))) (* (* (* (+ a -1) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (+ 9 (* a (+ 3 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 238 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (- 9 (* a a)) (- (* a a) 1)) (* b b)) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))) (* (- a 1) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a)))))) (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* 2 (* (* a a) (* b b)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 9 (* a (+ a 3))) (- a 1)))) (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ a 1) (- 27 (pow a 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (- 9 (* a a)) (- (* a a) 1)) (* b b)) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))) (* (- a 1) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a)))))) (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* 2 (* (* a a) (* b b)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 9 (* a (+ a 3))) (- a 1)))) (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ a 1) (- 27 (pow a 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 239 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (213 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (- 9 (* a a)) (- (* a a) 1)) (* b b)) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))) (* (+ a -1) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a)))))) (* (* 4 (+ a 3)) (+ (* (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* 2 (* (* a a) (* b b)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))) (* (* (+ a -1) (* (- 9 (* a a)) (+ a 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (- 9 (* a a)) (- (* a a) 1)) (* b b)) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))) (* (+ a -1) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a)))))) (* (* 4 (+ a 3)) (+ (* (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* 2 (* (* a a) (* b b)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))) (* (* (+ a -1) (* (- 9 (* a a)) (+ a 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 240 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (217 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))) (* (* (+ a -1) (- 27 (pow a 3))) (* (- 1 (pow (* a a) 3)) (* a a))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 9 (* a (+ a 3))) (+ a -1)))) (* (* (- 3 a) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))) (* (* (+ a -1) (- 27 (pow a 3))) (* (- 1 (pow (* a a) 3)) (* a a))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 9 (* a (+ a 3))) (+ a -1)))) (* (* (- 3 a) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 241 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (- 9 (* a a)) (- (* a a) 1)) (* b b)) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))) (* (+ -1 a) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))))) (* (* 4 (+ -1 a)) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))) (* (* (+ -1 a) (* (- (* a a) 1) (- 3 a))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (- 9 (* a a)) (- (* a a) 1)) (* b b)) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))) (* (+ -1 a) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))))) (* (* 4 (+ -1 a)) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))) (* (* (+ -1 a) (* (- (* a a) 1) (- 3 a))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 242 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (211 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (+ -1 a) (* (- 27 (pow a 3)) (+ 1 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a))))))) (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))) (* (- 1 (pow (* a a) 3)) (* (* (- 27 (pow a 3)) (* a a)) (+ -1 a)))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (+ -1 a) (* (- 27 (pow a 3)) (+ 1 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a))))))) (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))) (* (- 1 (pow (* a a) 3)) (* (* (- 27 (pow a 3)) (* a a)) (+ -1 a)))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 243 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (217 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3)))) (+ -1 a))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))) (* (* (+ -1 a) (* (- 27 (pow a 3)) (* a a))) (- 1 (pow (* a a) 3)))) (* (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3)))) (+ -1 a))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))) (* (* (+ -1 a) (* (- 27 (pow a 3)) (* a a))) (- 1 (pow (* a a) 3)))) (* (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 244 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (201 enodes) * [exit]simplify: Simplified to (* (+ (* (* (- (* a a) 1) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a)))) (* (- 27 (pow a 3)) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ 9 (* a (+ a 3))) (- a 1))))) (* (+ (* (* (* (- 9 (* a a)) (- (* a a) 1)) (* b b)) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))) (* (- a 1) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))))) (* (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ 9 (* a (+ a 3))) (- a 1))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (- (* a a) 1) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a)))) (* (- 27 (pow a 3)) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ 9 (* a (+ a 3))) (- a 1))))) (* (+ (* (* (* (- 9 (* a a)) (- (* a a) 1)) (* b b)) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))) (* (- a 1) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))))) (* (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ 9 (* a (+ a 3))) (- a 1))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 245 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- a 1) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ 9 (* a (+ a 3))))) (* (* (- (* a a) 1) (- 9 (* a a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (* (- (* a a) 1) b) (* b (- 9 (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 27 (pow a 3))) (- a 1)))) (* (* (* 4 (* (- a 1) (+ a 3))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- a 1) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ 9 (* a (+ a 3))))) (* (* (- (* a a) 1) (- 9 (* a a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (* (- (* a a) 1) b) (* b (- 9 (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 27 (pow a 3))) (- a 1)))) (* (* (* 4 (* (- a 1) (+ a 3))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 246 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 27 (pow a 3))) (- a 1)))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3)))) (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ 9 (* a (+ a 3))) (- a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))) (* (* (- 27 (pow a 3)) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 27 (pow a 3))) (- a 1)))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3)))) (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ 9 (* a (+ a 3))) (- a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))) (* (* (- 27 (pow a 3)) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 247 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (205 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))) (* (+ a -1) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ a -1) (+ 9 (* a (+ a 3)))) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (- 9 (* a a)) (+ a 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))) (* (+ a -1) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ a -1) (+ 9 (* a (+ a 3)))) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (- 9 (* a a)) (+ a 1))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 248 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))) (* (* (+ -1 a) (- 27 (pow a 3))) (* (- 1 (pow (* a a) 3)) (* a a)))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (+ -1 a)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (* (+ 1 (pow a 3)) (- 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))) (* (* (+ -1 a) (- 27 (pow a 3))) (* (- 1 (pow (* a a) 3)) (* a a)))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (+ -1 a)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (* (+ 1 (pow a 3)) (- 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 249 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))) (* (- a 1) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))))) (* (* (* 4 (- a 1)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))) (* (* (- a 1) (* (- (* a a) 1) (- 3 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))) (* (- a 1) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))))) (* (* (* 4 (- a 1)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))) (* (* (- a 1) (* (- (* a a) 1) (- 3 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 250 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (- 27 (pow a 3)) (+ 1 (pow a 3))))) (* (* (+ -1 a) (+ 9 (* a (+ a 3)))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))) (* (+ -1 a) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (- 27 (pow a 3)) (+ 1 (pow a 3))))) (* (* (+ -1 a) (+ 9 (* a (+ a 3)))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))) (* (+ -1 a) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 251 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- (* a a) 1) (* (* b b) (- 9 (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a))))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 27 (pow a 3))) (+ a -1)))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)))) (* (* (* (+ a -1) (+ 9 (* a (+ 3 a)))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- (* a a) 1) (* (* b b) (- 9 (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a))))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 27 (pow a 3))) (+ a -1)))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)))) (* (* (* (+ a -1) (+ 9 (* a (+ 3 a)))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 252 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 9 (* (+ a 3) a)) (- a 1)) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (* (* (* (- (* a a) 1) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (* b b) (- 9 (* a a))) (- (* a a) 1)) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* (+ a 3) a)))) (* (- a 1) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))))) (* (* (* 4 (- a 1)) (+ 9 (* (+ a 3) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 9 (* (+ a 3) a)) (- a 1)) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (* (* (* (- (* a a) 1) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (* b b) (- 9 (* a a))) (- (* a a) 1)) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* (+ a 3) a)))) (* (- a 1) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))))) (* (* (* 4 (- a 1)) (+ 9 (* (+ a 3) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 253 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- a 1) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (- (* a a) 1) (- 9 (* a a))))) (* (+ 9 (* a (+ a 3))) (* (- a 1) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))) (* (- a 1) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))))) (* (* (* (+ a 3) (- a 1)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (- (* a a) 1) (- 9 (* a a))))) (* (+ 9 (* a (+ a 3))) (* (- a 1) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))) (* (- a 1) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))))) (* (* (* (+ a 3) (- a 1)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 254 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (- 27 (pow a 3)) (+ a 1)) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 9 (* (+ a 3) a)) (- a 1))))) (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* (+ a 3) a)))) (* (* (- 27 (pow a 3)) (* a a)) (* (- a 1) (- 1 (pow (* a a) 3))))) (* (+ 36 (* 4 (* (+ a 3) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (- 27 (pow a 3)) (+ a 1)) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 9 (* (+ a 3) a)) (- a 1))))) (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* (+ a 3) a)))) (* (* (- 27 (pow a 3)) (* a a)) (* (- a 1) (- 1 (pow (* a a) 3))))) (* (+ 36 (* 4 (* (+ a 3) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 255 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (+ 3 a)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (184 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (* (+ a 1) (- 9 (* a a))))) (* (+ 9 (* a (+ a 3))) (* (+ -1 a) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))) (* (* (+ -1 a) (* (* a a) (- 27 (pow a 3)))) (- 1 (pow (* a a) 3)))) (* (+ 12 (* a 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (* (+ a 1) (- 9 (* a a))))) (* (+ 9 (* a (+ a 3))) (* (+ -1 a) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))) (* (* (+ -1 a) (* (* a a) (- 27 (pow a 3)))) (- 1 (pow (* a a) 3)))) (* (+ 12 (* a 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (+ 3 a))))) 1)) * * * * [misc]progress: [ 256 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (* (+ -1 a) (* (+ 1 (pow a 3)) (- 3 a))) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (+ (* a a) -1) (* b b)) (- 9 (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))) (* (* (+ -1 a) (- 1 (pow (* a a) 3))) (* (* a a) (- 27 (pow a 3))))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (* (+ -1 a) (* (+ 1 (pow a 3)) (- 3 a))) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (+ (* a a) -1) (* b b)) (- 9 (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))) (* (* (+ -1 a) (- 1 (pow (* a a) 3))) (* (* a a) (- 27 (pow a 3))))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 257 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (- a 1)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- (* a a) 1) (* (* b b) (- 9 (* a a)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))) (* (* (+ -1 a) (* (- 27 (pow a 3)) (* a a))) (- 1 (pow (* a a) 3)))) (* (+ (* 4 a) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (* (+ -1 a) (* (- 3 a) (- (* a a) 1))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- (* a a) 1) (* (* b b) (- 9 (* a a)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))) (* (* (+ -1 a) (* (- 27 (pow a 3)) (* a a))) (- 1 (pow (* a a) 3)))) (* (+ (* 4 a) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (* (+ -1 a) (* (- 3 a) (- (* a a) 1))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (- a 1))))) 1)) * * * * [misc]progress: [ 258 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))) (* (* (+ -1 a) (- 1 (pow (* a a) 3))) (* (* a a) (- 27 (pow a 3)))))) (* 4 (+ (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (+ a 1) (- 3 a)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (+ 9 (* a (+ a 3))) (* (+ -1 a) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))) (* (* (+ -1 a) (- 1 (pow (* a a) 3))) (* (* a a) (- 27 (pow a 3)))))) (* 4 (+ (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (+ a 1) (- 3 a)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (+ 9 (* a (+ a 3))) (* (+ -1 a) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 259 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (+ -1 a))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a))))) (* (+ a 1) (- 3 a)))) (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))) (* (+ -1 a) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))))) (* (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (+ -1 a))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a))))) (* (+ a 1) (- 3 a)))) (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))) (* (+ -1 a) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))))) (* (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 260 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (230 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (- 1 (pow a 4)) (* (* a a) (- 27 (pow a 3)))) (* (+ (* 9 (* a a)) (+ (pow a 4) 81)) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3))))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9))) (* (* (* (+ (* 9 (* a a)) (+ (pow a 4) 81)) (+ (* a a) (- 1 a))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (- 1 (pow a 4)) (* (* a a) (- 27 (pow a 3)))) (* (+ (* 9 (* a a)) (+ (pow a 4) 81)) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3))))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9))) (* (* (* (+ (* 9 (* a a)) (+ (pow a 4) 81)) (+ (* a a) (- 1 a))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 261 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9))) (* (* (* (+ (* 9 (* a a)) (+ (pow a 4) 81)) (+ (* a a) (- 1 a))) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ (* 9 (* a a)) (+ (pow a 4) 81)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3))))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ a 3))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9))) (* (* (* (+ (* 9 (* a a)) (+ (pow a 4) 81)) (+ (* a a) (- 1 a))) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ (* 9 (* a a)) (+ (pow a 4) 81)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3))))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ a 3))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 262 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (237 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* a a) 1) (- 27 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (+ (* 9 (* a a)) (+ (pow a 4) 81)) (* (+ (* (+ a 3) a) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (- 1 (pow a 4)) (- 27 (pow a 3))) (* a a)) (* (+ (* 9 (* a a)) (+ (pow a 4) 81)) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* (+ a 3) a) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3))))))) (* (* 4 (* (+ -1 a) (+ 9 (* (+ a 3) a)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (* a a) 1) (- 27 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (+ (* 9 (* a a)) (+ (pow a 4) 81)) (* (+ (* (+ a 3) a) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (- 1 (pow a 4)) (- 27 (pow a 3))) (* a a)) (* (+ (* 9 (* a a)) (+ (pow a 4) 81)) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* (+ a 3) a) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3))))))) (* (* 4 (* (+ -1 a) (+ 9 (* (+ a 3) a)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 263 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (243 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (* a a) (- 1 (pow a 4))) (- 27 (pow a 3))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3))))))) (* (* 4 (* (+ a 3) (+ -1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))))) (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 9 (* a a)) (- (* a a) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (* a a) (- 1 (pow a 4))) (- 27 (pow a 3))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3))))))) (* (* 4 (* (+ a 3) (+ -1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))))) (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 9 (* a a)) (- (* a a) 1))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 264 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (228 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3))))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))))))) (* (* (* (+ a 1) (- 27 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3))))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))))))) (* (* (* (+ a 1) (- 27 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 265 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (234 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (* 9 (* a a)) (+ (pow a 4) 81))))) (* (* (- 9 (* a a)) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ (* 9 (* a a)) (+ (pow a 4) 81))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3))))))) (* (* 4 (+ a 3)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (* 9 (* a a)) (+ (pow a 4) 81))))) (* (* (- 9 (* a a)) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ (* 9 (* a a)) (+ (pow a 4) 81))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3))))))) (* (* 4 (+ a 3)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 266 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* a a) (* (- 27 (pow a 3)) (- 1 (pow a 4)))) (* (+ (* a (* a 9)) (+ (pow a 4) 81)) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3))))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))) (+ (* a (* a 9)) (+ (pow a 4) 81)))) (* (* (+ 1 (pow a 3)) (- 3 a)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* a a) (* (- 27 (pow a 3)) (- 1 (pow a 4)))) (* (+ (* a (* a 9)) (+ (pow a 4) 81)) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3))))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))) (+ (* a (* a 9)) (+ (pow a 4) 81)))) (* (* (+ 1 (pow a 3)) (- 3 a)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 267 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (230 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a)))) (+ (* 9 (* a a)) (+ (pow a 4) 81))) (* (* (+ 1 (* a a)) (+ (* (+ a 3) a) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3))))))) (* (* 4 (+ a -1)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 1 (* a a)) (+ (* (+ a 3) a) 9))) (* (* (* (+ (* 9 (* a a)) (+ (pow a 4) 81)) (+ (* a a) (- 1 a))) (* (- 3 a) (+ (* a a) -1))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a)))) (+ (* 9 (* a a)) (+ (pow a 4) 81))) (* (* (+ 1 (* a a)) (+ (* (+ a 3) a) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3))))))) (* (* 4 (+ a -1)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 1 (* a a)) (+ (* (+ a 3) a) 9))) (* (* (* (+ (* 9 (* a a)) (+ (pow a 4) 81)) (+ (* a a) (- 1 a))) (* (- 3 a) (+ (* a a) -1))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 268 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (- 1 (pow a 4)) (* (* a a) (- 27 (pow a 3)))) (* (+ (+ (pow a 4) 81) (* a (* a 9))) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ (* a (+ a 3)) 9) (+ (* a a) (- 1 a)))) 4)) (* (* (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (+ (pow a 4) 81) (* a (* a 9))))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (* (- 1 (pow a 4)) (* (* a a) (- 27 (pow a 3)))) (* (+ (+ (pow a 4) 81) (* a (* a 9))) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ (* a (+ a 3)) 9) (+ (* a a) (- 1 a)))) 4)) (* (* (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (+ (pow a 4) 81) (* a (* a 9))))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 269 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (228 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* a a) (* (- 27 (pow a 3)) (- 1 (pow a 4)))) (* (+ (* 9 (* a a)) (+ (pow a 4) 81)) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (* 9 (* a a)) (+ (pow a 4) 81))) (+ (* a (+ a 3)) 9))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (* (+ 1 (pow a 3)) (- 9 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* a a) (* (- 27 (pow a 3)) (- 1 (pow a 4)))) (* (+ (* 9 (* a a)) (+ (pow a 4) 81)) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (* 9 (* a a)) (+ (pow a 4) 81))) (+ (* a (+ a 3)) 9))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (* (+ 1 (pow a 3)) (- 9 (* a a))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 270 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))) (* (* 4 (* (+ (* a (+ a 3)) 9) (- a 1))) (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))))) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a))))) (* (* (* (- 27 (pow a 3)) (- (* a a) 1)) (+ (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a))))) (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))) (* (* 4 (* (+ (* a (+ a 3)) 9) (- a 1))) (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))))) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a))))) (* (* (* (- 27 (pow a 3)) (- (* a a) 1)) (+ (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a))))) (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 271 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (234 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))) (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a))))) (* (+ (* (* a 9) a) (+ (pow a 4) 81)) (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))))) (* (* (+ (* a a) -1) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* a a) (* (- 27 (pow a 3)) (- 1 (pow a 4)))) (* (+ (* (* a 9) a) (+ (pow a 4) 81)) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (* (+ a 3) (- a 1))) (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))) (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a))))) (* (+ (* (* a 9) a) (+ (pow a 4) 81)) (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))))) (* (* (+ (* a a) -1) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* a a) (* (- 27 (pow a 3)) (- 1 (pow a 4)))) (* (+ (* (* a 9) a) (+ (pow a 4) 81)) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (* (+ a 3) (- a 1))) (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 272 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (220 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (+ (pow a 4) 81) (* a (* a 9))))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))) (* (* (- 27 (pow a 3)) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (* (- 1 (pow a 4)) (* (* a a) (- 27 (pow a 3)))) (* (+ (+ (pow a 4) 81) (* a (* a 9))) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (- (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (+ (pow a 4) 81) (* a (* a 9))))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))) (* (* (- 27 (pow a 3)) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (* (- 1 (pow a 4)) (* (* a a) (- 27 (pow a 3)))) (* (+ (+ (pow a 4) 81) (* a (* a 9))) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (- (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 273 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* a a) (* (- 27 (pow a 3)) (- 1 (pow a 4)))) (* (+ (* 9 (* a a)) (+ (pow a 4) 81)) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ a 3)) (- (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a))) (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (* 9 (* a a)) (+ (pow a 4) 81))))) (* (* (- 9 (* a a)) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* a a) (* (- 27 (pow a 3)) (- 1 (pow a 4)))) (* (+ (* 9 (* a a)) (+ (pow a 4) 81)) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ a 3)) (- (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a))) (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (* 9 (* a a)) (+ (pow a 4) 81))))) (* (* (- 9 (* a a)) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 274 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (220 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9))) (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* a a) (- 1 a))) (* (- 3 a) (+ 1 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ (* a a) (- 1 a))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9))) (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* a a) (- 1 a))) (* (- 3 a) (+ 1 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ (* a a) (- 1 a))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 275 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 3 a) (- (* a a) 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (* (+ (* 9 (* a a)) (+ (pow a 4) 81)) (* (+ (* (+ a 3) a) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)))) (* (+ (* (* (- 1 (pow a 4)) (* (* a a) (- 27 (pow a 3)))) (* (+ (* 9 (* a a)) (+ (pow a 4) 81)) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* (+ a 3) a) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ a -1)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 3 a) (- (* a a) 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (* (+ (* 9 (* a a)) (+ (pow a 4) 81)) (* (+ (* (+ a 3) a) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)))) (* (+ (* (* (- 1 (pow a 4)) (* (* a a) (- 27 (pow a 3)))) (* (+ (* 9 (* a a)) (+ (pow a 4) 81)) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* (+ a 3) a) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ a -1)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 276 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (201 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (* (+ a 3) a) 9) (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (+ 81 (pow a 4)) (* a (* a 9)))))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (- 1 (pow a 4)) (- 27 (pow a 3))) (* a a)) (* (+ (+ 81 (pow a 4)) (* a (* a 9))) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* (+ a 3) a) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* (+ a 3) a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (* (+ a 3) a) 9) (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (+ 81 (pow a 4)) (* a (* a 9)))))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (- 1 (pow a 4)) (- 27 (pow a 3))) (* a a)) (* (+ (+ 81 (pow a 4)) (* a (* a 9))) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* (+ a 3) a) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* (+ a 3) a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 277 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (* 9 (* a a)) (+ (pow a 4) 81))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (- 1 (pow a 4)) (* (* a a) (- 27 (pow a 3)))) (* (+ (* 9 (* a a)) (+ (pow a 4) 81)) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (* 9 (* a a)) (+ (pow a 4) 81))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (- 1 (pow a 4)) (* (* a a) (- 27 (pow a 3)))) (* (+ (* 9 (* a a)) (+ (pow a 4) 81)) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 278 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 27 (pow a 3)) (- (* a a) 1)) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (+ (pow a 4) 81) (* a (* a 9)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (- 27 (pow a 3)) (* (* a a) (- 1 (pow a 4)))) (* (+ (+ (pow a 4) 81) (* a (* a 9))) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ a -1)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 27 (pow a 3)) (- (* a a) 1)) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (+ (pow a 4) 81) (* a (* a 9)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (- 27 (pow a 3)) (* (* a a) (- 1 (pow a 4)))) (* (+ (+ (pow a 4) 81) (* a (* a 9))) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ a -1)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 279 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (213 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (* 9 (* a a)) (+ (pow a 4) 81)))) (* (* (* (- 9 (* a a)) (- (* a a) 1)) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (- 27 (pow a 3)) (* (* a a) (- 1 (pow a 4)))) (* (+ (* 9 (* a a)) (+ (pow a 4) 81)) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* (+ a 3) (+ -1 a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (* 9 (* a a)) (+ (pow a 4) 81)))) (* (* (* (- 9 (* a a)) (- (* a a) 1)) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (- 27 (pow a 3)) (* (* a a) (- 1 (pow a 4)))) (* (+ (* 9 (* a a)) (+ (pow a 4) 81)) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* (+ a 3) (+ -1 a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 280 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* (+ (* (+ a 3) a) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))))) (* (* (+ a 1) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (* (+ (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))))) (* (* (+ 1 (* a a)) (+ (* (+ a 3) a) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))) (* (+ 36 (* 4 (* (+ a 3) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* (+ (* (+ a 3) a) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))))) (* (* (+ a 1) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (* (+ (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))))) (* (* (+ 1 (* a a)) (+ (* (+ a 3) a) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))) (* (+ 36 (* 4 (* (+ a 3) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 281 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ 3 a)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (205 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* a a) (* (- 27 (pow a 3)) (- 1 (pow a 4)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))) (* (+ 12 (* 4 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ a 1) (- 9 (* a a)))) (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (+ (pow a 4) 81) (* 9 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* a a) (* (- 27 (pow a 3)) (- 1 (pow a 4)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))) (* (+ 12 (* 4 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ a 1) (- 9 (* a a)))) (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (+ (pow a 4) 81) (* 9 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 282 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 3 a) (+ 1 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))) (* (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (+ (* (+ a 3) a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (* a a) (* (- 27 (pow a 3)) (- 1 (pow a 4)))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* (+ a 3) a) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (+ (* a a) (- 1 a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 3 a) (+ 1 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))) (* (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (+ (* (+ a 3) a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (* a a) (* (- 27 (pow a 3)) (- 1 (pow a 4)))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* (+ a 3) a) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (+ (* a a) (- 1 a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 283 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- a 1)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ (* (* a 9) a) (+ (pow a 4) 81))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (+ a -1) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)))) (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (- (* a a) 1) (- 3 a))) (* (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))) (+ (* (* a 9) a) (+ (pow a 4) 81)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ (* (* a 9) a) (+ (pow a 4) 81))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (+ a -1) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)))) (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (- (* a a) 1) (- 3 a))) (* (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))) (+ (* (* a 9) a) (+ (pow a 4) 81)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (- a 1))))) 1)) * * * * [misc]progress: [ 284 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))))) (* 4 (+ (* (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))))) (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a))))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (+ a 1) (- 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))))) (* 4 (+ (* (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))))) (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a))))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (+ a 1) (- 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 285 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (* a (* a 9)) (+ (pow a 4) 81))) (+ (* a (+ a 3)) 9))) (* (* (- 3 a) (+ a 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a))))) (* (+ (* (* (* a a) (* (- 27 (pow a 3)) (- 1 (pow a 4)))) (* (+ (* a (* a 9)) (+ (pow a 4) 81)) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (* a (* a 9)) (+ (pow a 4) 81))) (+ (* a (+ a 3)) 9))) (* (* (- 3 a) (+ a 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a))))) (* (+ (* (* (* a a) (* (- 27 (pow a 3)) (- 1 (pow a 4)))) (* (+ (* a (* a 9)) (+ (pow a 4) 81)) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 286 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ 1 (pow a 3)) b) (* b (- 81 (pow a 4)))) (* (+ 1 (* a a)) (+ (* (+ a 3) a) 9))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (* a a) (- 27 (pow a 3)))) (- 1 (pow a 4))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* (+ a 3) a)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 1 (* a a)) (+ (* (+ a 3) a) 9))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ 1 (pow a 3)) b) (* b (- 81 (pow a 4)))) (* (+ 1 (* a a)) (+ (* (+ a 3) a) 9))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (* a a) (- 27 (pow a 3)))) (- 1 (pow a 4))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* (+ a 3) a)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 1 (* a a)) (+ (* (+ a 3) a) 9))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 287 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (220 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (* b b) (- 81 (pow a 4))) (+ 1 (pow a 3))) (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))))) (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (* b b) (- 81 (pow a 4))) (+ 1 (pow a 3))) (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))))) (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 288 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (+ (* (+ a 3) a) 9)) (+ 1 (* a a))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (- (* a a) 1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (+ a 3) a) 9) (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (* b b) (- 81 (pow a 4))))) (* (- 1 (pow a 4)) (* (* (* a a) (- 27 (pow a 3))) (* (+ 9 (* a a)) (+ (* a a) (- 1 a))))))) (* (* 4 (* (+ a -1) (+ 9 (* (+ a 3) a)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (+ (* (+ a 3) a) 9)) (+ 1 (* a a))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (- (* a a) 1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (+ a 3) a) 9) (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (* b b) (- 81 (pow a 4))))) (* (- 1 (pow a 4)) (* (* (* a a) (- 27 (pow a 3))) (* (+ 9 (* a a)) (+ (* a a) (- 1 a))))))) (* (* 4 (* (+ a -1) (+ 9 (* (+ a 3) a)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 289 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))) (+ 9 (* a a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (+ (* a a) -1) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (* b b) (- 81 (pow a 4))))) (* (+ 9 (* a a)) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))))))) (* (* 4 (* (+ a 3) (+ -1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))) (+ 9 (* a a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (+ (* a a) -1) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (* b b) (- 81 (pow a 4))))) (* (+ 9 (* a a)) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))))))) (* (* 4 (* (+ a 3) (+ -1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 290 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (+ a 3) a) 9) (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (* b b) (- 81 (pow a 4))))) (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (pow a 4)) (+ 9 (* a a))) (+ (* a a) (- 1 a)))))) (* (* 4 (+ (* (+ a 3) a) 9)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))))) (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 27 (pow a 3)) (+ a 1))) (* (* (+ 1 (* a a)) (* (+ (* (+ a 3) a) 9) (* (+ 9 (* a a)) (+ (* a a) (- 1 a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (+ a 3) a) 9) (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (* b b) (- 81 (pow a 4))))) (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (pow a 4)) (+ 9 (* a a))) (+ (* a a) (- 1 a)))))) (* (* 4 (+ (* (+ a 3) a) 9)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))))) (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 27 (pow a 3)) (+ a 1))) (* (* (+ 1 (* a a)) (* (+ (* (+ a 3) a) 9) (* (+ 9 (* a a)) (+ (* a a) (- 1 a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 291 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (218 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (- 9 (* a a)) (+ a 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (+ 1 (pow a 3))))) (* (- 1 (pow a 4)) (* (* (* a a) (- 27 (pow a 3))) (* (+ 9 (* a a)) (+ (* a a) (- 1 a))))))) (* (* 4 (+ a 3)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (- 9 (* a a)) (+ a 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (+ 1 (pow a 3))))) (* (- 1 (pow a 4)) (* (* (* a a) (- 27 (pow a 3))) (* (+ 9 (* a a)) (+ (* a a) (- 1 a))))))) (* (* 4 (+ a 3)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 292 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (213 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (* (+ a 3) a) 9) (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (* b b) (- 81 (pow a 4))))) (* (* (* a a) (- 27 (pow a 3))) (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (- 1 (pow a 4)))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 3 a) (+ 1 (pow a 3)))) (* (* (+ 9 (* a a)) (* (+ (* (+ a 3) a) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (* (+ a 3) a) 9) (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (* b b) (- 81 (pow a 4))))) (* (* (* a a) (- 27 (pow a 3))) (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (- 1 (pow a 4)))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 3 a) (+ 1 (pow a 3)))) (* (* (+ 9 (* a a)) (* (+ (* (+ a 3) a) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 293 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (213 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ 1 (pow a 3)) b) (* b (- 81 (pow a 4)))) (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9))) (* (+ 9 (* a a)) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))))))) (* (* 4 (+ a -1)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 1 (* a a)) (* (+ (* a (+ a 3)) 9) (* (+ 9 (* a a)) (+ (* a a) (- 1 a)))))) (* (* (- 3 a) (- (* a a) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ 1 (pow a 3)) b) (* b (- 81 (pow a 4)))) (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9))) (* (+ 9 (* a a)) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))))))) (* (* 4 (+ a -1)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 1 (* a a)) (* (+ (* a (+ a 3)) 9) (* (+ 9 (* a a)) (+ (* a a) (- 1 a)))))) (* (* (- 3 a) (- (* a a) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 294 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ 9 (* a a))) (+ (* a (+ a 3)) 9)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a)))))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (* (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3))))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (+ (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (+ 1 (pow a 3))))) (* (+ 9 (* a a)) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a)))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ 9 (* a a))) (+ (* a (+ a 3)) 9)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a)))))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (* (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3))))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (+ (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (+ 1 (pow a 3))))) (* (+ 9 (* a a)) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a)))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 295 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (* b b) (- 81 (pow a 4))))) (* (- 1 (pow a 4)) (* (* (* a a) (- 27 (pow a 3))) (* (+ 9 (* a a)) (+ (* a a) (- 1 a)))))) (* (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (+ (* a (+ a 3)) 9)) (+ 1 (* a a)))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (* b b) (- 81 (pow a 4))))) (* (- 1 (pow a 4)) (* (* (* a a) (- 27 (pow a 3))) (* (+ 9 (* a a)) (+ (* a a) (- 1 a)))))) (* (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (+ (* a (+ a 3)) 9)) (+ 1 (* a a)))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 296 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (213 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (- 27 (pow a 3)) (- (* a a) 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))) (* (+ 9 (* a a)) (* (+ (* (+ a 3) a) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))))) (* (* (* 4 (* (+ a -1) (+ 9 (* (+ a 3) a)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (+ (* (+ a 3) a) 9) (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (+ 1 (pow a 3))))) (* (- 27 (pow a 3)) (* (* (* a a) (- 1 (pow a 4))) (* (+ 9 (* a a)) (+ (* a a) (- 1 a)))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (- 27 (pow a 3)) (- (* a a) 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))) (* (+ 9 (* a a)) (* (+ (* (+ a 3) a) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))))) (* (* (* 4 (* (+ a -1) (+ 9 (* (+ a 3) a)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (+ (* (+ a 3) a) 9) (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (+ 1 (pow a 3))))) (* (- 27 (pow a 3)) (* (* (* a a) (- 1 (pow a 4))) (* (+ 9 (* a a)) (+ (* a a) (- 1 a)))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 297 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (218 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 9 (* a a)) (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))))) (* (* (- 9 (* a a)) (- (* a a) 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (* (* (+ 1 (pow a 3)) b) (* b (- 81 (pow a 4)))) (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9))) (* (- 27 (pow a 3)) (* (* (* a a) (- 1 (pow a 4))) (* (+ 9 (* a a)) (+ (* a a) (- 1 a)))))) (* (* (* 4 (* (+ a 3) (+ a -1))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 9 (* a a)) (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))))) (* (* (- 9 (* a a)) (- (* a a) 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (* (* (+ 1 (pow a 3)) b) (* b (- 81 (pow a 4)))) (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9))) (* (- 27 (pow a 3)) (* (* (* a a) (- 1 (pow a 4))) (* (+ 9 (* a a)) (+ (* a a) (- 1 a)))))) (* (* (* 4 (* (+ a 3) (+ a -1))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 298 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* b b) (* (+ 1 (pow a 3)) (- 81 (pow a 4)))) (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9))) (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (pow a 4)) (+ 9 (* a a))) (+ (* a a) (- 1 a))))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ a 1) (- 27 (pow a 3))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a)))) (* (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* b b) (* (+ 1 (pow a 3)) (- 81 (pow a 4)))) (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9))) (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (pow a 4)) (+ 9 (* a a))) (+ (* a a) (- 1 a))))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ a 1) (- 27 (pow a 3))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a)))) (* (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 299 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (+ 1 (pow a 3)))) (+ (* a (+ a 3)) 9)) (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ 9 (* a a))))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (+ a 1) (- 9 (* a a)))) (* (* (+ 9 (* a a)) (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (+ 1 (pow a 3)))) (+ (* a (+ a 3)) 9)) (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ 9 (* a a))))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (+ a 1) (- 9 (* a a)))) (* (* (+ 9 (* a a)) (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 300 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (205 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ 1 (pow a 3)) b) (* b (- 81 (pow a 4)))) (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9))) (* (* (* a a) (- 27 (pow a 3))) (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (- 1 (pow a 4))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ 1 (pow a 3)) (- 3 a)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (+ (* a a) (- 1 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ 1 (pow a 3)) b) (* b (- 81 (pow a 4)))) (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9))) (* (* (* a a) (- 27 (pow a 3))) (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (- 1 (pow a 4))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ 1 (pow a 3)) (- 3 a)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (+ (* a a) (- 1 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 301 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (+ (* a a) -1) (- 3 a))) (* (* (* (* (+ 1 (* a a)) (+ 9 (* a a))) (+ (* a a) (- 1 a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (+ 1 (pow a 3)) b) (* b (- 81 (pow a 4)))) (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4))))) (* (* (* 4 (+ -1 a)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (+ (* a a) -1) (- 3 a))) (* (* (* (* (+ 1 (* a a)) (+ 9 (* a a))) (+ (* a a) (- 1 a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (+ 1 (pow a 3)) b) (* b (- 81 (pow a 4)))) (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4))))) (* (* (* 4 (+ -1 a)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 302 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (* b b) (- 81 (pow a 4))))) (* (+ 9 (* a a)) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a)))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (* b b) (- 81 (pow a 4))))) (* (+ 9 (* a a)) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a)))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 303 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (+ 1 (pow a 3)))) (+ (* a (+ a 3)) 9)) (* (- 1 (pow a 4)) (* (* (* a a) (- 27 (pow a 3))) (* (+ 9 (* a a)) (+ (* a a) (- 1 a)))))) (* (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (+ 1 (pow a 3)))) (+ (* a (+ a 3)) 9)) (* (- 1 (pow a 4)) (* (* (* a a) (- 27 (pow a 3))) (* (+ 9 (* a a)) (+ (* a a) (- 1 a)))))) (* (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 304 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * [exit]simplify: Simplified to (+ (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (- 27 (pow a 3)) (- (* a a) 1))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (+ 1 (pow a 3)))) (+ (* a (+ a 3)) 9)) (* (- 1 (pow a 4)) (* (* (* a a) (- 27 (pow a 3))) (* (+ 9 (* a a)) (+ (* a a) (- 1 a)))))) (* (* (* 4 (+ -1 a)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (- 27 (pow a 3)) (- (* a a) 1))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (+ 1 (pow a 3)))) (+ (* a (+ a 3)) 9)) (* (- 1 (pow a 4)) (* (* (* a a) (- 27 (pow a 3))) (* (+ 9 (* a a)) (+ (* a a) (- 1 a)))))) (* (* (* 4 (+ -1 a)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 305 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (+ 1 (pow a 3)))) (+ (* a (+ a 3)) 9)) (* (- 1 (pow a 4)) (* (* (* a a) (- 27 (pow a 3))) (* (+ 9 (* a a)) (+ (* a a) (- 1 a)))))) (* (* 4 (* (+ a -1) (+ a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* 2 a))) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* 2 a))) 3)) (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (- 9 (* a a)) (+ (* a a) -1))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (+ 1 (pow a 3)))) (+ (* a (+ a 3)) 9)) (* (- 1 (pow a 4)) (* (* (* a a) (- 27 (pow a 3))) (* (+ 9 (* a a)) (+ (* a a) (- 1 a)))))) (* (* 4 (* (+ a -1) (+ a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* 2 a))) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* 2 a))) 3)) (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (- 9 (* a a)) (+ (* a a) -1))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 306 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (+ 1 (pow a 3))))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4))))) (* (* (+ (* a (+ a 3)) 9) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (- 27 (pow a 3)) (+ a 1))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (+ 1 (pow a 3))))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4))))) (* (* (+ (* a (+ a 3)) 9) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (- 27 (pow a 3)) (+ a 1))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 307 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ 3 a)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* b b) (* (+ 1 (pow a 3)) (- 81 (pow a 4)))) (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (* a a) (- 27 (pow a 3)))) (- 1 (pow a 4)))) (* (+ (* a 4) 12) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (+ a 1) (- 9 (* a a))))) (* (+ (* a (+ a 3)) 9) (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (+ 1 (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* b b) (* (+ 1 (pow a 3)) (- 81 (pow a 4)))) (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (* a a) (- 27 (pow a 3)))) (- 1 (pow a 4)))) (* (+ (* a 4) 12) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (+ a 1) (- 9 (* a a))))) (* (+ (* a (+ a 3)) 9) (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (+ 1 (* a a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 308 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (* b b) (- 81 (pow a 4))))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4))))) (* (* (+ (* a a) (- 1 a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (+ (* a (+ a 3)) 9)) (+ 1 (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)) (* (+ 1 (pow a 3)) (- 3 a))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (* b b) (- 81 (pow a 4))))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4))))) (* (* (+ (* a a) (- 1 a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (+ (* a (+ a 3)) 9)) (+ 1 (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)) (* (+ 1 (pow a 3)) (- 3 a))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 309 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- a 1)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * [exit]simplify: Simplified to (+ (* (* (+ 1 (* a a)) (+ (* (+ a 3) a) 9)) (* (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (- (* a a) 1) (- 3 a))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (* b b) (- 81 (pow a 4)))) (+ (* (+ a 3) a) 9)) (* (+ 9 (* a a)) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a)))))) (* (+ (* 4 a) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ 1 (* a a)) (+ (* (+ a 3) a) 9)) (* (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (- (* a a) 1) (- 3 a))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (* b b) (- 81 (pow a 4)))) (+ (* (+ a 3) a) 9)) (* (+ 9 (* a a)) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a)))))) (* (+ (* 4 a) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (- a 1))))) 1)) * * * * [misc]progress: [ 310 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (211 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (* b b) (- 81 (pow a 4))) (+ 1 (pow a 3))) (* (+ 1 (* a a)) (+ (* (+ a 3) a) 9))) (* (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ 9 (* a a))) (* (* a a) (- 27 (pow a 3)))))) (* (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))))) 4)) (* (* (* (- 3 a) (+ a 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ 9 (* a a))) (+ (* (+ a 3) a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (* b b) (- 81 (pow a 4))) (+ 1 (pow a 3))) (* (+ 1 (* a a)) (+ (* (+ a 3) a) 9))) (* (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ 9 (* a a))) (* (* a a) (- 27 (pow a 3)))))) (* (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))))) 4)) (* (* (* (- 3 a) (+ a 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ 9 (* a a))) (+ (* (+ a 3) a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 311 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (- 3 a) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a)))))) (* (+ (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (+ 1 (pow a 3))))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (* a a) (- 27 (pow a 3)))) (- 1 (pow a 4)))) (* (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (- 3 a) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a)))))) (* (+ (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (+ 1 (pow a 3))))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (* a a) (- 27 (pow a 3)))) (- 1 (pow a 4)))) (* (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 312 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* 81 (+ -1 a))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))))) (* (* (+ (pow a 3) 1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ -1 a))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (- (* a a) 1)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3))))) (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* 81 (+ -1 a))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))))) (* (* (+ (pow a 3) 1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ -1 a))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (- (* a a) 1)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3))))) (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 313 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (242 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ -1 a)))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (- (* a a) 1)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ a 3))) (+ (* (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* 2 (* (* a a) (* b b)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* (+ -1 a) 81)) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ -1 a)))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (- (* a a) 1)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ a 3))) (+ (* (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* 2 (* (* a a) (* b b)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* (+ -1 a) 81)) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 314 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (225 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (* (* a 9) a) (+ (pow a 4) 81)) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ a -1)))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (- (* a a) 1)))))) (* (* 4 (* (+ a -1) (+ 9 (* a (+ a 3))))) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (* (* (+ (* 81 (+ a -1)) (* (* (+ a -1) (* a a)) (+ (* a a) 9))) (* (- (* a a) 1) (- 27 (pow a 3)))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (* (* a 9) a) (+ (pow a 4) 81)) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ a -1)))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (- (* a a) 1)))))) (* (* 4 (* (+ a -1) (+ 9 (* a (+ a 3))))) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (* (* (+ (* 81 (+ a -1)) (* (* (+ a -1) (* a a)) (+ (* a a) 9))) (* (- (* a a) 1) (- 27 (pow a 3)))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 315 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ a -1)))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ (* a a) -1)))))) (* (* 4 (* (+ a 3) (+ a -1))) (+ (* (* (* b 2) (* b (* a a))) (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (* (* (+ (* (+ a -1) 81) (* (* (+ a -1) (* a a)) (+ (* a a) 9))) (* (- 9 (* a a)) (+ (* a a) -1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ a -1)))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ (* a a) -1)))))) (* (* 4 (* (+ a 3) (+ a -1))) (+ (* (* (* b 2) (* b (* a a))) (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (* (* (+ (* (+ a -1) 81) (* (* (+ a -1) (* a a)) (+ (* a a) 9))) (* (- 9 (* a a)) (+ (* a a) -1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 316 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (223 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (- 1 (pow a 4)) (- 27 (pow a 3))) (* a a)) (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* (+ -1 a) 81))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (- (* a a) 1)))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- 27 (pow a 3)) (+ a 1))) (* (* (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* (+ -1 a) 81)) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (- 1 (pow a 4)) (- 27 (pow a 3))) (* a a)) (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* (+ -1 a) 81))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (- (* a a) 1)))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- 27 (pow a 3)) (+ a 1))) (* (* (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* (+ -1 a) 81)) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 317 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (- 1 (pow a 4)) (+ a -1)) (+ (* (* a a) 9) (+ (pow a 4) 81))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (- (* a a) 1)))))) (* (* 4 (+ a 3)) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* 81 (+ a -1)) (* (* (+ a -1) (* a a)) (+ (* a a) 9))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))))) (* (* (- 9 (* a a)) (+ a 1)) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (- 1 (pow a 4)) (+ a -1)) (+ (* (* a a) 9) (+ (pow a 4) 81))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (- (* a a) 1)))))) (* (* 4 (+ a 3)) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* 81 (+ a -1)) (* (* (+ a -1) (* a a)) (+ (* a a) 9))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))))) (* (* (- 9 (* a a)) (+ a 1)) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 318 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (235 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* (+ -1 a) 81)) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- 3 a) (+ 1 (pow a 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ -1 a))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ (* a a) -1)))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* (+ -1 a) 81)) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- 3 a) (+ 1 (pow a 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ -1 a))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ (* a a) -1)))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 319 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (218 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- (* a a) 1) (- 3 a))) (* (* (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* 81 (+ -1 a))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (pow a 4)) (+ -1 a)) (+ (* (* a a) 9) (+ (pow a 4) 81)))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (- (* a a) 1)))))) (* (* 4 (+ -1 a)) (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- (* a a) 1) (- 3 a))) (* (* (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* 81 (+ -1 a))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (pow a 4)) (+ -1 a)) (+ (* (* a a) 9) (+ (pow a 4) 81)))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (- (* a a) 1)))))) (* (* 4 (+ -1 a)) (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 320 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (228 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a))))) (- (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a))))) (* (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* (+ -1 a) 81)) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))))) (* (* (* (- (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a)))) (* (+ (* a a) (- 1 a)) (+ (* a (+ a 3)) 9))) 4) (+ (* (* (* (* a a) (- 1 (pow a 4))) (- 27 (pow a 3))) (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* (+ -1 a) 81))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ (* a a) -1))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a))))) (- (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a))))) (* (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* (+ -1 a) 81)) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))))) (* (* (* (- (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a)))) (* (+ (* a a) (- 1 a)) (+ (* a (+ a 3)) 9))) 4) (+ (* (* (* (* a a) (- 1 (pow a 4))) (- 27 (pow a 3))) (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* (+ -1 a) 81))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ (* a a) -1))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 321 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (234 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* 81 (+ a -1)) (* (* (+ a -1) (* a a)) (+ (* a a) 9))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ (pow a 3) 1) (- 9 (* a a)))))) (* (+ (* (* (* (- 1 (pow a 4)) (+ a -1)) (+ (* (* a a) 9) (+ (pow a 4) 81))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ (* a a) -1))))) (* (* (* 4 (* (+ (* a a) (- 1 a)) (+ a 3))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* 81 (+ a -1)) (* (* (+ a -1) (* a a)) (+ (* a a) 9))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ (pow a 3) 1) (- 9 (* a a)))))) (* (+ (* (* (* (- 1 (pow a 4)) (+ a -1)) (+ (* (* a a) 9) (+ (pow a 4) 81))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ (* a a) -1))))) (* (* (* 4 (* (+ (* a a) (- 1 a)) (+ a 3))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 322 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (217 enodes) * [exit]simplify: Simplified to (* (+ (* (* (- (* a a) 1) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)) (- (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)))) (* (- 27 (pow a 3)) (* (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* (+ -1 a) 81)) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))))) (* (* (* 4 (- (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a))) (* (+ -1 a) (+ 9 (* a (+ a 3))))) (+ (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ -1 a))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (- (* a a) 1))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (- (* a a) 1) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)) (- (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)))) (* (- 27 (pow a 3)) (* (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* (+ -1 a) 81)) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))))) (* (* (* 4 (- (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a))) (* (+ -1 a) (+ 9 (* a (+ a 3))))) (+ (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ -1 a))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (- (* a a) 1))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 323 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (223 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ (* a a) 9))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) (* (- 9 (* a a)) (- (* a a) 1)))) (* (+ (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (pow a 4)) (- a 1)) (+ (* (* a a) 9) (+ (pow a 4) 81)))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (- (* a a) 1))))) (* (* (* 4 (* (+ a 3) (- a 1))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ (* a a) 9))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) (* (- 9 (* a a)) (- (* a a) 1)))) (* (+ (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (pow a 4)) (- a 1)) (+ (* (* a a) 9) (+ (pow a 4) 81)))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (- (* a a) 1))))) (* (* (* 4 (* (+ a 3) (- a 1))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 324 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ a 1) (- 27 (pow a 3)))) (* (* (+ (* (* (+ a -1) (* a a)) (+ (* a a) 9)) (* (+ a -1) 81)) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ a -1))) (+ (* (* a a) 9) (+ (pow a 4) 81))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (- (* a a) 1))))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ a 1) (- 27 (pow a 3)))) (* (* (+ (* (* (+ a -1) (* a a)) (+ (* a a) 9)) (* (+ a -1) 81)) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ a -1))) (+ (* (* a a) 9) (+ (pow a 4) 81))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (- (* a a) 1))))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 325 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (- 1 (pow a 4)) (- a 1)) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (- (* a a) 1))))) (* (* (* 4 (+ a 3)) (- (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)))) (* (* (* (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ (* a a) 9))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a)))) (- (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a)))))) (* (* (- 9 (* a a)) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (- 1 (pow a 4)) (- a 1)) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (- (* a a) 1))))) (* (* (* 4 (+ a 3)) (- (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)))) (* (* (* (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ (* a a) 9))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a)))) (- (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a)))))) (* (* (- 9 (* a a)) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 326 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (- 3 a) (+ (pow a 3) 1)))) (* (* (+ (* (* (- a 1) (* a a)) (+ (* a a) 9)) (* 81 (- a 1))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (* (- 1 (pow a 4)) (* (* a a) (- 27 (pow a 3)))) (+ (* (* (- a 1) (* a a)) (+ (* a a) 9)) (* 81 (- a 1)))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ (* a a) -1))))) (* (* (* 4 (+ (* a a) (- 1 a))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (- 3 a) (+ (pow a 3) 1)))) (* (* (+ (* (* (- a 1) (* a a)) (+ (* a a) 9)) (* 81 (- a 1))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (* (- 1 (pow a 4)) (* (* a a) (- 27 (pow a 3)))) (+ (* (* (- a 1) (* a a)) (+ (* a a) 9)) (* 81 (- a 1)))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ (* a a) -1))))) (* (* (* 4 (+ (* a a) (- 1 a))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 327 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a))))) (* (- (* a a) 1) (- 3 a))) (* (* (+ (* (* (+ a -1) (* a a)) (+ (* a a) 9)) (* (+ a -1) 81)) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (- 1 (pow a 4)) (+ a -1)) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (- (* a a) 1))))) (* (* (* 4 (+ a -1)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a))))) (* (- (* a a) 1) (- 3 a))) (* (* (+ (* (* (+ a -1) (* a a)) (+ (* a a) 9)) (* (+ a -1) 81)) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (- 1 (pow a 4)) (+ a -1)) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (- (* a a) 1))))) (* (* (* 4 (+ a -1)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 328 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (pow a 4)) (+ a -1)) (+ (+ 81 (pow a 4)) (* a (* a 9))))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ (* a a) -1))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)))) (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (- 27 (pow a 3)) (+ 1 (pow a 3)))) (* (+ (* (* (+ a -1) (* a a)) (+ (* a a) 9)) (* 81 (+ a -1))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (pow a 4)) (+ a -1)) (+ (+ 81 (pow a 4)) (* a (* a 9))))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ (* a a) -1))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)))) (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (- 27 (pow a 3)) (+ 1 (pow a 3)))) (* (+ (* (* (+ a -1) (* a a)) (+ (* a a) 9)) (* 81 (+ a -1))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 329 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (213 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (- a 1))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (- 1 (pow a 4)) (- a 1)) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (- (* a a) 1))))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (- a 1))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (- 1 (pow a 4)) (- a 1)) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (- (* a a) 1))))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 330 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (+ -1 a))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (- 1 (pow a 4)) (+ -1 a)) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ (* a a) -1))))) (* (* (* 4 (+ -1 a)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (+ -1 a))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (- 1 (pow a 4)) (+ -1 a)) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ (* a a) -1))))) (* (* (* 4 (+ -1 a)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 331 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (pow a 4)) (+ a -1)) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (- (* a a) 1))))) (* (* (* 4 (+ a -1)) (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)))) (* (* (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (+ a -1))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))))) (* (* (- 9 (* a a)) (- (* a a) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (pow a 4)) (+ a -1)) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (- (* a a) 1))))) (* (* (* 4 (+ a -1)) (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)))) (* (* (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (+ a -1))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))))) (* (* (- 9 (* a a)) (- (* a a) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 332 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (+ a -1))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))))) (* (* (- 27 (pow a 3)) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (- 1 (pow a 4)) (+ a -1)) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (- (* a a) 1))))) (* (+ 36 (* (* a (+ a 3)) 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (+ a -1))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))))) (* (* (- 27 (pow a 3)) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (- 1 (pow a 4)) (+ a -1)) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (- (* a a) 1))))) (* (+ 36 (* (* a (+ a 3)) 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 333 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ 3 a)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (pow a 4)) (+ a -1)) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ (* a a) -1))))) (* (+ (* a 4) 12) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* a (+ a 3)) 9) (* (* (* (+ 1 (* a a)) (+ a -1)) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (- 9 (* a a)) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (pow a 4)) (+ a -1)) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ (* a a) -1))))) (* (+ (* a 4) 12) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* a (+ a 3)) 9) (* (* (* (+ 1 (* a a)) (+ a -1)) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (- 9 (* a a)) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 334 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (205 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (- 1 (pow a 4)) (+ -1 a)) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ (* a a) -1))))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* a a) (* b b))) 3)))) (* (* (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (+ -1 a))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (* (* (+ (pow a 3) 1) (- 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* a a) (* b b))) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (- 1 (pow a 4)) (+ -1 a)) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ (* a a) -1))))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* a a) (* b b))) 3)))) (* (* (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (+ -1 a))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (* (* (+ (pow a 3) 1) (- 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* a a) (* b b))) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 335 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- a 1)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (+ -1 a))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))) (* (* (- 3 a) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* 2 a))) 3)))) (* (+ (* (* (* (- 1 (pow a 4)) (+ -1 a)) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ (* a a) -1))))) (* (+ (* 4 a) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* 2 a))) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (+ -1 a))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))) (* (* (- 3 a) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* 2 a))) 3)))) (* (+ (* (* (* (- 1 (pow a 4)) (+ -1 a)) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ (* a a) -1))))) (* (+ (* 4 a) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* 2 a))) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (- a 1))))) 1)) * * * * [misc]progress: [ 336 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (- 1 (pow a 4)) (* (* a a) (- 27 (pow a 3)))) (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ (* a a) 9)))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (- (* a a) 1)))))) (* (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) 4)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (* (* (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ (* a a) 9))) (* (- 3 a) (+ a 1))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (- 1 (pow a 4)) (* (* a a) (- 27 (pow a 3)))) (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ (* a a) 9)))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (- (* a a) 1)))))) (* (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) 4)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (* (* (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ (* a a) 9))) (* (- 3 a) (+ a 1))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 337 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (208 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (pow a 4)) (+ -1 a)) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ (* a a) -1))))) (* (* 4 (- (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (+ a 1) (- 3 a)) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (- (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))) (* (* (+ (* 81 (+ -1 a)) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (pow a 4)) (+ -1 a)) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ (* a a) -1))))) (* (* 4 (- (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (+ a 1) (- 3 a)) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (- (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))) (* (* (+ (* 81 (+ -1 a)) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 338 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (220 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ -1 a) (+ (* a a) 9)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (+ (* a a) -1))) (+ 9 (* (+ a 3) a))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* (+ a 3) a)))) (+ (* (* (* (* b 2) (* b a)) a) (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 9 (* (+ a 3) a)) (* (+ 1 (* a a)) (+ -1 a))) (+ (* a a) 9))) (* (* (+ (pow a 3) 1) (- 27 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ -1 a) (+ (* a a) 9)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (+ (* a a) -1))) (+ 9 (* (+ a 3) a))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* (+ a 3) a)))) (+ (* (* (* (* b 2) (* b a)) a) (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 9 (* (+ a 3) a)) (* (+ 1 (* a a)) (+ -1 a))) (+ (* a a) 9))) (* (* (+ (pow a 3) 1) (- 27 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 339 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* a a) 9) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ a -1)))) (* (* (* (* b b) (- 81 (pow a 4))) (- (* a a) 1)) (* (+ 9 (* a (+ a 3))) (+ 1 (* a a)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ a 3))) (+ (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (* (* (+ 1 (* a a)) (* (+ 9 (* a (+ a 3))) (* (+ a -1) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* a a) 9) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ a -1)))) (* (* (* (* b b) (- 81 (pow a 4))) (- (* a a) 1)) (* (+ 9 (* a (+ a 3))) (+ 1 (* a a)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ a 3))) (+ (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (* (* (+ 1 (* a a)) (* (+ 9 (* a (+ a 3))) (* (+ a -1) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 340 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (+ 9 (* a (+ a 3))) (* (+ 1 (* a a)) (+ -1 a))) (+ (* a a) 9))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ -1 a))) (+ (* a a) 9)) (* (* (* (+ 1 (* a a)) (+ (* a a) -1)) (* (* b b) (- 81 (pow a 4)))) (+ 9 (* a (+ a 3)))))) (* (* 4 (* (+ -1 a) (+ 9 (* a (+ a 3))))) (+ (* (* (* b 2) (* b (* a a))) (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (+ 9 (* a (+ a 3))) (* (+ 1 (* a a)) (+ -1 a))) (+ (* a a) 9))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ -1 a))) (+ (* a a) 9)) (* (* (* (+ 1 (* a a)) (+ (* a a) -1)) (* (* b b) (- 81 (pow a 4)))) (+ 9 (* a (+ a 3)))))) (* (* 4 (* (+ -1 a) (+ 9 (* a (+ a 3))))) (+ (* (* (* b 2) (* b (* a a))) (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 341 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (* (+ 1 (* a a)) (+ -1 a)) (+ (* a a) 9)) (+ 9 (* a (+ a 3))))) (* (* (- (* a a) 1) (- 9 (* a a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ -1 a) (+ (* a a) 9)) (* (* a a) (- 27 (pow a 3)))) (- 1 (pow a 4))) (* (+ 9 (* a (+ a 3))) (* (* (+ 1 (* a a)) (- (* a a) 1)) (* (* b b) (- 81 (pow a 4))))))) (* (* 4 (* (+ a 3) (+ -1 a))) (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (* (+ 1 (* a a)) (+ -1 a)) (+ (* a a) 9)) (+ 9 (* a (+ a 3))))) (* (* (- (* a a) 1) (- 9 (* a a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ -1 a) (+ (* a a) 9)) (* (* a a) (- 27 (pow a 3)))) (- 1 (pow a 4))) (* (+ 9 (* a (+ a 3))) (* (* (+ 1 (* a a)) (- (* a a) 1)) (* (* b b) (- 81 (pow a 4))))))) (* (* 4 (* (+ a 3) (+ -1 a))) (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 342 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 9 (* a (+ a 3))) (+ 1 (* a a)))) (* (* (* (+ a -1) (+ (* a a) 9)) (* (+ a 1) (- 27 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ a -1) (+ (* a a) 9)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (+ 9 (* a (+ a 3))) (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (+ (* a a) -1)))))) (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 9 (* a (+ a 3))) (+ 1 (* a a)))) (* (* (* (+ a -1) (+ (* a a) 9)) (* (+ a 1) (- 27 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ a -1) (+ (* a a) 9)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (+ 9 (* a (+ a 3))) (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (+ (* a a) -1)))))) (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 343 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (213 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ a 1) (- 9 (* a a)))) (* (* (* (* (+ 1 (* a a)) (+ -1 a)) (+ (* a a) 9)) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ -1 a))) (+ (* a a) 9)) (* (+ 9 (* a (+ a 3))) (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (- (* a a) 1)))))) (* (* 4 (+ a 3)) (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ a 1) (- 9 (* a a)))) (* (* (* (* (+ 1 (* a a)) (+ -1 a)) (+ (* a a) 9)) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ -1 a))) (+ (* a a) 9)) (* (+ 9 (* a (+ a 3))) (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (- (* a a) 1)))))) (* (* 4 (+ a 3)) (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 344 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (219 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- 1 (pow a 4)) (* (* (* a a) (- 27 (pow a 3))) (* (+ -1 a) (+ (* a a) 9)))) (* (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (- (* a a) 1))) (+ 9 (* (+ a 3) a))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 9 (* (+ a 3) a)) (+ 1 (* a a)))) (* (* (* (+ -1 a) (+ (* a a) 9)) (* (- 3 a) (+ 1 (pow a 3)))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- 1 (pow a 4)) (* (* (* a a) (- 27 (pow a 3))) (* (+ -1 a) (+ (* a a) 9)))) (* (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (- (* a a) 1))) (+ 9 (* (+ a 3) a))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 9 (* (+ a 3) a)) (+ 1 (* a a)))) (* (* (* (+ -1 a) (+ (* a a) 9)) (* (- 3 a) (+ 1 (pow a 3)))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 345 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 9 (* a (+ a 3))) (* (+ 1 (* a a)) (+ a -1))) (+ (* a a) 9))) (* (* (- 3 a) (+ (* a a) -1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (- 1 (pow a 4)) (+ (* a a) 9)) (+ a -1)) (* (* a a) (- 27 (pow a 3)))) (* (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (+ (* a a) -1))) (+ 9 (* a (+ a 3)))))) (* (* 4 (+ a -1)) (+ (* (* (* (* b 2) (* b a)) a) (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 9 (* a (+ a 3))) (* (+ 1 (* a a)) (+ a -1))) (+ (* a a) 9))) (* (* (- 3 a) (+ (* a a) -1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (- 1 (pow a 4)) (+ (* a a) 9)) (+ a -1)) (* (* a a) (- 27 (pow a 3)))) (* (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (+ (* a a) -1))) (+ 9 (* a (+ a 3)))))) (* (* 4 (+ a -1)) (+ (* (* (* (* b 2) (* b a)) a) (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 346 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ 9 (* (+ a 3) a)) (+ 1 (* a a))) (* (* (* (+ a -1) (+ (* a a) 9)) (* (- 27 (pow a 3)) (+ 1 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a))))) (* (* 4 (* (* (+ (- 1 a) (* a a)) (+ 9 (* (+ a 3) a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) (+ (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ a -1))) (+ (* a a) 9)) (* (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (- (* a a) 1))) (+ 9 (* (+ a 3) a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (+ 9 (* (+ a 3) a)) (+ 1 (* a a))) (* (* (* (+ a -1) (+ (* a a) 9)) (* (- 27 (pow a 3)) (+ 1 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a))))) (* (* 4 (* (* (+ (- 1 a) (* a a)) (+ 9 (* (+ a 3) a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) (+ (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ a -1))) (+ (* a a) 9)) (* (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (- (* a a) 1))) (+ 9 (* (+ a 3) a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 347 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (218 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (- 1 (pow a 4)) (+ -1 a)) (+ (* a a) 9)) (* (* a a) (- 27 (pow a 3)))) (* (* (* (+ 1 (* a a)) (- (* a a) 1)) (* (* b b) (- 81 (pow a 4)))) (+ 9 (* a (+ a 3))))) (* (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 9 (* a (+ a 3))) (+ 1 (* a a)))) (* (* (* (+ -1 a) (+ (* a a) 9)) (* (- 9 (* a a)) (+ (pow a 3) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (- 1 (pow a 4)) (+ -1 a)) (+ (* a a) 9)) (* (* a a) (- 27 (pow a 3)))) (* (* (* (+ 1 (* a a)) (- (* a a) 1)) (* (* b b) (- 81 (pow a 4)))) (+ 9 (* a (+ a 3))))) (* (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 9 (* a (+ a 3))) (+ 1 (* a a)))) (* (* (* (+ -1 a) (+ (* a a) 9)) (* (- 9 (* a a)) (+ (pow a 3) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 348 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (201 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (* (+ a -1) (+ (* a a) 9)) (* (* a a) (- 27 (pow a 3)))) (- 1 (pow a 4))) (* (+ 9 (* a (+ a 3))) (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (+ (* a a) -1))))) (* (* 4 (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ a -1) (+ 9 (* a (+ a 3)))))) (* (* (+ 9 (* a (+ a 3))) (* (* (+ 1 (* a a)) (+ (* a a) 9)) (+ a -1))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))) (* (+ (* a a) -1) (- 27 (pow a 3)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (* (* (+ a -1) (+ (* a a) 9)) (* (* a a) (- 27 (pow a 3)))) (- 1 (pow a 4))) (* (+ 9 (* a (+ a 3))) (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (+ (* a a) -1))))) (* (* 4 (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ a -1) (+ 9 (* a (+ a 3)))))) (* (* (+ 9 (* a (+ a 3))) (* (* (+ 1 (* a a)) (+ (* a a) 9)) (+ a -1))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))) (* (+ (* a a) -1) (- 27 (pow a 3)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 349 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 1 (pow a 4)) (* (* (* a a) (- 27 (pow a 3))) (* (+ -1 a) (+ (* a a) 9)))) (* (+ 9 (* a (+ a 3))) (* (* (+ 1 (* a a)) (+ (* a a) -1)) (* (* b b) (- 81 (pow a 4)))))) (* (* (* 4 (* (+ a 3) (+ -1 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (+ 1 (* a a)) (* (+ 9 (* a (+ a 3))) (* (+ -1 a) (+ (* a a) 9)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))) (* (* (+ (* a a) -1) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 1 (pow a 4)) (* (* (* a a) (- 27 (pow a 3))) (* (+ -1 a) (+ (* a a) 9)))) (* (+ 9 (* a (+ a 3))) (* (* (+ 1 (* a a)) (+ (* a a) -1)) (* (* b b) (- 81 (pow a 4)))))) (* (* (* 4 (* (+ a 3) (+ -1 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (+ 1 (* a a)) (* (+ 9 (* a (+ a 3))) (* (+ -1 a) (+ (* a a) 9)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))) (* (* (+ (* a a) -1) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 350 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 9 (* a (+ a 3))) (+ 1 (* a a)))) (* (* (* (- a 1) (+ (* a a) 9)) (* (- 27 (pow a 3)) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (- 1 (pow a 4)) (* (* (* a a) (- 27 (pow a 3))) (* (- a 1) (+ (* a a) 9)))) (* (* (* (+ 1 (* a a)) (- (* a a) 1)) (* (* b b) (- 81 (pow a 4)))) (+ 9 (* a (+ a 3))))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 9 (* a (+ a 3))) (+ 1 (* a a)))) (* (* (* (- a 1) (+ (* a a) 9)) (* (- 27 (pow a 3)) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (- 1 (pow a 4)) (* (* (* a a) (- 27 (pow a 3))) (* (- a 1) (+ (* a a) 9)))) (* (* (* (+ 1 (* a a)) (- (* a a) 1)) (* (* b b) (- 81 (pow a 4)))) (+ 9 (* a (+ a 3))))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 351 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (205 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ a -1))) (+ (* a a) 9)) (* (* (* (+ 1 (* a a)) (- (* a a) 1)) (* (* b b) (- 81 (pow a 4)))) (+ 9 (* a (+ a 3))))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 1 (* a a)) (* (+ 9 (* a (+ a 3))) (* (+ a -1) (+ (* a a) 9))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (- 9 (* a a)) (+ a 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ a -1))) (+ (* a a) 9)) (* (* (* (+ 1 (* a a)) (- (* a a) 1)) (* (* b b) (- 81 (pow a 4)))) (+ 9 (* a (+ a 3))))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 1 (* a a)) (* (+ 9 (* a (+ a 3))) (* (+ a -1) (+ (* a a) 9))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (- 9 (* a a)) (+ a 1))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 352 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (211 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ -1 a))) (+ (* a a) 9)) (* (* (* (- 81 (pow a 4)) (- (* a a) 1)) (* b b)) (* (+ 9 (* (+ a 3) a)) (+ 1 (* a a))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (* (+ -1 a) (+ (* a a) 9)) (+ 1 (* a a))) (+ 9 (* (+ a 3) a)))) (* (* (+ (pow a 3) 1) (- 3 a)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ -1 a))) (+ (* a a) 9)) (* (* (* (- 81 (pow a 4)) (- (* a a) 1)) (* b b)) (* (+ 9 (* (+ a 3) a)) (+ 1 (* a a))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (* (+ -1 a) (+ (* a a) 9)) (+ 1 (* a a))) (+ 9 (* (+ a 3) a)))) (* (* (+ (pow a 3) 1) (- 3 a)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 353 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 9 (* a (+ a 3))) (+ 1 (* a a)))) (* (* (* (- a 1) (+ (* a a) 9)) (* (- 3 a) (+ (* a a) -1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a)))))) (* (+ (* (+ (* a a) 9) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (- a 1)))) (* (* (* (+ 1 (* a a)) (+ (* a a) -1)) (* (* b b) (- 81 (pow a 4)))) (+ 9 (* a (+ a 3))))) (* (* (* 4 (- a 1)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 9 (* a (+ a 3))) (+ 1 (* a a)))) (* (* (* (- a 1) (+ (* a a) 9)) (* (- 3 a) (+ (* a a) -1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a)))))) (* (+ (* (+ (* a a) 9) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (- a 1)))) (* (* (* (+ 1 (* a a)) (+ (* a a) -1)) (* (* b b) (- 81 (pow a 4)))) (+ 9 (* a (+ a 3))))) (* (* (* 4 (- a 1)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 354 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 9 (* a (+ a 3))) (* (+ 1 (* a a)) (+ -1 a))) (+ (* a a) 9)) (* (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (- 27 (pow a 3)) (+ 1 (pow a 3))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (* (+ -1 a) (+ (* a a) 9)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (- (* a a) 1))) (+ 9 (* a (+ a 3))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 9 (* a (+ a 3))) (* (+ 1 (* a a)) (+ -1 a))) (+ (* a a) 9)) (* (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (- 27 (pow a 3)) (+ 1 (pow a 3))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (* (+ -1 a) (+ (* a a) 9)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (- (* a a) 1))) (+ 9 (* a (+ a 3))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 355 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ a -1))) (+ (* a a) 9)) (* (* (* (- 81 (pow a 4)) (- (* a a) 1)) (* b b)) (* (+ 9 (* a (+ a 3))) (+ 1 (* a a))))) (* (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))) (* (- 9 (* a a)) (+ (pow a 3) 1))) (* (* (* (* (+ a -1) (+ (* a a) 9)) (+ 9 (* a (+ a 3)))) (+ 1 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ a -1))) (+ (* a a) 9)) (* (* (* (- 81 (pow a 4)) (- (* a a) 1)) (* b b)) (* (+ 9 (* a (+ a 3))) (+ 1 (* a a))))) (* (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))) (* (- 9 (* a a)) (+ (pow a 3) 1))) (* (* (* (* (+ a -1) (+ (* a a) 9)) (+ 9 (* a (+ a 3)))) (+ 1 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 356 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- (* a a) 1) (- 27 (pow a 3))) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))) (* (* (* (+ 1 (* a a)) (+ a -1)) (+ (* a a) 9)) (+ 9 (* (+ a 3) a)))) (* (+ (* (* (* (+ a -1) (+ (* a a) 9)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (* (* (+ 1 (* a a)) (- (* a a) 1)) (* (* b b) (- 81 (pow a 4)))) (+ 9 (* (+ a 3) a)))) (* (* (* 4 (+ a -1)) (+ 9 (* (+ a 3) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- (* a a) 1) (- 27 (pow a 3))) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))) (* (* (* (+ 1 (* a a)) (+ a -1)) (+ (* a a) 9)) (+ 9 (* (+ a 3) a)))) (* (+ (* (* (* (+ a -1) (+ (* a a) 9)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (* (* (+ 1 (* a a)) (- (* a a) 1)) (* (* b b) (- 81 (pow a 4)))) (+ 9 (* (+ a 3) a)))) (* (* (* 4 (+ a -1)) (+ 9 (* (+ a 3) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 357 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)) (* (- (* a a) 1) (- 9 (* a a)))) (* (* (+ 9 (* a (+ a 3))) (* (* (+ 1 (* a a)) (+ (* a a) 9)) (- a 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (pow a 4)) (- a 1)) (+ (* a a) 9))) (* (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (- (* a a) 1))) (+ 9 (* a (+ a 3))))) (* (* (* (+ a 3) (- a 1)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)) (* (- (* a a) 1) (- 9 (* a a)))) (* (* (+ 9 (* a (+ a 3))) (* (* (+ 1 (* a a)) (+ (* a a) 9)) (- a 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (pow a 4)) (- a 1)) (+ (* a a) 9))) (* (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (- (* a a) 1))) (+ 9 (* a (+ a 3))))) (* (* (* (+ a 3) (- a 1)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 358 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ a 1) (- 27 (pow a 3))) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (* (* (* (- a 1) (+ (* a a) 9)) (+ 9 (* (+ a 3) a))) (+ 1 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (- 1 (pow a 4)) (* (* (* a a) (- 27 (pow a 3))) (* (- a 1) (+ (* a a) 9)))) (* (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (- (* a a) 1))) (+ 9 (* (+ a 3) a)))) (* (+ (* (* (+ a 3) a) 4) 36) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ a 1) (- 27 (pow a 3))) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (* (* (* (- a 1) (+ (* a a) 9)) (+ 9 (* (+ a 3) a))) (+ 1 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (- 1 (pow a 4)) (* (* (* a a) (- 27 (pow a 3))) (* (- a 1) (+ (* a a) 9)))) (* (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (- (* a a) 1))) (+ 9 (* (+ a 3) a)))) (* (+ (* (* (+ a 3) a) 4) 36) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 359 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ 3 a)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (184 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 9 (* a (+ a 3))) (+ 1 (* a a)))) (* (* (* (- a 1) (+ (* a a) 9)) (* (- 9 (* a a)) (+ a 1))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))) (* (+ (* (+ (* a a) 9) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (- a 1)))) (* (* (* (* b b) (- 81 (pow a 4))) (- (* a a) 1)) (* (+ 9 (* a (+ a 3))) (+ 1 (* a a))))) (* (+ 12 (* a 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 9 (* a (+ a 3))) (+ 1 (* a a)))) (* (* (* (- a 1) (+ (* a a) 9)) (* (- 9 (* a a)) (+ a 1))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))) (* (+ (* (+ (* a a) 9) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (- a 1)))) (* (* (* (* b b) (- 81 (pow a 4))) (- (* a a) 1)) (* (+ 9 (* a (+ a 3))) (+ 1 (* a a))))) (* (+ 12 (* a 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 360 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * [exit]simplify: Simplified to (+ (* (* (+ 9 (* a (+ a 3))) (+ 1 (* a a))) (* (* (* (* (+ -1 a) (+ (* a a) 9)) (* (+ 1 (pow a 3)) (- 3 a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (+ -1 a) (+ (* a a) 9)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (* (* (+ 1 (* a a)) (+ (* a a) -1)) (* (* b b) (- 81 (pow a 4)))) (+ 9 (* a (+ a 3))))) (* (* (+ (* a a) (- 1 a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ 9 (* a (+ a 3))) (+ 1 (* a a))) (* (* (* (* (+ -1 a) (+ (* a a) 9)) (* (+ 1 (pow a 3)) (- 3 a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (+ -1 a) (+ (* a a) 9)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (* (* (+ 1 (* a a)) (+ (* a a) -1)) (* (* b b) (- 81 (pow a 4)))) (+ 9 (* a (+ a 3))))) (* (* (+ (* a a) (- 1 a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 361 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- a 1)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * [exit]simplify: Simplified to (+ (* (* (+ 9 (* a (+ a 3))) (+ 1 (* a a))) (* (* (* (* (+ -1 a) (+ (* a a) 9)) (* (- (* a a) 1) (- 3 a))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (+ (* a a) 9) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ -1 a)))) (* (* (* (+ 1 (* a a)) (- (* a a) 1)) (* (* b b) (- 81 (pow a 4)))) (+ 9 (* a (+ a 3))))) (* (+ (* a 4) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ 9 (* a (+ a 3))) (+ 1 (* a a))) (* (* (* (* (+ -1 a) (+ (* a a) 9)) (* (- (* a a) 1) (- 3 a))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (+ (* a a) 9) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ -1 a)))) (* (* (* (+ 1 (* a a)) (- (* a a) 1)) (* (* b b) (- 81 (pow a 4)))) (+ 9 (* a (+ a 3))))) (* (+ (* a 4) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (- a 1))))) 1)) * * * * [misc]progress: [ 362 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 9 (* a (+ a 3))) (+ 1 (* a a)))) (* (* (* (+ a -1) (+ (* a a) 9)) (* (- 3 a) (+ a 1))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (- 1 (pow a 4)) (+ a -1)) (+ (* a a) 9)) (* (* a a) (- 27 (pow a 3)))) (* (+ 9 (* a (+ a 3))) (* (* (+ 1 (* a a)) (+ (* a a) -1)) (* (* b b) (- 81 (pow a 4))))))) (* 4 (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 9 (* a (+ a 3))) (+ 1 (* a a)))) (* (* (* (+ a -1) (+ (* a a) 9)) (* (- 3 a) (+ a 1))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (- 1 (pow a 4)) (+ a -1)) (+ (* a a) 9)) (* (* a a) (- 27 (pow a 3)))) (* (+ 9 (* a (+ a 3))) (* (* (+ 1 (* a a)) (+ (* a a) -1)) (* (* b b) (- 81 (pow a 4))))))) (* 4 (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 363 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* a a) 9) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ -1 a)))) (* (* (* (+ 1 (* a a)) (- (* a a) 1)) (* (* b b) (- 81 (pow a 4)))) (+ 9 (* a (+ a 3))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 9 (* a (+ a 3))) (+ 1 (* a a)))) (* (* (* (+ -1 a) (+ (* a a) 9)) (* (- 3 a) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* a a) 9) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ -1 a)))) (* (* (* (+ 1 (* a a)) (- (* a a) 1)) (* (* b b) (- 81 (pow a 4)))) (+ 9 (* a (+ a 3))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 9 (* a (+ a 3))) (+ 1 (* a a)))) (* (* (* (+ -1 a) (+ (* a a) 9)) (* (- 3 a) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 364 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (232 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ 1 (* a a)) (+ (* (+ a 3) a) 9)) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 1 (pow a 4))) (- 27 (pow a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* (+ a 3) a)))) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (pow a 3) 1) (- 27 (pow a 3)))) (* (* (* (+ 1 (* a a)) (+ (* (+ a 3) a) 9)) (+ 81 (* (* a a) (+ 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ 1 (* a a)) (+ (* (+ a 3) a) 9)) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 1 (pow a 4))) (- 27 (pow a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* (+ a 3) a)))) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (pow a 3) 1) (- 27 (pow a 3)))) (* (* (* (+ 1 (* a a)) (+ (* (+ a 3) a) 9)) (+ 81 (* (* a a) (+ 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 365 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (- 9 (* a a)) (+ 1 (pow a 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 1) (* b b)))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (* a a) (- 27 (pow a 3)))) (- 1 (pow a 4))))) (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (* (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (* b 2) (* b (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (- 9 (* a a)) (+ 1 (pow a 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 1) (* b b)))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (* a a) (- 27 (pow a 3)))) (- 1 (pow a 4))))) (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (* (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (* b 2) (* b (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 366 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (228 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 1) (* b b)))) (* (- 27 (pow a 3)) (* (* (* a a) (- 1 (pow a 4))) (+ (+ 81 (pow a 4)) (* (* a a) 9)))))) (* (* 4 (* (+ -1 a) (+ 9 (* a (+ a 3))))) (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9))) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (- 27 (pow a 3)) (+ (* a a) -1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 1) (* b b)))) (* (- 27 (pow a 3)) (* (* (* a a) (- 1 (pow a 4))) (+ (+ 81 (pow a 4)) (* (* a a) 9)))))) (* (* 4 (* (+ -1 a) (+ 9 (* a (+ a 3))))) (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9))) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (- 27 (pow a 3)) (+ (* a a) -1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 367 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (234 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 9 (* a a)) (+ (* a a) -1)) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (+ 81 (* (* a a) (+ 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 1) (* b b)))) (* (* (* (- 1 (pow a 4)) (- 27 (pow a 3))) (* a a)) (+ 81 (* (* a a) (+ 9 (* a a))))))) (* (* 4 (* (- a 1) (+ a 3))) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 9 (* a a)) (+ (* a a) -1)) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (+ 81 (* (* a a) (+ 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 1) (* b b)))) (* (* (* (- 1 (pow a 4)) (- 27 (pow a 3))) (* a a)) (+ 81 (* (* a a) (+ 9 (* a a))))))) (* (* 4 (* (- a 1) (+ a 3))) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 368 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (217 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9))) (* (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (* (+ a 1) (- 27 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 1) (* b b)))) (* (* (- 1 (pow a 4)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a))))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9))) (* (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (* (+ a 1) (- 27 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 1) (* b b)))) (* (* (- 1 (pow a 4)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a))))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 369 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (223 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 1) (* b b)))) (* (- 1 (pow a 4)) (* (* (* a a) (- 27 (pow a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9)))))) (* (* 4 (+ a 3)) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (- 9 (* a a)) (+ a 1))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 1) (* b b)))) (* (- 1 (pow a 4)) (* (* (* a a) (- 27 (pow a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9)))))) (* (* 4 (+ a 3)) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (- 9 (* a a)) (+ a 1))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 370 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3)) (+ (* (* (+ 1 (* a a)) (+ (* (+ a 3) a) 9)) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 1) (* b b)))) (* (* (- 1 (pow a 4)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a))))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3)) (* (+ 1 (* a a)) (+ (* (+ a 3) a) 9))) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ 1 (pow a 3)) (- 3 a))) (+ (pow (* (* b b) (* 2 (* a a))) 3) (pow (+ (pow b 4) (pow a 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3)) (+ (* (* (+ 1 (* a a)) (+ (* (+ a 3) a) 9)) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 1) (* b b)))) (* (* (- 1 (pow a 4)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a))))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3)) (* (+ 1 (* a a)) (+ (* (+ a 3) a) 9))) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ 1 (pow a 3)) (- 3 a))) (+ (pow (* (* b b) (* 2 (* a a))) 3) (pow (+ (pow b 4) (pow a 4)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 371 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (220 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (- 3 a) (+ (* a a) -1))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 1) (* b b)))) (* (* (- 1 (pow a 4)) (* (* a a) (- 27 (pow a 3)))) (+ (+ (pow a 4) 81) (* (* a a) 9))))) (* (* 4 (+ -1 a)) (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (- 3 a) (+ (* a a) -1))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 1) (* b b)))) (* (* (- 1 (pow a 4)) (* (* a a) (- 27 (pow a 3)))) (+ (+ (pow a 4) 81) (* (* a a) 9))))) (* (* 4 (+ -1 a)) (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 372 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (* (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) 4) (+ (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 1) (* b b)))) (* (- 1 (pow a 4)) (* (* (* a a) (- 27 (pow a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (* (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) 4) (+ (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 1) (* b b)))) (* (- 1 (pow a 4)) (* (* (* a a) (- 27 (pow a 3))) (+ (+ (pow a 4) 81) (* (* a a) 9))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 373 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (230 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 1 (pow a 4))) (- 27 (pow a 3))) (+ (* (* a a) 9) (+ (pow a 4) 81)))) (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9))) (* (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (* (- 9 (* a a)) (+ (pow a 3) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 1 (pow a 4))) (- 27 (pow a 3))) (+ (* (* a a) 9) (+ (pow a 4) 81)))) (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9))) (* (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (* (- 9 (* a a)) (+ (pow a 3) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 374 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (219 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))) (* (- (* a a) 1) (- 27 (pow a 3))))) (* (* 4 (* (* (+ a -1) (+ 9 (* a (+ a 3)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) (+ (* (* (* (+ 1 (* a a)) (* (+ a 1) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (+ (* a (+ a 3)) 9)) (* (* (* a a) (* (- 27 (pow a 3)) (- 1 (pow a 4)))) (+ 81 (* (* a a) (+ 9 (* a a)))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))) (* (- (* a a) 1) (- 27 (pow a 3))))) (* (* 4 (* (* (+ a -1) (+ 9 (* a (+ a 3)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) (+ (* (* (* (+ 1 (* a a)) (* (+ a 1) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (+ (* a (+ a 3)) 9)) (* (* (* a a) (* (- 27 (pow a 3)) (- 1 (pow a 4)))) (+ 81 (* (* a a) (+ 9 (* a a)))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 375 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (225 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 1) (* b b)))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (* (+ a 3) (+ -1 a))) (- (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (- (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))))) (* (* (- 9 (* a a)) (- (* a a) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 1) (* b b)))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (* (+ a 3) (+ -1 a))) (- (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (- (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))))) (* (* (- 9 (* a a)) (- (* a a) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 376 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (+ 81 (* (* a a) (+ 9 (* a a))))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a)))))) (* (* (+ a 1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 1) (* b b)))) (* (* (- 27 (pow a 3)) (* (* a a) (- 1 (pow a 4)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (+ 81 (* (* a a) (+ 9 (* a a))))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a)))))) (* (* (+ a 1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 1) (* b b)))) (* (* (- 27 (pow a 3)) (* (* a a) (- 1 (pow a 4)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 377 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ 1 (* a a)) (* (+ a 1) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (+ (* a (+ a 3)) 9)) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (* a a) (- 27 (pow a 3)))) (- 1 (pow a 4)))) (* (* (* 4 (+ a 3)) (- (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* (* (* b b) 2) (* a a)) (+ (pow b 4) (pow a 4))) (* (- (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (* (+ a 1) (- 9 (* a a))))) (* (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (+ 81 (* (* a a) (+ 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ 1 (* a a)) (* (+ a 1) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (+ (* a (+ a 3)) 9)) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (* a a) (- 27 (pow a 3)))) (- 1 (pow a 4)))) (* (* (* 4 (+ a 3)) (- (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* (* (* b b) 2) (* a a)) (+ (pow b 4) (pow a 4))) (* (- (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a))) (* (+ a 1) (- 9 (* a a))))) (* (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (+ 81 (* (* a a) (+ 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 378 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))))) (* (* (- 3 a) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (* (+ a 1) (* b b))))) (* (- 27 (pow a 3)) (* (* (* a a) (- 1 (pow a 4))) (+ (+ (pow a 4) 81) (* (* a a) 9))))) (* (* (* 4 (+ (- 1 a) (* a a))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))))) (* (* (- 3 a) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (* (+ a 1) (* b b))))) (* (- 27 (pow a 3)) (* (* (* a a) (- 1 (pow a 4))) (+ (+ (pow a 4) 81) (* (* a a) 9))))) (* (* (* 4 (+ (- 1 a) (* a a))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 379 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9))) (* (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (* (- (* a a) 1) (- 3 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a))))))) (* (+ (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 1) (* b b)))) (* (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4))))) (* (* (* 4 (+ -1 a)) (- (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9))) (* (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (* (- (* a a) 1) (- 3 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a))))))) (* (+ (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 1) (* b b)))) (* (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4))))) (* (* (* 4 (+ -1 a)) (- (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 380 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (203 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 (* a a)) (+ (* (+ a 3) a) 9)) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (* (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (+ 1 (* a a)) (+ (* (+ a 3) a) 9)) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 1) (* b b)))) (* (* (- 27 (pow a 3)) (* (* a a) (- 1 (pow a 4)))) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* (+ a 3) a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 1 (* a a)) (+ (* (+ a 3) a) 9)) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (* (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (+ 1 (* a a)) (+ (* (+ a 3) a) 9)) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 1) (* b b)))) (* (* (- 27 (pow a 3)) (* (* a a) (- 1 (pow a 4)))) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* (+ a 3) a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 381 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (+ (pow a 3) 1) (- 9 (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)))) (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (* (+ a 1) (* b b))))) (* (* (* (* a a) (- 1 (pow a 4))) (- 27 (pow a 3))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (+ (pow a 3) 1) (- 9 (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)))) (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (* (+ a 1) (* b b))))) (* (* (* (* a a) (- 1 (pow a 4))) (- 27 (pow a 3))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 382 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (* (+ a 1) (* b b))) (- 729 (* (pow a 3) (pow a 3))))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4))))) (* (* (* 4 (+ -1 a)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* (- 27 (pow a 3)) (- (* a a) 1))) (* (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (+ 81 (* (* a a) (+ 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (* (+ a 1) (* b b))) (- 729 (* (pow a 3) (pow a 3))))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4))))) (* (* (* 4 (+ -1 a)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* (- 27 (pow a 3)) (- (* a a) 1))) (* (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (+ 81 (* (* a a) (+ 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 383 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 1) (* b b)))) (* (* (- 27 (pow a 3)) (* (* a a) (- 1 (pow a 4)))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (* (* 4 (+ a 3)) (- a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a)))) (* (- 9 (* a a)) (- (* a a) 1))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (+ 81 (* (* a a) (+ 9 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 1) (* b b)))) (* (* (- 27 (pow a 3)) (* (* a a) (- 1 (pow a 4)))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (* (* 4 (+ a 3)) (- a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a)))) (* (- 9 (* a a)) (- (* a a) 1))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (+ 81 (* (* a a) (+ 9 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 384 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (188 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 1 (pow a 4))) (- 27 (pow a 3))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (+ 36 (* 4 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ a 1) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (+ 81 (* (* a a) (+ 9 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 1 (pow a 4))) (- 27 (pow a 3))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (+ 36 (* 4 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ a 1) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (+ 81 (* (* a a) (+ 9 (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 385 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ 3 a)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ a 1) (- 9 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))))) (* (+ (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 1) (* b b)))) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4))))) (* (* (+ a 3) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ a 1) (- 9 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))))) (* (+ (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 1) (* b b)))) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4))))) (* (* (+ a 3) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 386 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (201 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (- 3 a) (+ (pow a 3) 1))) (* (* (+ 1 (* a a)) (+ (* (+ a 3) a) 9)) (+ 81 (* (* a a) (+ 9 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (+ 1 (* a a)) (+ (* (+ a 3) a) 9)) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 1 (pow a 4))) (- 27 (pow a 3))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (+ (- 1 a) (* a a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (- 3 a) (+ (pow a 3) 1))) (* (* (+ 1 (* a a)) (+ (* (+ a 3) a) 9)) (+ 81 (* (* a a) (+ 9 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (+ 1 (* a a)) (+ (* (+ a 3) a) 9)) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 1 (pow a 4))) (- 27 (pow a 3))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (+ (- 1 a) (* a a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 387 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- a 1)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a)))) (* (- 3 a) (- (* a a) 1))) (* (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (+ 81 (* (* a a) (+ 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (+ 1 (* a a)) (* (+ a 1) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (+ (* a (+ a 3)) 9)) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3))))) (* (* (+ a -1) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a)))) (* (- 3 a) (- (* a a) 1))) (* (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (+ 81 (* (* a a) (+ 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (+ 1 (* a a)) (* (+ a 1) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (+ (* a (+ a 3)) 9)) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3))))) (* (* (+ a -1) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (- a 1))))) 1)) * * * * [misc]progress: [ 388 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (216 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ a 1) (- 3 a))) (* (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (+ 81 (* (* a a) (+ 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 1) (* b b)))) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))))) (* (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) 4))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ a 1) (- 3 a))) (* (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (+ 81 (* (* a a) (+ 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 1) (* b b)))) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))))) (* (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) 4))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 389 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ a 1) (- 3 a))) (* (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (+ 81 (* (* a a) (+ 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* a a) (* b b))) 3)))) (* (+ (* (* (* (+ 1 (* a a)) (* (+ a 1) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (+ (* a (+ a 3)) 9)) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4))))) (* (* 4 (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* a a) (* b b))) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ a 1) (- 3 a))) (* (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (+ 81 (* (* a a) (+ 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* a a) (* b b))) 3)))) (* (+ (* (* (* (+ 1 (* a a)) (* (+ a 1) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (+ (* a (+ a 3)) 9)) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4))))) (* (* 4 (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* a a) (* b b))) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 390 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (216 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 9 (* a a)) (+ 1 (* a a))) (+ (* a (+ a 3)) 9))) (* (* (- 27 (pow a 3)) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* a a) (- 27 (pow a 3))) (* (+ 9 (* a a)) (- 1 (pow a 4)))) (* (* (* (+ 1 (* a a)) (+ a 1)) (* (- 81 (pow a 4)) (* b b))) (+ (* a (+ a 3)) 9)))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ (* a (+ a 3)) 9))) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 9 (* a a)) (+ 1 (* a a))) (+ (* a (+ a 3)) 9))) (* (* (- 27 (pow a 3)) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* a a) (- 27 (pow a 3))) (* (+ 9 (* a a)) (- 1 (pow a 4)))) (* (* (* (+ 1 (* a a)) (+ a 1)) (* (- 81 (pow a 4)) (* b b))) (+ (* a (+ a 3)) 9)))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ (* a (+ a 3)) 9))) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 391 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 9 (* a a)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (* (* b b) (+ a 1)))) (- 81 (pow a 4))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (* (* (+ 9 (* a a)) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 9 (* a a)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (* (* b b) (+ a 1)))) (- 81 (pow a 4))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (* (* (+ 9 (* a a)) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 392 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (211 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* a a) 1) (- 27 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (* (+ 9 (* a a)) (+ 1 (* a a))) (+ (* (+ a 3) a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ 9 (* a a)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (+ (* (+ a 3) a) 9) (* (* (+ 1 (* a a)) (+ a 1)) (* (- 81 (pow a 4)) (* b b)))))) (* (* 4 (* (+ -1 a) (+ 9 (* (+ a 3) a)))) (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (* a a) 1) (- 27 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (* (+ 9 (* a a)) (+ 1 (* a a))) (+ (* (+ a 3) a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ 9 (* a a)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (+ (* (+ a 3) a) 9) (* (* (+ 1 (* a a)) (+ a 1)) (* (- 81 (pow a 4)) (* b b)))))) (* (* 4 (* (+ -1 a) (+ 9 (* (+ a 3) a)))) (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 393 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (217 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (- (* a a) 1) (- 9 (* a a))) (* (+ (* a (+ a 3)) 9) (* (+ 9 (* a a)) (+ 1 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 9 (* a a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (* (* (* (* b b) (+ a 1)) (- 81 (pow a 4))) (+ (* a (+ a 3)) 9)) (+ 1 (* a a))))) (* (* 4 (* (+ a 3) (+ -1 a))) (+ (* (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (- (* a a) 1) (- 9 (* a a))) (* (+ (* a (+ a 3)) 9) (* (+ 9 (* a a)) (+ 1 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 9 (* a a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (* (* (* (* b b) (+ a 1)) (- 81 (pow a 4))) (+ (* a (+ a 3)) 9)) (+ 1 (* a a))))) (* (* 4 (* (+ a 3) (+ -1 a))) (+ (* (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 394 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (201 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ 9 (* a a)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (* (* (+ 1 (* a a)) (* (* b b) (+ a 1))) (- 81 (pow a 4))) (+ (* (+ a 3) a) 9)))) (* (* 4 (+ (* (+ a 3) a) 9)) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ a 1) (- 27 (pow a 3)))) (* (* (+ (* (+ a 3) a) 9) (* (+ 9 (* a a)) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ 9 (* a a)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (* (* (+ 1 (* a a)) (* (* b b) (+ a 1))) (- 81 (pow a 4))) (+ (* (+ a 3) a) 9)))) (* (* 4 (+ (* (+ a 3) a) 9)) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ a 1) (- 27 (pow a 3)))) (* (* (+ (* (+ a 3) a) 9) (* (+ 9 (* a a)) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 395 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* a a) (- 27 (pow a 3))) (* (+ 9 (* a a)) (- 1 (pow a 4)))) (* (* (* (* (* b b) (+ a 1)) (- 81 (pow a 4))) (+ (* a (+ a 3)) 9)) (+ 1 (* a a))))) (* (* 4 (+ a 3)) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (+ (* a (+ a 3)) 9) (* (+ 9 (* a a)) (+ 1 (* a a)))) (* (- 9 (* a a)) (+ a 1))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* a a) (- 27 (pow a 3))) (* (+ 9 (* a a)) (- 1 (pow a 4)))) (* (* (* (* (* b b) (+ a 1)) (- 81 (pow a 4))) (+ (* a (+ a 3)) 9)) (+ 1 (* a a))))) (* (* 4 (+ a 3)) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (+ (* a (+ a 3)) 9) (* (+ 9 (* a a)) (+ 1 (* a a)))) (* (- 9 (* a a)) (+ a 1))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 396 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ (* a (+ a 3)) 9) (* (+ 9 (* a a)) (+ 1 (* a a))))) (* (* (- 3 a) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 9 (* a a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (* (* (* (* b b) (+ a 1)) (- 81 (pow a 4))) (+ (* a (+ a 3)) 9)) (+ 1 (* a a))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ (* a (+ a 3)) 9) (* (+ 9 (* a a)) (+ 1 (* a a))))) (* (* (- 3 a) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 9 (* a a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (* (* (* (* b b) (+ a 1)) (- 81 (pow a 4))) (+ (* a (+ a 3)) 9)) (+ 1 (* a a))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 397 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (205 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (* (* (+ 9 (* a a)) (* (- 3 a) (+ (* a a) -1))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 9 (* a a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (* (* b b) (+ a 1))) (- 81 (pow a 4)))))) (* (* 4 (+ a -1)) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (* (* (+ 9 (* a a)) (* (- 3 a) (+ (* a a) -1))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 9 (* a a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (* (* b b) (+ a 1))) (- 81 (pow a 4)))))) (* (* 4 (+ a -1)) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 398 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (208 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (+ 9 (* a a)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (+ 1 (* a a)) (* (+ (* a (+ a 3)) 9) (* (* (* b b) (+ a 1)) (- 81 (pow a 4)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ (* a (+ a 3)) 9))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (* (+ (* a (+ a 3)) 9) (* (+ 9 (* a a)) (+ 1 (* a a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (* (+ 9 (* a a)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (+ 1 (* a a)) (* (+ (* a (+ a 3)) 9) (* (* (* b b) (+ a 1)) (- 81 (pow a 4)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ (* a (+ a 3)) 9))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (* (+ (* a (+ a 3)) 9) (* (+ 9 (* a a)) (+ 1 (* a a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 399 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 9 (* a a)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (- 81 (pow a 4)) (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (* (* b b) (+ a 1)))))) (* (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a (+ a 3)) 9) (* (+ 9 (* a a)) (+ 1 (* a a))))) (* (* (+ (pow a 3) 1) (- 9 (* a a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 9 (* a a)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (- 81 (pow a 4)) (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (* (* b b) (+ a 1)))))) (* (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a (+ a 3)) 9) (* (+ 9 (* a a)) (+ 1 (* a a))))) (* (* (+ (pow a 3) 1) (- 9 (* a a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 400 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (203 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (* (- a 1) (+ 9 (* (+ a 3) a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) 4) (+ (* (* (+ 9 (* a a)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ (* (+ a 3) a) 9) (* (+ 1 (* a a)) (* (* b b) (+ a 1)))) (- 81 (pow a 4))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) (* (* (- 27 (pow a 3)) (- (* a a) 1)) (* (+ (* (+ a 3) a) 9) (* (+ 9 (* a a)) (+ 1 (* a a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (* (- a 1) (+ 9 (* (+ a 3) a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) 4) (+ (* (* (+ 9 (* a a)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ (* (+ a 3) a) 9) (* (+ 1 (* a a)) (* (* b b) (+ a 1)))) (- 81 (pow a 4))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) (* (* (- 27 (pow a 3)) (- (* a a) 1)) (* (+ (* (+ a 3) a) 9) (* (+ 9 (* a a)) (+ 1 (* a a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 401 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 9 (* a a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (+ 1 (* a a)) (* (+ (* a (+ a 3)) 9) (* (* (* b b) (+ a 1)) (- 81 (pow a 4)))))) (* (* (* 4 (* (+ -1 a) (+ a 3))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (* (+ (* a (+ a 3)) 9) (* (+ 9 (* a a)) (+ 1 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 9 (* a a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (+ 1 (* a a)) (* (+ (* a (+ a 3)) 9) (* (* (* b b) (+ a 1)) (- 81 (pow a 4)))))) (* (* (* 4 (* (+ -1 a) (+ a 3))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (* (+ (* a (+ a 3)) 9) (* (+ 9 (* a a)) (+ 1 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 402 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 9 (* a a)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (+ 1 (* a a)) (* (+ (* a (+ a 3)) 9) (* (* (* b b) (+ a 1)) (- 81 (pow a 4)))))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (- (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (- (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)) (* (+ a 1) (- 27 (pow a 3))))) (* (* (* (+ 9 (* a a)) (+ 1 (* a a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 9 (* a a)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (+ 1 (* a a)) (* (+ (* a (+ a 3)) 9) (* (* (* b b) (+ a 1)) (- 81 (pow a 4)))))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (- (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (- (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)) (* (+ a 1) (- 27 (pow a 3))))) (* (* (* (+ 9 (* a a)) (+ 1 (* a a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 403 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 9 (* a a)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (* (* (* (* b b) (+ a 1)) (- 81 (pow a 4))) (+ (* a (+ a 3)) 9)) (+ 1 (* a a)))) (* (* (* 4 (+ a 3)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (* a (+ a 3)) 9) (* (+ 9 (* a a)) (+ 1 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b)))))) (* (* (+ a 1) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 9 (* a a)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (* (* (* (* b b) (+ a 1)) (- 81 (pow a 4))) (+ (* a (+ a 3)) 9)) (+ 1 (* a a)))) (* (* (* 4 (+ a 3)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (* a (+ a 3)) 9) (* (+ 9 (* a a)) (+ 1 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b)))))) (* (* (+ a 1) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 404 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 9 (* a a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (* (* b b) (+ a 1)))) (- 81 (pow a 4)))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (+ (* a (+ a 3)) 9) (* (+ 9 (* a a)) (+ 1 (* a a)))) (* (- 3 a) (+ (pow a 3) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 9 (* a a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (* (* b b) (+ a 1)))) (- 81 (pow a 4)))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (+ (* a (+ a 3)) 9) (* (+ 9 (* a a)) (+ 1 (* a a)))) (* (- 3 a) (+ (pow a 3) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 405 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a (+ a 3)) 9) (* (+ 9 (* a a)) (+ 1 (* a a))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (- 3 a) (+ (* a a) -1)))) (* (+ (* (* (+ 9 (* a a)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (+ 1 (* a a)) (* (+ (* a (+ a 3)) 9) (* (* (* b b) (+ a 1)) (- 81 (pow a 4)))))) (* (* (* 4 (- a 1)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a (+ a 3)) 9) (* (+ 9 (* a a)) (+ 1 (* a a))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (- 3 a) (+ (* a a) -1)))) (* (+ (* (* (+ 9 (* a a)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (+ 1 (* a a)) (* (+ (* a (+ a 3)) 9) (* (* (* b b) (+ a 1)) (- 81 (pow a 4)))))) (* (* (* 4 (- a 1)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 406 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (187 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (* (+ 9 (* a a)) (+ 1 (* a a))) (+ (* (+ a 3) a) 9)))) (* (- 27 (pow a 3)) (+ (pow a 3) 1))) (* (+ (* (* (+ 9 (* a a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (* (+ (* (+ a 3) a) 9) (* (+ 1 (* a a)) (* (* b b) (+ a 1)))) (- 81 (pow a 4)))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* (+ a 3) a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (* (+ 9 (* a a)) (+ 1 (* a a))) (+ (* (+ a 3) a) 9)))) (* (- 27 (pow a 3)) (+ (pow a 3) 1))) (* (+ (* (* (+ 9 (* a a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (* (+ (* (+ a 3) a) 9) (* (+ 1 (* a a)) (* (* b b) (+ a 1)))) (- 81 (pow a 4)))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* (+ a 3) a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 407 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 9 (* a a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (* (* b b) (+ a 1)))) (- 81 (pow a 4)))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a (+ a 3)) 9) (* (+ 9 (* a a)) (+ 1 (* a a))))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 9 (* a a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (* (* b b) (+ a 1)))) (- 81 (pow a 4)))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a (+ a 3)) 9) (* (+ 9 (* a a)) (+ 1 (* a a))))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 408 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 9 (* a a)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (+ 1 (* a a)) (* (+ (* a (+ a 3)) 9) (* (* (* b b) (+ a 1)) (- 81 (pow a 4)))))) (* (* (* 4 (+ -1 a)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (- (* a a) 1) (- 27 (pow a 3))) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (* (* (+ 9 (* a a)) (+ 1 (* a a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 9 (* a a)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (+ 1 (* a a)) (* (+ (* a (+ a 3)) 9) (* (* (* b b) (+ a 1)) (- 81 (pow a 4)))))) (* (* (* 4 (+ -1 a)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (- (* a a) 1) (- 27 (pow a 3))) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (* (* (+ 9 (* a a)) (+ 1 (* a a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 409 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (188 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (* (* (+ 9 (* a a)) (* (- 9 (* a a)) (+ (* a a) -1))) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (+ 9 (* a a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (+ 1 (* a a)) (* (+ (* a (+ a 3)) 9) (* (* (* b b) (+ a 1)) (- 81 (pow a 4)))))) (* (* 4 (* (+ a 3) (- a 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* a (+ a 3)) 9) (+ 1 (* a a))) (* (* (* (+ 9 (* a a)) (* (- 9 (* a a)) (+ (* a a) -1))) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (+ 9 (* a a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (+ 1 (* a a)) (* (+ (* a (+ a 3)) 9) (* (* (* b b) (+ a 1)) (- 81 (pow a 4)))))) (* (* 4 (* (+ a 3) (- a 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 410 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* a a) (- 27 (pow a 3))) (* (+ 9 (* a a)) (- 1 (pow a 4)))) (* (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (* (* b b) (+ a 1)))) (- 81 (pow a 4)))) (* (+ (* (* a (+ a 3)) 4) 36) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ a 1) (- 27 (pow a 3))) (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (* (+ (* a (+ a 3)) 9) (* (+ 9 (* a a)) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* a a) (- 27 (pow a 3))) (* (+ 9 (* a a)) (- 1 (pow a 4)))) (* (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (* (* b b) (+ a 1)))) (- 81 (pow a 4)))) (* (+ (* (* a (+ a 3)) 4) 36) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ a 1) (- 27 (pow a 3))) (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (* (+ (* a (+ a 3)) 9) (* (+ 9 (* a a)) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 411 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ 3 a)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 9 (* a a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (- 81 (pow a 4)) (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (* (* b b) (+ a 1)))))) (* (+ (* a 4) 12) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (* (* (+ 9 (* a a)) (+ 1 (* a a))) (+ (* a (+ a 3)) 9))) (* (+ a 1) (- 9 (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 9 (* a a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (- 81 (pow a 4)) (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (* (* b b) (+ a 1)))))) (* (+ (* a 4) 12) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (* (* (+ 9 (* a a)) (+ 1 (* a a))) (+ (* a (+ a 3)) 9))) (* (+ a 1) (- 9 (* a a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 412 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (+ (* (+ a 3) a) 9) (* (+ 9 (* a a)) (+ 1 (* a a))))) (* (+ (pow a 3) 1) (- 3 a)))) (* (+ (* (* (+ 9 (* a a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (* (* (+ 1 (* a a)) (* (* b b) (+ a 1))) (- 81 (pow a 4))) (+ (* (+ a 3) a) 9))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (+ (* (+ a 3) a) 9) (* (+ 9 (* a a)) (+ 1 (* a a))))) (* (+ (pow a 3) 1) (- 3 a)))) (* (+ (* (* (+ 9 (* a a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (* (* (+ 1 (* a a)) (* (* b b) (+ a 1))) (- 81 (pow a 4))) (+ (* (+ a 3) a) 9))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 413 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- a 1)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (+ a 3) a) 9) (* (+ 9 (* a a)) (+ 1 (* a a))))) (* (* (+ (* a a) -1) (- 3 a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a))))) (* (+ (* (* (+ 9 (* a a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (+ a 1))) (+ (* (+ a 3) a) 9))) (* (* (+ -1 a) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (+ a 3) a) 9) (* (+ 9 (* a a)) (+ 1 (* a a))))) (* (* (+ (* a a) -1) (- 3 a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a))))) (* (+ (* (* (+ 9 (* a a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (+ a 1))) (+ (* (+ a 3) a) 9))) (* (* (+ -1 a) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (- a 1))))) 1)) * * * * [misc]progress: [ 414 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (* a a) (- 27 (pow a 3))) (* (+ 9 (* a a)) (- 1 (pow a 4)))) (* (* (+ (* (+ a 3) a) 9) (* (+ 1 (* a a)) (* (* b b) (+ a 1)))) (- 81 (pow a 4)))) 4)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ 9 (* a a)) (+ 1 (* a a))) (+ (* (+ a 3) a) 9))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (- 3 a) (+ a 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (* a a) (- 27 (pow a 3))) (* (+ 9 (* a a)) (- 1 (pow a 4)))) (* (* (+ (* (+ a 3) a) 9) (* (+ 1 (* a a)) (* (* b b) (+ a 1)))) (- 81 (pow a 4)))) 4)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ 9 (* a a)) (+ 1 (* a a))) (+ (* (+ a 3) a) 9))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (- 3 a) (+ a 1))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 415 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (* (+ (* a (+ a 3)) 9) (* (+ 9 (* a a)) (+ 1 (* a a)))) (* (- 3 a) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a)))))) (* (+ (* (* (+ 9 (* a a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (+ a 1))) (+ (* a (+ a 3)) 9))) (* (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (* (+ (* a (+ a 3)) 9) (* (+ 9 (* a a)) (+ 1 (* a a)))) (* (- 3 a) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a)))))) (* (+ (* (* (+ 9 (* a a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (+ a 1))) (+ (* a (+ a 3)) 9))) (* (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ 9 (* a a))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 416 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (+ (* a (+ a 3)) 9))) (* (* (+ (pow a 3) 1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (- 9 (* a a))) (* (* b b) (+ (pow a 3) 1)))) (* (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3))))) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (+ (* a (+ a 3)) 9))) (* (* (+ (pow a 3) 1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (- 9 (* a a))) (* (* b b) (+ (pow a 3) 1)))) (* (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3))))) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 417 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ 1 (* a a)) (+ (pow a 3) 1)) (* (- 9 (* a a)) (* b b))) (+ (* a (+ a 3)) 9)) (* (* (* a a) (- 27 (pow a 3))) (* (+ (* a a) (- 1 a)) (- 1 (pow a 4)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ a 3))) (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (+ (* a (+ a 3)) 9)) (* (+ (pow a 3) 1) (- 9 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ 1 (* a a)) (+ (pow a 3) 1)) (* (- 9 (* a a)) (* b b))) (+ (* a (+ a 3)) 9)) (* (* (* a a) (- 27 (pow a 3))) (* (+ (* a a) (- 1 a)) (- 1 (pow a 4)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ a 3))) (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (+ (* a (+ a 3)) 9)) (* (+ (pow a 3) 1) (- 9 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 418 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (216 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (+ (pow a 3) 1)) (* (* b b) (- 9 (* a a))))) (* (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))))) (* (* 4 (* (+ -1 a) (+ 9 (* a (+ a 3))))) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (+ (* a (+ a 3)) 9)) (* (- 27 (pow a 3)) (- (* a a) 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (+ (pow a 3) 1)) (* (* b b) (- 9 (* a a))))) (* (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))))) (* (* 4 (* (+ -1 a) (+ 9 (* a (+ a 3))))) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (+ (* a (+ a 3)) 9)) (* (- 27 (pow a 3)) (- (* a a) 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 419 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) b) (* a a)) 3)) (+ (* (* (+ (pow a 3) 1) (* (- 9 (* a a)) (* b b))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))))) (* (* 4 (* (+ a -1) (+ a 3))) (+ (* (* (* (* b 2) b) (* a a)) (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (+ (* a (+ a 3)) 9) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))) (* (- 9 (* a a)) (- (* a a) 1))) (+ (pow (* (* (* b 2) b) (* a a)) 3) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) b) (* a a)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) b) (* a a)) 3)) (+ (* (* (+ (pow a 3) 1) (* (- 9 (* a a)) (* b b))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))))) (* (* 4 (* (+ a -1) (+ a 3))) (+ (* (* (* (* b 2) b) (* a a)) (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (+ (* a (+ a 3)) 9) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))) (* (- 9 (* a a)) (- (* a a) 1))) (+ (pow (* (* (* b 2) b) (* a a)) 3) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) b) (* a a)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 420 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a (+ a 3)) 9) (* (+ (* a a) (- 1 a)) (+ 1 (* a a))))) (* (* (+ a 1) (- 27 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ 1 (* a a)) (- 9 (* a a))) (* (* b b) (+ (pow a 3) 1))) (+ (* a (+ a 3)) 9)) (* (* (* a a) (- 27 (pow a 3))) (* (+ (* a a) (- 1 a)) (- 1 (pow a 4)))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (* (* b 2) (* b (* a a))) (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a (+ a 3)) 9) (* (+ (* a a) (- 1 a)) (+ 1 (* a a))))) (* (* (+ a 1) (- 27 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ 1 (* a a)) (- 9 (* a a))) (* (* b b) (+ (pow a 3) 1))) (+ (* a (+ a 3)) 9)) (* (* (* a a) (- 27 (pow a 3))) (* (+ (* a a) (- 1 a)) (- 1 (pow a 4)))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (* (* b 2) (* b (* a a))) (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 421 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a (+ a 3)) 9) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))) (* (+ a 1) (- 9 (* a a)))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (+ (pow a 3) 1)) (* (- 9 (* a a)) (* b b)))) (* (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))))) (* (* 4 (+ a 3)) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (* a (+ a 3)) 9) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))) (* (+ a 1) (- 9 (* a a)))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (+ (pow a 3) 1)) (* (- 9 (* a a)) (* b b)))) (* (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))))) (* (* 4 (+ a 3)) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 422 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (208 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a (+ a 3)) 9) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))) (* (- 3 a) (+ (pow a 3) 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)) (+ (* (* (+ (pow a 3) 1) (* (* b b) (- 9 (* a a)))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (* (* (* a a) (- 27 (pow a 3))) (* (+ (* a a) (- 1 a)) (- 1 (pow a 4)))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (* a (+ a 3)) 9) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))) (* (- 3 a) (+ (pow a 3) 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)) (+ (* (* (+ (pow a 3) 1) (* (* b b) (- 9 (* a a)))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (* (* (* a a) (- 27 (pow a 3))) (* (+ (* a a) (- 1 a)) (- 1 (pow a 4)))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 423 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (+ (* a (+ a 3)) 9)) (* (+ (* a a) -1) (- 3 a))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (pow a 3) 1) (* (* b b) (- 9 (* a a)))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))))) (* (* 4 (+ -1 a)) (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (+ (* a (+ a 3)) 9)) (* (+ (* a a) -1) (- 3 a))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (pow a 3) 1) (* (* b b) (- 9 (* a a)))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))))) (* (* 4 (+ -1 a)) (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 424 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (201 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3))))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (* (* (+ 1 (* a a)) (- 9 (* a a))) (* (* b b) (+ (pow a 3) 1))) (+ (* a (+ a 3)) 9)) (* (* (+ (* a a) (- 1 a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))))) (* (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (+ (* a (+ a 3)) 9)) (* (+ (pow a 3) 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3))))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (* (* (+ 1 (* a a)) (- 9 (* a a))) (* (* b b) (+ (pow a 3) 1))) (+ (* a (+ a 3)) 9)) (* (* (+ (* a a) (- 1 a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))))) (* (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (+ (* a (+ a 3)) 9)) (* (+ (pow a 3) 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 425 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ (pow a 3) 1) b) (* b (- 9 (* a a)))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (* (+ (* a a) (- 1 a)) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (+ (* a (+ a 3)) 9)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))) (* (* (+ (pow a 3) 1) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ (pow a 3) 1) b) (* b (- 9 (* a a)))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (* (+ (* a a) (- 1 a)) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (+ (* a (+ a 3)) 9)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))) (* (* (+ (pow a 3) 1) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 426 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (+ (* (+ a 3) a) 9)) (* (- (* a a) 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))) (* (+ (* (* (* (* b b) (- 9 (* a a))) (+ (pow a 3) 1)) (* (+ (* (+ a 3) a) 9) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4))))) (* (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (- a 1) (+ 9 (* (+ a 3) a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (+ (* (+ a 3) a) 9)) (* (- (* a a) 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))) (* (+ (* (* (* (* b b) (- 9 (* a a))) (+ (pow a 3) 1)) (* (+ (* (+ a 3) a) 9) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4))))) (* (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (- a 1) (+ 9 (* (+ a 3) a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 427 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (- 9 (* a a))) (* (* b b) (+ (pow a 3) 1)))) (* (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (* (+ a 3) (+ -1 a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (+ (* a (+ a 3)) 9)) (* (- (* a a) 1) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (- 9 (* a a))) (* (* b b) (+ (pow a 3) 1)))) (* (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (* (+ a 3) (+ -1 a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (+ (* a (+ a 3)) 9)) (* (- (* a a) 1) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 428 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (* (- 27 (pow a 3)) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))))) (* (+ (* (* (* b b) (* (+ (pow a 3) 1) (- 9 (* a a)))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (* (- 27 (pow a 3)) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))))) (* (+ (* (* (* b b) (* (+ (pow a 3) 1) (- 9 (* a a)))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 429 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (pow a 3) 1) (* (* b b) (- 9 (* a a)))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (+ (* a (+ a 3)) 9)) (* (- 9 (* a a)) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (pow a 3) 1) (* (* b b) (- 9 (* a a)))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (+ (* a (+ a 3)) 9)) (* (- 9 (* a a)) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 430 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))) (* (+ (* a (+ a 3)) 9) (* (+ (* a a) (- 1 a)) (+ 1 (* a a))))) (* (* (- 3 a) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (* (* (+ (pow a 3) 1) b) (* b (- 9 (* a a)))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))) (* (+ (* a (+ a 3)) 9) (* (+ (* a a) (- 1 a)) (+ 1 (* a a))))) (* (* (- 3 a) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (* (* (+ (pow a 3) 1) b) (* b (- 9 (* a a)))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 431 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a (+ a 3)) 9) (* (+ (* a a) (- 1 a)) (+ 1 (* a a))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (- 3 a) (+ (* a a) -1)))) (* (+ (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (- 9 (* a a))) (* (* b b) (+ (pow a 3) 1)))) (* (* (* a a) (- 27 (pow a 3))) (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))))) (* (* (* 4 (- a 1)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a (+ a 3)) 9) (* (+ (* a a) (- 1 a)) (+ 1 (* a a))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (- 3 a) (+ (* a a) -1)))) (* (+ (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (- 9 (* a a))) (* (* b b) (+ (pow a 3) 1)))) (* (* (* a a) (- 27 (pow a 3))) (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))))) (* (* (* 4 (- a 1)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 432 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (pow a 3) 1) (- 27 (pow a 3))) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)))) (* (+ (* (* (* (+ (pow a 3) 1) b) (* b (- 9 (* a a)))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (* (* (* a a) (- 27 (pow a 3))) (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (pow a 3) 1) (- 27 (pow a 3))) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)))) (* (+ (* (* (* (+ (pow a 3) 1) b) (* b (- 9 (* a a)))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (* (* (* a a) (- 27 (pow a 3))) (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 433 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ (pow a 3) 1) (- 9 (* a a)))) (* (* (+ (* a (+ a 3)) 9) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 9 (* a a))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4))))) (* (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ (pow a 3) 1) (- 9 (* a a)))) (* (* (+ (* a (+ a 3)) 9) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 9 (* a a))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4))))) (* (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 434 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ (* a a) -1) (- 27 (pow a 3)))) (* (* (+ (* (+ a 3) a) 9) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (- 9 (* a a)) (* (* b b) (+ (pow a 3) 1))) (* (+ (* (+ a 3) a) 9) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4))))) (* (* (* 4 (+ a -1)) (+ (* (+ a 3) a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ (* a a) -1) (- 27 (pow a 3)))) (* (* (+ (* (+ a 3) a) 9) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (- 9 (* a a)) (* (* b b) (+ (pow a 3) 1))) (* (+ (* (+ a 3) a) 9) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4))))) (* (* (* 4 (+ a -1)) (+ (* (+ a 3) a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 435 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- a 1) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (+ (* a (+ a 3)) 9))) (* (* (- 9 (* a a)) (- (* a a) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (+ (pow a 3) 1) b) (* b (- 9 (* a a)))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4))))) (* (* (* (+ -1 a) (+ a 3)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (+ (* a (+ a 3)) 9))) (* (* (- 9 (* a a)) (- (* a a) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (+ (pow a 3) 1) b) (* b (- 9 (* a a)))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4))))) (* (* (* (+ -1 a) (+ a 3)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 436 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (- 9 (* a a))) (+ (pow a 3) 1)) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4))))) (* (* (+ (* a (+ a 3)) 9) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* a (+ a 3)) 9) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))))) (* (+ a 1) (- 27 (pow a 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (- 9 (* a a))) (+ (pow a 3) 1)) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4))))) (* (* (+ (* a (+ a 3)) 9) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* a (+ a 3)) 9) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))))) (* (+ a 1) (- 27 (pow a 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 437 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (+ 3 a)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 9 (* a a))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3))))) (* (+ 12 (* a 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (+ (* a (+ a 3)) 9)))) (* (- 9 (* a a)) (+ a 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 9 (* a a))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3))))) (* (+ 12 (* a 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (+ (* a (+ a 3)) 9)))) (* (- 9 (* a a)) (+ a 1)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 438 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (* b b)) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (* (* (* a a) (- 27 (pow a 3))) (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))))) (* (* (+ (* a a) (- 1 a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (pow a 3) 1) (- 3 a)) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))))) (* (+ (* a (+ a 3)) 9) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (* b b)) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (* (* (* a a) (- 27 (pow a 3))) (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))))) (* (* (+ (* a a) (- 1 a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (pow a 3) 1) (- 3 a)) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))))) (* (+ (* a (+ a 3)) 9) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 439 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (- a 1)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- 3 a) (- (* a a) 1)) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))) (* (+ (* (+ a 3) a) 9) (* (+ (* a a) (- 1 a)) (+ 1 (* a a))))) (* (+ (* (* (* b b) (* (+ (pow a 3) 1) (- 9 (* a a)))) (* (+ (* (+ a 3) a) 9) (+ 1 (* a a)))) (* (* (* a a) (- 27 (pow a 3))) (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))))) (* (+ (* a 4) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- 3 a) (- (* a a) 1)) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))) (* (+ (* (+ a 3) a) 9) (* (+ (* a a) (- 1 a)) (+ 1 (* a a))))) (* (+ (* (* (* b b) (* (+ (pow a 3) 1) (- 9 (* a a)))) (* (+ (* (+ a 3) a) 9) (+ 1 (* a a)))) (* (* (* a a) (- 27 (pow a 3))) (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))))) (* (+ (* a 4) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (- a 1))))) 1)) * * * * [misc]progress: [ 440 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (+ (pow a 3) 1) (* (* b b) (- 9 (* a a)))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (* (* (* a a) (- 27 (pow a 3))) (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))))) 4) (* (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 3 a) (+ a 1))) (* (* (+ (* a (+ a 3)) 9) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (+ (pow a 3) 1) (* (* b b) (- 9 (* a a)))) (* (+ (* a (+ a 3)) 9) (+ 1 (* a a)))) (* (* (* a a) (- 27 (pow a 3))) (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))))) 4) (* (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 3 a) (+ a 1))) (* (* (+ (* a (+ a 3)) 9) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 441 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (+ (* (+ a 3) a) 9)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))) (* (* (- 3 a) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (+ (* (+ a 3) a) 9) (* (* (+ 1 (* a a)) (+ (pow a 3) 1)) (* (* b b) (- 9 (* a a))))) (* (* (* a a) (- 27 (pow a 3))) (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))))) (* (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (+ (* (+ a 3) a) 9)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))) (* (* (- 3 a) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (+ (* (+ a 3) a) 9) (* (* (+ 1 (* a a)) (+ (pow a 3) 1)) (* (* b b) (- 9 (* a a))))) (* (* (* a a) (- 27 (pow a 3))) (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))))) (* (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 442 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (- a 1))) (* (- 27 (pow a 3)) (+ 1 (pow a 3)))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (- a 1) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (* (* (+ 1 (* a a)) (+ (* a a) -1)) (* (* b b) (- 9 (* a a)))) (+ (* a (+ a 3)) 9)))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (- a 1))) (* (- 27 (pow a 3)) (+ 1 (pow a 3)))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (- a 1) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (* (* (+ 1 (* a a)) (+ (* a a) -1)) (* (* b b) (- 9 (* a a)))) (+ (* a (+ a 3)) 9)))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 443 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (- 9 (* a a)) (+ (pow a 3) 1))) (* (* (* (+ 1 (* a a)) (+ -1 a)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ -1 a) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (- 9 (* a a)) (+ (* a a) -1)) (* b b))))) (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (* (* (* b 2) (* b (* a a))) (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (- 9 (* a a)) (+ (pow a 3) 1))) (* (* (* (+ 1 (* a a)) (+ -1 a)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ -1 a) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (- 9 (* a a)) (+ (* a a) -1)) (* b b))))) (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (* (* (* b 2) (* b (* a a))) (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 444 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (+ -1 a)))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (- (* a a) 1) (- 27 (pow a 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ -1 a) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (- (* a a) 1) b) (* b (- 9 (* a a))))))) (* (* 4 (* (+ (* a (+ a 3)) 9) (+ -1 a))) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (+ -1 a)))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (- (* a a) 1) (- 27 (pow a 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ -1 a) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (- (* a a) 1) b) (* b (- 9 (* a a))))))) (* (* 4 (* (+ (* a (+ a 3)) 9) (+ -1 a))) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 445 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (- a 1) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (- 9 (* a a))) (* (- (* a a) 1) (* b b)))))) (* (* 4 (* (- a 1) (+ a 3))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (- 9 (* a a)) (- (* a a) 1)) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (* (+ 1 (* a a)) (- a 1)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (- a 1) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (- 9 (* a a))) (* (- (* a a) 1) (* b b)))))) (* (* 4 (* (- a 1) (+ a 3))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (- 9 (* a a)) (- (* a a) 1)) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (* (+ 1 (* a a)) (- a 1)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 446 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (* a a)) (+ -1 a)) (+ (* a (+ a 3)) 9)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- 27 (pow a 3)) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ -1 a) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* b b) (* (- (* a a) 1) (- 9 (* a a))))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 1 (* a a)) (+ -1 a)) (+ (* a (+ a 3)) 9)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- 27 (pow a 3)) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ -1 a) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* b b) (* (- (* a a) 1) (- 9 (* a a))))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 447 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ -1 a) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (+ (* a a) -1)) (* (* b b) (- 9 (* a a))))))) (* (* 4 (+ a 3)) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- 9 (* a a)) (+ a 1))) (* (* (* (+ 1 (* a a)) (+ -1 a)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ -1 a) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (+ (* a a) -1)) (* (* b b) (- 9 (* a a))))))) (* (* 4 (+ a 3)) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- 9 (* a a)) (+ a 1))) (* (* (* (+ 1 (* a a)) (+ -1 a)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 448 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (203 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)) (* (* (+ (pow a 3) 1) (- 3 a)) (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (- a 1))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)) (+ (* (* (- a 1) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (- (* a a) 1) (* (* b b) (- 9 (* a a))))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)) (* (* (+ (pow a 3) 1) (- 3 a)) (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (- a 1))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)) (+ (* (* (- a 1) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (- (* a a) 1) (* (* b b) (- 9 (* a a))))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 449 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* a a) -1) (- 3 a))) (* (* (* (+ 1 (* a a)) (- a 1)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (- a 1) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* b b) (- 9 (* a a))) (+ (* a a) -1))))) (* (* 4 (- a 1)) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* a a) -1) (- 3 a))) (* (* (* (+ 1 (* a a)) (- a 1)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (- a 1) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* b b) (- 9 (* a a))) (+ (* a a) -1))))) (* (* 4 (- a 1)) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 450 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (* (+ (* (* 4 (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))))) (+ (* (* (+ -1 a) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (- 9 (* a a))) (* (+ (* a a) -1) (* b b)))))) (* (* (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (+ -1 a))) (* (+ (pow a 3) 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* 4 (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))))) (+ (* (* (+ -1 a) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (- 9 (* a a))) (* (+ (* a a) -1) (* b b)))))) (* (* (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (+ -1 a))) (* (+ (pow a 3) 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 451 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (201 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* a a) (- 27 (pow a 3))) (* (+ a -1) (- 1 (pow a 4)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* b b) (* (+ (* a a) -1) (- 9 (* a a)))))) (* (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* a a) (* b b))) 3)))) (* (* (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (+ a -1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b)))))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* a a) (* b b))) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* a a) (- 27 (pow a 3))) (* (+ a -1) (- 1 (pow a 4)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* b b) (* (+ (* a a) -1) (- 9 (* a a)))))) (* (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* a a) (* b b))) 3)))) (* (* (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (+ a -1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b)))))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* a a) (* b b))) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 452 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ (* (+ a 3) a) 9) (+ a -1))) (+ (* (* (* a a) (- 27 (pow a 3))) (* (+ a -1) (- 1 (pow a 4)))) (* (* (+ 1 (* a a)) (+ (* (+ a 3) a) 9)) (* (* (- 9 (* a a)) (- (* a a) 1)) (* b b))))) (* (* (* (+ (* (+ a 3) a) 9) (* (+ 1 (* a a)) (+ a -1))) (* (- (* a a) 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ (* (+ a 3) a) 9) (+ a -1))) (+ (* (* (* a a) (- 27 (pow a 3))) (* (+ a -1) (- 1 (pow a 4)))) (* (* (+ 1 (* a a)) (+ (* (+ a 3) a) 9)) (* (* (- 9 (* a a)) (- (* a a) 1)) (* b b))))) (* (* (* (+ (* (+ a 3) a) 9) (* (+ 1 (* a a)) (+ a -1))) (* (- (* a a) 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 453 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* a a) (- 27 (pow a 3))) (* (+ -1 a) (- 1 (pow a 4)))) (* (* (* (+ 1 (* a a)) (+ (* a a) -1)) (* (* b b) (- 9 (* a a)))) (+ (* a (+ a 3)) 9))) (* (* (* 4 (* (+ a 3) (+ -1 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (+ -1 a))) (* (+ (* a a) -1) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* a a) (- 27 (pow a 3))) (* (+ -1 a) (- 1 (pow a 4)))) (* (* (* (+ 1 (* a a)) (+ (* a a) -1)) (* (* b b) (- 9 (* a a)))) (+ (* a (+ a 3)) 9))) (* (* (* 4 (* (+ a 3) (+ -1 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (+ -1 a))) (* (+ (* a a) -1) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 454 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) (* (* (- 27 (pow a 3)) (+ a 1)) (* (+ (* (+ a 3) a) 9) (* (+ 1 (* a a)) (+ a -1)))))) (* (+ (* (* (* a a) (- 27 (pow a 3))) (* (+ a -1) (- 1 (pow a 4)))) (* (* (+ 1 (* a a)) (+ (* (+ a 3) a) 9)) (* (* (- (* a a) 1) b) (* b (- 9 (* a a)))))) (* (* (* 4 (+ (* (+ a 3) a) 9)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) (* (* (- 27 (pow a 3)) (+ a 1)) (* (+ (* (+ a 3) a) 9) (* (+ 1 (* a a)) (+ a -1)))))) (* (+ (* (* (* a a) (- 27 (pow a 3))) (* (+ a -1) (- 1 (pow a 4)))) (* (* (+ 1 (* a a)) (+ (* (+ a 3) a) 9)) (* (* (- (* a a) 1) b) (* b (- 9 (* a a)))))) (* (* (* 4 (+ (* (+ a 3) a) 9)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 455 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (188 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* a a) (- 27 (pow a 3))) (* (+ -1 a) (- 1 (pow a 4)))) (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (+ (* a a) -1)) (* (* b b) (- 9 (* a a)))))) (* (* (* 4 (+ a 3)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a))) (* (* (+ a 1) (- 9 (* a a))) (* (* (+ 1 (* a a)) (+ -1 a)) (+ (* a (+ a 3)) 9)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* a a) (- 27 (pow a 3))) (* (+ -1 a) (- 1 (pow a 4)))) (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (+ (* a a) -1)) (* (* b b) (- 9 (* a a)))))) (* (* (* 4 (+ a 3)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a))) (* (* (+ a 1) (- 9 (* a a))) (* (* (+ 1 (* a a)) (+ -1 a)) (+ (* a (+ a 3)) 9)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 456 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (* (- 3 a) (+ 1 (pow a 3))) (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (- a 1))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (+ (* (* (- a 1) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (- 9 (* a a))) (* (+ (* a a) -1) (* b b))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (* (- 3 a) (+ 1 (pow a 3))) (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (- a 1))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (+ (* (* (- a 1) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (+ (* a (+ a 3)) 9) (* (* (+ 1 (* a a)) (- 9 (* a a))) (* (+ (* a a) -1) (* b b))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 457 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ -1 a) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (- (* a a) 1) b) (* b (- 9 (* a a)))))) (* (* (* 4 (+ -1 a)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (* (+ 1 (* a a)) (+ -1 a)) (+ (* a (+ a 3)) 9)) (* (- 3 a) (- (* a a) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ -1 a) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (- (* a a) 1) b) (* b (- 9 (* a a)))))) (* (* (* 4 (+ -1 a)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (* (+ 1 (* a a)) (+ -1 a)) (+ (* a (+ a 3)) 9)) (* (- 3 a) (- (* a a) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 458 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * [exit]simplify: Simplified to (+ (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* (+ a -1) (* (+ (pow a 3) 1) (- 27 (pow a 3)))) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* a a) (- 27 (pow a 3))) (* (+ a -1) (- 1 (pow a 4)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (+ (* a a) -1) (* (* b b) (- 9 (* a a)))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* (+ a -1) (* (+ (pow a 3) 1) (- 27 (pow a 3)))) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* a a) (- 27 (pow a 3))) (* (+ a -1) (- 1 (pow a 4)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (+ (* a a) -1) (* (* b b) (- 9 (* a a)))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 459 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ a -1) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* b b) (* (- (* a a) 1) (- 9 (* a a)))))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)) (* (- 9 (* a a)) (+ (pow a 3) 1)))) (* (* (+ 1 (* a a)) (+ a -1)) (+ (* a (+ a 3)) 9)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ a -1) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* b b) (* (- (* a a) 1) (- 9 (* a a)))))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)) (* (- 9 (* a a)) (+ (pow a 3) 1)))) (* (* (+ 1 (* a a)) (+ a -1)) (+ (* a (+ a 3)) 9)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 460 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (164 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ a -1) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (- (* a a) 1) b) (* b (- 9 (* a a)))))) (* (* (* 4 (+ a -1)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* (+ a -1) (* (- (* a a) 1) (- 27 (pow a 3)))) (+ (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ a -1) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (- (* a a) 1) b) (* b (- 9 (* a a)))))) (* (* (* 4 (+ a -1)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (* (+ a -1) (* (- (* a a) 1) (- 27 (pow a 3)))) (+ (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 461 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- a 1) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ -1 a) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (+ (* a a) -1) (* b b)) (- 9 (* a a))))) (* (* (* (+ a 3) (+ -1 a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (+ -1 a) (* (+ (* a a) -1) (- 9 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ -1 a) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (+ (* a a) -1) (* b b)) (- 9 (* a a))))) (* (* (* (+ a 3) (+ -1 a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (+ -1 a) (* (+ (* a a) -1) (- 9 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 462 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (162 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ a -1) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (- 9 (* a a)) (+ (* a a) -1)) (* b b)))) (* (+ (* 4 (* a (+ a 3))) 36) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (- 27 (pow a 3)) (+ a 1)) (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (* (* (+ 1 (* a a)) (+ a -1)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ a -1) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (- 9 (* a a)) (+ (* a a) -1)) (* b b)))) (* (+ (* 4 (* a (+ a 3))) 36) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (- 27 (pow a 3)) (+ a 1)) (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (* (* (+ 1 (* a a)) (+ a -1)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 463 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (+ 3 a)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- a 1) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (- (* a a) 1) (* (* b b) (- 9 (* a a)))))) (* (* (+ a 3) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (- 9 (* a a)) (+ a 1)) (* (* (+ 1 (* a a)) (- a 1)) (+ (* a (+ a 3)) 9)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- a 1) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (- (* a a) 1) (* (* b b) (- 9 (* a a)))))) (* (* (+ a 3) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (- 9 (* a a)) (+ a 1)) (* (* (+ 1 (* a a)) (- a 1)) (+ (* a (+ a 3)) 9)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (+ 3 a))))) 1)) * * * * [misc]progress: [ 464 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 3 a) (+ (pow a 3) 1)) (+ (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4)))) (* (* (* (+ 1 (* a a)) (+ a -1)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (+ a -1) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* b b) (* (+ (* a a) -1) (- 9 (* a a)))))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 3 a) (+ (pow a 3) 1)) (+ (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4)))) (* (* (* (+ 1 (* a a)) (+ a -1)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (+ a -1) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* b b) (* (+ (* a a) -1) (- 9 (* a a)))))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 465 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (- a 1)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (157 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ a 3) a) 9) (* (+ 1 (* a a)) (+ -1 a))) (* (* (* (- 3 a) (- (* a a) 1)) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (+ -1 a) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ 1 (* a a)) (+ (* (+ a 3) a) 9)) (* (* (* b b) (- 9 (* a a))) (- (* a a) 1)))) (* (+ (* a 4) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (+ a 3) a) 9) (* (+ 1 (* a a)) (+ -1 a))) (* (* (* (- 3 a) (- (* a a) 1)) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (+ -1 a) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ 1 (* a a)) (+ (* (+ a 3) a) 9)) (* (* (* b b) (- 9 (* a a))) (- (* a a) 1)))) (* (+ (* a 4) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (- a 1))))) 1)) * * * * [misc]progress: [ 466 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9))) (* (* (+ -1 a) (* (- 3 a) (+ a 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* 4 (+ (* (* (* a a) (- 27 (pow a 3))) (* (+ -1 a) (- 1 (pow a 4)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (- 9 (* a a)) (- (* a a) 1)) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9))) (* (* (+ -1 a) (* (- 3 a) (+ a 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* 4 (+ (* (* (* a a) (- 27 (pow a 3))) (* (+ -1 a) (- 1 (pow a 4)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (- 9 (* a a)) (- (* a a) 1)) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 467 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ -1 a) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (+ (* a a) -1) (* b b)) (- 9 (* a a))))) (* (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a))))) (* (- 3 a) (+ a 1))) (* (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (+ -1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ -1 a) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ 1 (* a a)) (+ (* a (+ a 3)) 9)) (* (* (+ (* a a) -1) (* b b)) (- 9 (* a a))))) (* (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a))))) (* (- 3 a) (+ a 1))) (* (* (+ (* a (+ a 3)) 9) (* (+ 1 (* a a)) (+ -1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (- a 1)) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 468 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (248 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (+ (* a a) (- 1 a)))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (+ (* (* (+ a 3) (* a a)) (+ 1 (* a a))) (+ a 3))) (* (* (+ (* a a) (- 1 a)) (* (* (* a a) (- 9 (* a a))) (- 1 (pow (* a a) 3)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (+ (* a a) (- 1 a)))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (+ (* (* (+ a 3) (* a a)) (+ 1 (* a a))) (+ a 3))) (* (* (+ (* a a) (- 1 a)) (* (* (* a a) (- 9 (* a a))) (- 1 (pow (* a a) 3)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 469 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (232 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b (* b 2))) (- (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4)))))) (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ a 3) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (* (* a a) (- 9 (* a a))) (- 1 (pow (* a a) 3)))))) (* (* (+ 1 (pow a 3)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (- 9 (* a a)) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ a 3) (+ (* a a) (- 1 a)))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b (* b 2))) (- (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4)))))) (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ a 3) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (* (* a a) (- 9 (* a a))) (- 1 (pow (* a a) 3)))))) (* (* (+ 1 (pow a 3)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (- 9 (* a a)) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ a 3) (+ (* a a) (- 1 a)))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 470 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* 4 (* (+ 9 (* a (+ a 3))) (+ -1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)))) (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ a 3) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3))) (+ 81 (* (* a a) (+ 9 (* a a))))) (+ (* a a) (- 1 a))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ a 3) (+ (* a a) (- 1 a)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (- (* a a) 1) (- 27 (pow a 3))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* 4 (* (+ 9 (* a (+ a 3))) (+ -1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)))) (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ a 3) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3))) (+ 81 (* (* a a) (+ 9 (* a a))))) (+ (* a a) (- 1 a))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ a 3) (+ (* a a) (- 1 a)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (- (* a a) 1) (- 27 (pow a 3))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 471 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (239 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ (pow (* (* (* b 2) (* b a)) a) 3) (pow (+ (pow b 4) (pow a 4)) 3)) (- (* a a) 1)) (* (- 9 (* a a)) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 3 a) (+ (* a a) (- 1 a))))))) (* (* (* 4 (* (- a 1) (+ 3 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4)))))) (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ 3 a) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow (* a a) 3)) (+ (* a a) (- 1 a)))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) (* b a)) a) 3))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (+ (pow (* (* (* b 2) (* b a)) a) 3) (pow (+ (pow b 4) (pow a 4)) 3)) (- (* a a) 1)) (* (- 9 (* a a)) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 3 a) (+ (* a a) (- 1 a))))))) (* (* (* 4 (* (- a 1) (+ 3 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4)))))) (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ 3 a) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow (* a a) 3)) (+ (* a a) (- 1 a)))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) (* b a)) a) 3))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 472 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2)))) (+ (* (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* a a) (* (* b b) 2)) (+ (pow b 4) (pow a 4))) (* (* a a) (* (* b b) 2))))) (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (+ (* (* (+ a 3) (* a a)) (+ 1 (* a a))) (+ a 3))) (* (* (* (- 1 (pow (* a a) 3)) (+ (* a a) (- 1 a))) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (* a a) (- 9 (* a a)))))) (* (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ a 3) (+ (* a a) (- 1 a)))) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (- 27 (pow a 3)) (+ 1 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2)))) (+ (* (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* a a) (* (* b b) 2)) (+ (pow b 4) (pow a 4))) (* (* a a) (* (* b b) 2))))) (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (+ (* (* (+ a 3) (* a a)) (+ 1 (* a a))) (+ a 3))) (* (* (* (- 1 (pow (* a a) 3)) (+ (* a a) (- 1 a))) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (* a a) (- 9 (* a a)))))) (* (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ a 3) (+ (* a a) (- 1 a)))) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (- 27 (pow a 3)) (+ 1 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 473 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (230 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (- 9 (* a a)) (+ 1 a)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 3 a) (+ (* a a) (- 1 a)))))) (* (* (* 4 (+ 3 a)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b (* b 2))) (- (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4)))))) (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ 3 a) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (* (* (* a a) (- 9 (* a a))) (- 1 (pow (* a a) 3))) (+ 81 (* (* a a) (+ 9 (* a a))))) (+ (* a a) (- 1 a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (- 9 (* a a)) (+ 1 a)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 3 a) (+ (* a a) (- 1 a)))))) (* (* (* 4 (+ 3 a)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b (* b 2))) (- (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4)))))) (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ 3 a) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (* (* (* a a) (- 9 (* a a))) (- 1 (pow (* a a) 3))) (+ 81 (* (* a a) (+ 9 (* a a))))) (+ (* a a) (- 1 a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 474 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (230 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ 1 (pow a 3))) (* (- 3 a) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ a 3) (+ (* a a) (- 1 a))))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4))) (* (* a a) (* b (* b 2)))))) (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ a 3) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (* a a) (- 9 (* a a))) (* (* (- 1 (pow (* a a) 3)) (+ (* a a) (- 1 a))) (+ 81 (* (* a a) (+ (* a a) 9)))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ 1 (pow a 3))) (* (- 3 a) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ a 3) (+ (* a a) (- 1 a))))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4))) (* (* a a) (* b (* b 2)))))) (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ a 3) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (* a a) (- 9 (* a a))) (* (* (- 1 (pow (* a a) 3)) (+ (* a a) (- 1 a))) (+ 81 (* (* a a) (+ (* a a) 9)))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 475 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* 4 (- a 1)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))))) (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ 3 a) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (* (* a a) (- 9 (* a a))) (- 1 (pow (* a a) 3)))))) (* (* (+ (* a a) -1) (- 3 a)) (* (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 3 a) (+ (* a a) (- 1 a))))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* 4 (- a 1)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))))) (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ 3 a) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (* (* a a) (- 9 (* a a))) (- 1 (pow (* a a) 3)))))) (* (* (+ (* a a) -1) (- 3 a)) (* (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 3 a) (+ (* a a) (- 1 a))))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 476 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ 3 a) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3))))) (* (* 4 (* (- (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))) (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ 3 a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (* (- (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))) (+ (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4))))) (* (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 3 a) (+ (* a a) (- 1 a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ 3 a) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3))))) (* (* 4 (* (- (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))) (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ 3 a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (* (- (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))) (+ (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4))))) (* (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 3 a) (+ (* a a) (- 1 a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 477 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ a 3) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (* a a) (- 1 a)) (* (* (* a a) (- 9 (* a a))) (- 1 (pow (* a a) 3)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (+ (* a a) (- 1 a)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ a 3) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (* a a) (- 1 a)) (* (* (* a a) (- 9 (* a a))) (- 1 (pow (* a a) 3)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (+ (* a a) (- 1 a)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 478 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (- 27 (pow a 3)) (+ (* a a) -1))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (+ (* a a) (- 1 a)))) (+ 81 (* (* a a) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (+ (* (* (+ a 3) (* a a)) (+ 1 (* a a))) (+ a 3))) (* (* (- 9 (* a a)) (* a a)) (* (* (- 1 (pow (* a a) 3)) (+ (* a a) (- 1 a))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (- a 1) (+ 9 (* a (+ a 3))))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (- 27 (pow a 3)) (+ (* a a) -1))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (+ (* a a) (- 1 a)))) (+ 81 (* (* a a) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (+ (* (* (+ a 3) (* a a)) (+ 1 (* a a))) (+ a 3))) (* (* (- 9 (* a a)) (* a a)) (* (* (- 1 (pow (* a a) 3)) (+ (* a a) (- 1 a))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (- a 1) (+ 9 (* a (+ a 3))))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 479 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ a 3) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (* (- 1 (pow (* a a) 3)) (+ (* a a) (- 1 a))) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (- 9 (* a a)) (* a a)))) (* (* (* 4 (* (- a 1) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (+ (* a a) (- 1 a)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ a 3) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (* (- 1 (pow (* a a) 3)) (+ (* a a) (- 1 a))) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (- 9 (* a a)) (* a a)))) (* (* (* 4 (* (- a 1) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (+ (* a a) (- 1 a)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 480 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ a 3) (+ (* a a) (- 1 a)))) (+ 81 (* (+ (* a a) 9) (* a a))))) (* (* (- 27 (pow a 3)) (+ 1 a)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (+ (* (* (+ a 3) (* a a)) (+ 1 (* a a))) (+ a 3))) (* (* (* (- 9 (* a a)) (* a a)) (* (- 1 (pow (* a a) 3)) (+ (* a a) (- 1 a)))) (+ 81 (* (+ (* a a) 9) (* a a))))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ a 3) (+ (* a a) (- 1 a)))) (+ 81 (* (+ (* a a) 9) (* a a))))) (* (* (- 27 (pow a 3)) (+ 1 a)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (+ (* (* (+ a 3) (* a a)) (+ 1 (* a a))) (+ a 3))) (* (* (* (- 9 (* a a)) (* a a)) (* (- 1 (pow (* a a) 3)) (+ (* a a) (- 1 a)))) (+ 81 (* (+ (* a a) 9) (* a a))))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 481 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (* (* (* a a) (- 9 (* a a))) (- 1 (pow (* a a) 3))) (+ 81 (* (* a a) (+ (* a a) 9)))) (+ (* a a) (- 1 a)))) (* (* (* 4 (+ 3 a)) (- (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (* (- (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)) (+ (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (+ (* a a) (- 1 a)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (+ 1 a) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (* (* (* a a) (- 9 (* a a))) (- 1 (pow (* a a) 3))) (+ 81 (* (* a a) (+ (* a a) 9)))) (+ (* a a) (- 1 a)))) (* (* (* 4 (+ 3 a)) (- (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (* (- (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)) (+ (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (+ (* a a) (- 1 a)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (+ 1 a) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 482 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ a 3) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (+ (* a a) (- 1 a)) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (* (* a a) (- 9 (* a a))) (- 1 (pow (* a a) 3)))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (+ 1 (pow a 3)) (- 3 a))) (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ a 3) (+ (* a a) (- 1 a)))) (+ 81 (* (* a a) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ a 3) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (+ (* a a) (- 1 a)) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (* (* a a) (- 9 (* a a))) (- 1 (pow (* a a) 3)))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (+ 1 (pow a 3)) (- 3 a))) (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ a 3) (+ (* a a) (- 1 a)))) (+ 81 (* (* a a) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 483 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 3 a) (+ (* a a) -1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a))))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (+ (* a a) (- 1 a)))) (+ 81 (* (+ (* a a) 9) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (+ (* a a) (- 1 a)) (* (+ 81 (* (+ (* a a) 9) (* a a))) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3)))))) (* (* (* 4 (+ -1 a)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 3 a) (+ (* a a) -1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a))))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (+ (* a a) (- 1 a)))) (+ 81 (* (+ (* a a) 9) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (+ (* a a) (- 1 a)) (* (+ 81 (* (+ (* a a) 9) (* a a))) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3)))))) (* (* (* 4 (+ -1 a)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 484 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (219 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ a 3) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (+ 81 (* (+ (* a a) 9) (* a a))) (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow (* a a) 3)) (+ (* a a) (- 1 a)))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (+ (* a a) (- 1 a)))) (+ 81 (* (+ (* a a) 9) (* a a)))) (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ a 3) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (+ 81 (* (+ (* a a) 9) (* a a))) (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow (* a a) 3)) (+ (* a a) (- 1 a)))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (+ (* a a) (- 1 a)))) (+ 81 (* (+ (* a a) 9) (* a a)))) (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 485 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (203 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (+ (* a a) (- 1 a)))) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ a 3) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (+ (* a a) (- 1 a)) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3)))))) (* (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (+ (* a a) (- 1 a)))) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ a 3) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (+ (* a a) (- 1 a)) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3)))))) (* (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 486 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (* a a) (- 1 a)) (* (* (* a a) (- 9 (* a a))) (- 1 (pow (* a a) 3)))))) (* (* (* 4 (- a 1)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ a 3) (+ (* a a) (- 1 a)))) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (* (+ (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4))) (* (+ (* a a) -1) (- 27 (pow a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (* a a) (- 1 a)) (* (* (* a a) (- 9 (* a a))) (- 1 (pow (* a a) 3)))))) (* (* (* 4 (- a 1)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ a 3) (+ (* a a) (- 1 a)))) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (* (+ (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4))) (* (+ (* a a) -1) (- 27 (pow a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 487 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ 3 a))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (+ (* a a) (- 1 a)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ (* a a) -1) (- 9 (* a a))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ a 3) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (+ (* a a) (- 1 a)) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (* (* a a) (- 9 (* a a))) (- 1 (pow (* a a) 3)))))) (* (* (* 4 (+ a -1)) (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (+ (* a a) (- 1 a)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ (* a a) -1) (- 9 (* a a))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ a 3) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (+ (* a a) (- 1 a)) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (* (* a a) (- 9 (* a a))) (- 1 (pow (* a a) 3)))))) (* (* (* 4 (+ a -1)) (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 488 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (217 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (+ (* a a) (- 1 a)) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3)))))) (* (* (+ 9 (* a (+ 3 a))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3)))) (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (* (+ 1 a) (- 27 (pow a 3)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (+ (* a a) (- 1 a)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (+ (* a a) (- 1 a)) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3)))))) (* (* (+ 9 (* a (+ 3 a))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3)))) (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (* (+ 1 a) (- 27 (pow a 3)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (+ (* a a) (- 1 a)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 489 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ 3 a)) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (201 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 3 a) (+ (* a a) (- 1 a))))) (* (* (- 9 (* a a)) (+ 1 a)) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ 3 a) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (+ (* 4 a) 12) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 3 a) (+ (* a a) (- 1 a))))) (* (* (- 9 (* a a)) (+ 1 a)) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ 3 a) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (+ (* 4 a) 12) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 490 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (201 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (- 9 (* a a)) (* a a)) (* (* (- 1 (pow (* a a) 3)) (+ (* a a) (- 1 a))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (* (+ (* a a) (- 1 a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (+ (* a a) (- 1 a))))) (* (* (* (- 3 a) (+ 1 (pow a 3))) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (- 9 (* a a)) (* a a)) (* (* (- 1 (pow (* a a) 3)) (+ (* a a) (- 1 a))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (* (+ (* a a) (- 1 a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (+ (* a a) (- 1 a))))) (* (* (* (- 3 a) (+ 1 (pow a 3))) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 491 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- a 1)) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (+ (* (* (+ a 3) (* a a)) (+ 1 (* a a))) (+ a 3))) (* (* (* (* (* a a) (- 9 (* a a))) (- 1 (pow (* a a) 3))) (+ 81 (* (* a a) (+ (* a a) 9)))) (+ (* a a) (- 1 a)))) (* (+ (* a 4) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (+ (* a a) (- 1 a)))) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (* (* (+ (* a a) -1) (- 3 a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (+ (* (* (+ a 3) (* a a)) (+ 1 (* a a))) (+ a 3))) (* (* (* (* (* a a) (- 9 (* a a))) (- 1 (pow (* a a) 3))) (+ 81 (* (* a a) (+ (* a a) 9)))) (+ (* a a) (- 1 a)))) (* (+ (* a 4) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (+ (* a a) (- 1 a)))) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (* (* (+ (* a a) -1) (- 3 a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (- a 1))))) 1)) * * * * [misc]progress: [ 492 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (228 enodes) * [exit]simplify: Simplified to (* (+ (* (* 4 (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))))) (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (+ (* a a) (- 1 a)) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3))))))) (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (+ (* a a) (- 1 a))))) (* (* (- 3 a) (+ 1 a)) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* 4 (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))))) (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (+ (* a a) (- 1 a)) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3))))))) (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (+ (* a a) (- 1 a))))) (* (* (- 3 a) (+ 1 a)) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 493 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ a 3) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (* (- 9 (* a a)) (* a a)) (* (- 1 (pow (* a a) 3)) (+ (* a a) (- 1 a)))))) (* (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (- 3 a) (+ 1 a)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (+ (* a a) (- 1 a)))) (+ 81 (* (* a a) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ a 3) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (* (- 9 (* a a)) (* a a)) (* (- 1 (pow (* a a) 3)) (+ (* a a) (- 1 a)))))) (* (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (- 3 a) (+ 1 a)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (+ (* a a) (- 1 a)))) (+ 81 (* (* a a) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 494 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (239 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) (* b a)) a) 3)) (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (- 9 (* a a)) (* a a)) (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (- 1 (pow (* a a) 3)))))) (* (* 4 (* (+ (* a (+ a 3)) 9) (+ (* a a) (- 1 a)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) (* b a)) a) 3)) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (- 27 (pow a 3)) (+ (pow a 3) 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) (* b a)) a) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) (* b a)) a) 3)) (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (- 9 (* a a)) (* a a)) (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (- 1 (pow (* a a) 3)))))) (* (* 4 (* (+ (* a (+ a 3)) 9) (+ (* a a) (- 1 a)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) (* b a)) a) 3)) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (- 27 (pow a 3)) (+ (pow a 3) 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) (* b a)) a) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 495 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (223 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ a 3) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))))) (* (* (+ (pow a 3) 1) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a 3))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (- 9 (* a a))) (* (- 1 (pow (* a a) 3)) (* a a))))) (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ a 3) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))))) (* (* (+ (pow a 3) 1) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a 3))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (- 9 (* a a))) (* (- 1 (pow (* a a) 3)) (* a a))))) (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 496 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (245 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ a 3) (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (- 27 (pow a 3)) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a 3))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (- 9 (* a a))) (* (- 1 (pow (* a a) 3)) (* a a))))) (* (* 4 (* (- a 1) (+ 9 (* a (+ a 3))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (* 2 (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ a 3) (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (- 27 (pow a 3)) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a 3))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (- 9 (* a a))) (* (- 1 (pow (* a a) 3)) (* a a))))) (* (* 4 (* (- a 1) (+ 9 (* a (+ a 3))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (* 2 (* (* b b) (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 497 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (230 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 3 a))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (- 1 (pow (* a a) 3))) (* (- 9 (* a a)) (* a a))))) (* (* 4 (* (+ -1 a) (+ 3 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 9 (* a a)) (- (* a a) 1))) (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 3 a) (+ (* a a) (- 1 a)))) (+ (* a a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 3 a))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (- 1 (pow (* a a) 3))) (* (- 9 (* a a)) (* a a))))) (* (* 4 (* (+ -1 a) (+ 3 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 9 (* a a)) (- (* a a) 1))) (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 3 a) (+ (* a a) (- 1 a)))) (+ (* a a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 498 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (237 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a))))) (* (- 1 (pow (* a a) 3)) (* (* (- 9 (* a a)) (* a a)) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))))) (* (* 4 (+ (* a (+ 3 a)) 9)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ 3 a) (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (- 27 (pow a 3)) (+ 1 a)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a))))) (* (- 1 (pow (* a a) 3)) (* (* (- 9 (* a a)) (* a a)) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))))) (* (* 4 (+ (* a (+ 3 a)) 9)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ 3 a) (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (- 27 (pow a 3)) (+ 1 a)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 499 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a 3))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (+ 1 a) (- 9 (* a a)))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a 3))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- 9 (* a a)) (* a a))) (- 1 (pow (* a a) 3))))) (* (* 4 (+ a 3)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a 3))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (+ 1 a) (- 9 (* a a)))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a 3))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- 9 (* a a)) (* a a))) (- 1 (pow (* a a) 3))))) (* (* 4 (+ a 3)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 500 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a 3))) (* (- 1 (pow (* a a) 3)) (* (* (- 9 (* a a)) (* a a)) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (- (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4))))))) (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ a 3) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (- 3 a) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a 3))) (* (- 1 (pow (* a a) 3)) (* (* (- 9 (* a a)) (* a a)) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (- (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4))))))) (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ a 3) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (- 3 a) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 501 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ 3 a) (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (- 3 a) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 3 a))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (- 9 (* a a))) (* (- 1 (pow (* a a) 3)) (* a a))))) (* (* 4 (- a 1)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b a)) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ 3 a) (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (- 3 a) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 3 a))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (- 9 (* a a))) (* (- 1 (pow (* a a) 3)) (* a a))))) (* (* 4 (- a 1)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b a)) a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 502 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a)))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (+ (pow a 3) 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))))) (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (- 9 (* a a)) (* a a)) (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (- 1 (pow (* a a) 3))))) (* (* 4 (* (+ (* a (+ a 3)) 9) (+ (* a a) (- 1 a)))) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a)))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (+ (pow a 3) 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))))) (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (- 9 (* a a)) (* a a)) (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (- 1 (pow (* a a) 3))))) (* (* 4 (* (+ (* a (+ a 3)) 9) (+ (* a a) (- 1 a)))) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 503 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 3 a))) (* (* (- 9 (* a a)) (* a a)) (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (- 1 (pow (* a a) 3))))) (* (* (* 4 (* (+ 3 a) (+ (* a a) (- 1 a)))) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (+ 3 a)) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a))) (* (+ (pow a 3) 1) (- 9 (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 3 a))) (* (* (- 9 (* a a)) (* a a)) (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (- 1 (pow (* a a) 3))))) (* (* (* 4 (* (+ 3 a) (+ (* a a) (- 1 a)))) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (+ 3 a)) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a))) (* (+ (pow a 3) 1) (- 9 (* a a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 504 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (- 1 (pow (* a a) 3))) (* (- 9 (* a a)) (* a a)))) (* (* 4 (* (- a 1) (+ 9 (* a (+ a 3))))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2))) (* (* (- 27 (pow a 3)) (- (* a a) 1)) (* (+ a 3) (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (- 1 (pow (* a a) 3))) (* (- 9 (* a a)) (* a a)))) (* (* 4 (* (- a 1) (+ 9 (* a (+ a 3))))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2))) (* (* (- 27 (pow a 3)) (- (* a a) 1)) (* (+ a 3) (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 505 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 3 a))) (* (* (- 9 (* a a)) (* a a)) (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (- 1 (pow (* a a) 3))))) (* (* (* 4 (* (+ -1 a) (+ 3 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (+ (* a a) 9) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (+ (* a a) (- 1 a)))))) (* (* (- (* a a) 1) (- 9 (* a a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 3 a))) (* (* (- 9 (* a a)) (* a a)) (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (- 1 (pow (* a a) 3))))) (* (* (* 4 (* (+ -1 a) (+ 3 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (+ (* a a) 9) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (+ (* a a) (- 1 a)))))) (* (* (- (* a a) 1) (- 9 (* a a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 506 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (- 1 (pow (* a a) 3))) (* (- 9 (* a a)) (* a a)))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (+ 1 a) (- 27 (pow a 3)))) (* (* (+ a 3) (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (- 1 (pow (* a a) 3))) (* (- 9 (* a a)) (* a a)))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (+ 1 a) (- 27 (pow a 3)))) (* (* (+ a 3) (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 507 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (213 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a 3))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- 9 (* a a)) (* a a))) (- 1 (pow (* a a) 3)))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a 3))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- 9 (* a a)) (+ 1 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a 3))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- 9 (* a a)) (* a a))) (- 1 (pow (* a a) 3)))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a 3))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- 9 (* a a)) (+ 1 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 508 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (213 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (+ (* (* (+ 3 a) (* a a)) (+ 1 (* a a))) (+ 3 a))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (- 9 (* a a))) (* (- 1 (pow (* a a) 3)) (* a a)))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a a)) 2) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a a)) 2) 3)) (+ (* (* (+ 3 a) (* a a)) (+ 1 (* a a))) (+ 3 a))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (+ (pow a 3) 1) (- 3 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (+ (* (* (+ 3 a) (* a a)) (+ 1 (* a a))) (+ 3 a))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (- 9 (* a a))) (* (- 1 (pow (* a a) 3)) (* a a)))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a a)) 2) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a a)) 2) 3)) (+ (* (* (+ 3 a) (* a a)) (+ 1 (* a a))) (+ 3 a))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (+ (pow a 3) 1) (- 3 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 509 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ a 3))) (* (* (- 9 (* a a)) (* a a)) (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (- 1 (pow (* a a) 3))))) (* (* (* 4 (+ a -1)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (* (- (* a a) 1) (- 3 a))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ a 3))) (* (* (- 9 (* a a)) (* a a)) (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (- 1 (pow (* a a) 3))))) (* (* (* 4 (+ a -1)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (* (- (* a a) 1) (- 3 a))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 510 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (- 9 (* a a)) (* a a))) (- 1 (pow (* a a) 3)))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (* (+ (pow a 3) 1) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (* (+ a 3) (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (- 9 (* a a)) (* a a))) (- 1 (pow (* a a) 3)))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (* (+ (pow a 3) 1) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (* (+ a 3) (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 511 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (+ (* (* (+ 3 a) (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (* (+ (pow a 3) 1) (- 9 (* a a))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 3 a))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (- 9 (* a a))) (* (- 1 (pow (* a a) 3)) (* a a)))) (* (* (* 4 (+ 3 a)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ 3 a) (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (* (+ (pow a 3) 1) (- 9 (* a a))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 3 a))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (- 9 (* a a))) (* (- 1 (pow (* a a) 3)) (* a a)))) (* (* (* 4 (+ 3 a)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 512 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (216 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 3 a))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- 9 (* a a)) (* a a))) (- 1 (pow (* a a) 3)))) (* (* (* 4 (+ -1 a)) (+ (* a (+ 3 a)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 3 a))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- 27 (pow a 3)) (- (* a a) 1))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 3 a))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- 9 (* a a)) (* a a))) (- 1 (pow (* a a) 3)))) (* (* (* 4 (+ -1 a)) (+ (* a (+ 3 a)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 3 a))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- 27 (pow a 3)) (- (* a a) 1))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 513 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ 3 a))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (201 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)) (* (- 9 (* a a)) (- (* a a) 1))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 3 a) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) (* b a)) a) 3))) (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 3 a))) (* (- 1 (pow (* a a) 3)) (* (* (- 9 (* a a)) (* a a)) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))))) (* (* (* 4 (+ 3 a)) (- a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) (* b a)) a) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)) (* (- 9 (* a a)) (- (* a a) 1))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 3 a) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) (* b a)) a) 3))) (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 3 a))) (* (- 1 (pow (* a a) 3)) (* (* (- 9 (* a a)) (* a a)) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))))) (* (* (* 4 (+ 3 a)) (- a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) (* b a)) a) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 514 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (208 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a))))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (- 1 (pow (* a a) 3))) (* (- 9 (* a a)) (* a a)))) (* (+ (* (* a (+ 3 a)) 4) 36) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ 3 a) (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (- 27 (pow a 3)) (+ 1 a)) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a))))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (- 1 (pow (* a a) 3))) (* (- 9 (* a a)) (* a a)))) (* (+ (* (* a (+ 3 a)) 4) 36) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ 3 a) (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (- 27 (pow a 3)) (+ 1 a)) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 515 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ 3 a)) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a 3))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (+ 1 a) (- 9 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a 3))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (- 9 (* a a))) (* (- 1 (pow (* a a) 3)) (* a a)))) (* (* (+ a 3) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a 3))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (+ 1 a) (- 9 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a 3))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (- 9 (* a a))) (* (- 1 (pow (* a a) 3)) (* a a)))) (* (* (+ a 3) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 516 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 3 a)) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (+ (pow a 3) 1) (- 3 a))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a))))))) (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 3 a))) (* (* (- 9 (* a a)) (* a a)) (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (- 1 (pow (* a a) 3))))) (* (* (+ (* a a) (- 1 a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 3 a)) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (+ (pow a 3) 1) (- 3 a))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a))))))) (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 3 a))) (* (* (- 9 (* a a)) (* a a)) (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (- 1 (pow (* a a) 3))))) (* (* (+ (* a a) (- 1 a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 517 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- a 1)) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a 3))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (- 1 (pow (* a a) 3))) (* (- 9 (* a a)) (* a a)))) (* (* 4 (- a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a 3)) (* (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (+ (* a a) -1) (- 3 a))) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a 3))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (- 1 (pow (* a a) 3))) (* (- 9 (* a a)) (* a a)))) (* (* 4 (- a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a 3)) (* (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (+ (* a a) -1) (- 3 a))) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (- a 1))))) 1)) * * * * [misc]progress: [ 518 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (219 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))))) (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ a 3))) (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3))))) 4)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ a 3))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- 3 a) (+ 1 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))))) (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ a 3))) (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3))))) 4)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ a 3))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- 3 a) (+ 1 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 519 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (205 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a 3))) (* (* (- 9 (* a a)) (* a a)) (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (- 1 (pow (* a a) 3))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a 3))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- 3 a) (+ 1 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a 3))) (* (* (- 9 (* a a)) (* a a)) (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (- 1 (pow (* a a) 3))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a 3))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- 3 a) (+ 1 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 520 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (* (* b b) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (* (+ 3 a) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* 81 (+ -1 a)) (* (* (+ -1 a) (* a a)) (+ 9 (* a a))))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ 3 a))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))) (* (* b (* b 2)) (* a a)))))) (* (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 3 a) (+ -1 a))) (+ 81 (* (* a a) (+ 9 (* a a))))) (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (* (* b b) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (* (+ 3 a) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* 81 (+ -1 a)) (* (* (+ -1 a) (* a a)) (+ 9 (* a a))))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ 3 a))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))) (* (* b (* b 2)) (* a a)))))) (* (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 3 a) (+ -1 a))) (+ 81 (* (* a a) (+ 9 (* a a))))) (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 521 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (* b b) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* (- a 1) 81))))) (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (- a 1))))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (* b b) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* (- a 1) 81))))) (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (- a 1))))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 522 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (* (* b b) (- (* a a) 1)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ 9 (* a a))))))) (* (* 4 (* (- a 1) (+ (* a (+ a 3)) 9))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ a 3) (- a 1))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (- (* a a) 1) (- 27 (pow a 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (* (* b b) (- (* a a) 1)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ 9 (* a a))))))) (* (* 4 (* (- a 1) (+ (* a (+ a 3)) 9))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ a 3) (- a 1))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (- (* a a) 1) (- 27 (pow a 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 523 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (- a 1) (+ 3 a))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (- (* a a) 1) (- 9 (* a a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (* (* b b) (- (* a a) 1)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a))))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* (- a 1) 81))))) (* (* 4 (* (- a 1) (+ 3 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (- a 1) (+ 3 a))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (- (* a a) 1) (- 9 (* a a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (* (* b b) (- (* a a) 1)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a))))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* (- a 1) 81))))) (* (* 4 (* (- a 1) (+ 3 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 524 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (242 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (* b b) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (+ -1 a) 81) (* (* (+ -1 a) (* a a)) (+ 9 (* a a))))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))) (* (* b (* b 2)) (* a a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 81 (* (+ 9 (* a a)) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ a 3) (+ -1 a))))) (* (* (- 27 (pow a 3)) (+ 1 a)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (* b b) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (+ -1 a) 81) (* (* (+ -1 a) (* a a)) (+ 9 (* a a))))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))) (* (* b (* b 2)) (* a a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 81 (* (+ 9 (* a a)) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ a 3) (+ -1 a))))) (* (* (- 27 (pow a 3)) (+ 1 a)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 525 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ 1 a) (- 9 (* a a)))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (- a 1))) (+ 81 (* (* a a) (+ 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2)))) (+ (* (* (* (* b b) (- (* a a) 1)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* 81 (- a 1)))))) (* (* 4 (+ a 3)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* (* b b) 2)) (- (* (* a a) (* (* b b) 2)) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ 1 a) (- 9 (* a a)))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (- a 1))) (+ 81 (* (* a a) (+ 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2)))) (+ (* (* (* (* b b) (- (* a a) 1)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* 81 (- a 1)))))) (* (* 4 (+ a 3)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* (* b b) 2)) (- (* (* a a) (* (* b b) 2)) (+ (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 526 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (* b b) (+ (* a a) -1)) (- 729 (pow (* a a) 3))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3))) (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ 9 (* a a))))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))))))) (* (* (* (+ (pow a 3) 1) (- 3 a)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (- a 1))) (+ 81 (* (* a a) (+ 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (* b b) (+ (* a a) -1)) (- 729 (pow (* a a) 3))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3))) (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ 9 (* a a))))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))))))) (* (* (* (+ (pow a 3) 1) (- 3 a)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (- a 1))) (+ 81 (* (* a a) (+ 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 527 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (218 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (* b b) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ 9 (* a a))))))) (* (* 4 (- a 1)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (- (* (* (* b b) 2) (* a a)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (- a 1))))) (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 3 a) (+ (* a a) -1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (* b b) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ 9 (* a a))))))) (* (* 4 (- a 1)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (- (* (* (* b b) 2) (* a a)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (- a 1))))) (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 3 a) (+ (* a a) -1))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 528 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (- a 1))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (+ (* (* (* (* b b) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* 81 (- a 1))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (- a 1))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (+ (* (* (* (* b b) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* 81 (- a 1))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 529 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (230 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a))))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (+ -1 a))) (+ 81 (* (* a a) (+ 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (* b b) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a))))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* 81 (+ -1 a)) (* (* (+ -1 a) (* a a)) (+ 9 (* a a)))))) (* (* (* 4 (* (+ 3 a) (+ (- 1 a) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a))))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (+ -1 a))) (+ 81 (* (* a a) (+ 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (* b b) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a))))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* 81 (+ -1 a)) (* (* (+ -1 a) (* a a)) (+ 9 (* a a)))))) (* (* (* 4 (* (+ 3 a) (+ (- 1 a) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 530 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (+ (* a (+ a 3)) 9) (- a 1))) 4) (+ (* (* (* (* b b) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (* (+ a 3) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ 9 (* a a))))))) (* (* (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (- a 1)))) (* (- 27 (pow a 3)) (+ (* a a) -1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b (* b 2)) (* a a)) (* (* b (* b 2)) (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (+ (* a (+ a 3)) 9) (- a 1))) 4) (+ (* (* (* (* b b) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (* (+ a 3) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ 9 (* a a))))))) (* (* (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (- a 1)))) (* (- 27 (pow a 3)) (+ (* a a) -1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b (* b 2)) (* a a)) (* (* b (* b 2)) (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 531 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (218 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* (- a 1) 81)))) (* (* (* 4 (* (- a 1) (+ a 3))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (- a 1) (+ a 3))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a)))) (* (+ (* a a) -1) (- 9 (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* (- a 1) 81)))) (* (* (* 4 (* (- a 1) (+ a 3))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (- a 1) (+ a 3))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a)))) (* (+ (* a a) -1) (- 9 (* a a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 532 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (234 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (- (* a a) 1)) (- 729 (* (pow a 3) (pow a 3)))) (* (+ a 3) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* 81 (- a 1))))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b (* b 2))) (* (* a a) (* b (* b 2))))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (- a 1))))) (* (* (- 27 (pow a 3)) (+ 1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (- (* a a) 1)) (- 729 (* (pow a 3) (pow a 3)))) (* (+ a 3) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* 81 (- a 1))))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b (* b 2))) (* (* a a) (* b (* b 2))))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (- a 1))))) (* (* (- 27 (pow a 3)) (+ 1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 533 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (216 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (+ (* (* (+ a 3) (* a a)) (+ 1 (* a a))) (+ a 3))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* (- a 1) 81)))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (* (- 9 (* a a)) (+ 1 a)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a))))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (- a 1))) (+ 81 (* (* a a) (+ 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (+ (* (* (+ a 3) (* a a)) (+ 1 (* a a))) (+ a 3))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* (- a 1) 81)))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (* (- 9 (* a a)) (+ 1 a)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a))))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (- a 1))) (+ 81 (* (* a a) (+ 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 534 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (+ (* a a) -1)) (- 729 (pow (* a a) 3))) (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a))))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3))) (+ (* (+ -1 a) 81) (* (* (+ -1 a) (* a a)) (+ 9 (* a a)))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 3 a) (+ -1 a))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b (* b 2))) (* (* a a) (* b (* b 2))))) (* (- 3 a) (+ 1 (pow a 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (+ (* a a) -1)) (- 729 (pow (* a a) 3))) (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a))))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3))) (+ (* (+ -1 a) 81) (* (* (+ -1 a) (* a a)) (+ 9 (* a a)))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 3 a) (+ -1 a))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b (* b 2))) (* (* a a) (* b (* b 2))))) (* (- 3 a) (+ 1 (pow a 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 535 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* a a) 1) (- 3 a)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b (* b 2))) (* (* a a) (* b (* b 2)))))) (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (- a 1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (+ (* (* (* (* b b) (- (* a a) 1)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a))))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* 81 (- a 1))))) (* (* (* 4 (- a 1)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (* a a) 1) (- 3 a)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b (* b 2))) (* (* a a) (* b (* b 2)))))) (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (- a 1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (+ (* (* (* (* b b) (- (* a a) 1)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a))))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* 81 (- a 1))))) (* (* (* 4 (- a 1)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 536 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (225 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (+ -1 a))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3))) (* (+ (* (* (* (* b b) (- (* a a) 1)) (- 729 (pow (* a a) 3))) (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a))))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3))) (+ (* (+ -1 a) 81) (* (* (+ -1 a) (* a a)) (+ 9 (* a a)))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ 9 (* a (+ 3 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (+ -1 a))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3))) (* (+ (* (* (* (* b b) (- (* a a) 1)) (- 729 (pow (* a a) 3))) (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a))))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3))) (+ (* (+ -1 a) 81) (* (* (+ -1 a) (* a a)) (+ 9 (* a a)))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ 9 (* a (+ 3 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 537 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (- a 1)))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (* (* b b) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* 81 (- a 1))))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (- a 1)))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (* (* b b) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* 81 (- a 1))))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 538 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (- a 1)))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (* (* b b) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (+ (* (* (+ 3 a) (* a a)) (+ 1 (* a a))) (+ 3 a))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* (- a 1) 81)))) (* (* (* 4 (- a 1)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (- a 1)))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (* (* b b) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (+ (* (* (+ 3 a) (* a a)) (+ 1 (* a a))) (+ 3 a))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* (- a 1) 81)))) (* (* (* 4 (- a 1)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 539 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ 3 a))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (- a 1) (+ a 3)))) (* (* (+ (* a a) -1) (- 9 (* a a))) (+ (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4)))))) (* (+ (* (* (* (* b b) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ 9 (* a a)))))) (* (* (* 4 (+ a 3)) (- a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (- a 1) (+ a 3)))) (* (* (+ (* a a) -1) (- 9 (* a a))) (+ (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4)))))) (* (+ (* (* (* (* b b) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ 9 (* a a)))))) (* (* (* 4 (+ a 3)) (- a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 540 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (213 enodes) * [exit]simplify: Simplified to (+ (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (+ -1 a)))) (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* (- 27 (pow a 3)) (+ 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (* b b) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (+ (* (* (+ 3 a) (* a a)) (+ 1 (* a a))) (+ 3 a))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* (+ -1 a) (* a a)) (+ 9 (* a a))) (* (+ -1 a) 81)))) (* (+ 36 (* (* a (+ a 3)) 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (+ -1 a)))) (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* (- 27 (pow a 3)) (+ 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (* b b) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (+ (* (* (+ 3 a) (* a a)) (+ 1 (* a a))) (+ 3 a))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* (+ -1 a) (* a a)) (+ 9 (* a a))) (* (+ -1 a) 81)))) (* (+ 36 (* (* a (+ a 3)) 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 541 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ 3 a)) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ a 3) (- a 1))) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ 1 a) (- 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (* b b) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ 9 (* a a)))))) (* (+ 12 (* a 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ a 3) (- a 1))) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ 1 a) (- 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (* b b) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ 9 (* a a)))))) (* (+ 12 (* a 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 542 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (+ (* (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (+ a -1)))) (* (* (* (+ (pow a 3) 1) (- 3 a)) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (* b b) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (+ (* (* (+ 3 a) (* a a)) (+ 1 (* a a))) (+ 3 a))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* (+ a -1) (* a a)) (+ 9 (* a a))) (* 81 (+ a -1))))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (+ a -1)))) (* (* (* (+ (pow a 3) 1) (- 3 a)) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (* b b) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (+ (* (* (+ 3 a) (* a a)) (+ 1 (* a a))) (+ 3 a))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* (+ a -1) (* a a)) (+ 9 (* a a))) (* 81 (+ a -1))))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 543 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- a 1)) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (+ (* (* (+ 3 a) (* a a)) (+ 1 (* a a))) (+ 3 a))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ 9 (* a a)))))) (* (+ (* a 4) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ 3 a) (- a 1)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (* (+ (* a a) -1) (- 3 a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (+ (* (* (+ 3 a) (* a a)) (+ 1 (* a a))) (+ 3 a))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ 9 (* a a)))))) (* (+ (* a 4) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ 3 a) (- a 1)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (* (+ (* a a) -1) (- 3 a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (- a 1))))) 1)) * * * * [misc]progress: [ 544 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (- a 1))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (- 3 a) (+ 1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (+ (* (* (* (* b b) (- (* a a) 1)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ 9 (* a a)))))) 4) (* (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (- a 1))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (- 3 a) (+ 1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (+ (* (* (* (* b b) (- (* a a) 1)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ 9 (* a a)))))) 4) (* (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 545 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (208 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b (* b 2)) (* a a)) (* (* b (* b 2)) (* a a)))) (* (- 3 a) (+ 1 a))) (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ a 3) (- a 1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (* b b) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* (- a 1) 81)))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b (* b 2)) (* a a)) (* (* b (* b 2)) (* a a)))) (* (- 3 a) (+ 1 a))) (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ a 3) (- a 1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (* b b) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* (- a 1) 81)))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 546 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (245 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (* (+ 9 (* a a)) (- a 1))))) (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (+ (* (* (+ 3 a) (* a a)) (+ 1 (* a a))) (+ 3 a))) (* (* (- 9 (* a a)) (* a a)) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ 9 (* a a)) (- a 1)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ (* a (+ 3 a)) 9))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (* (+ 9 (* a a)) (- a 1))))) (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (+ (* (* (+ 3 a) (* a a)) (+ 1 (* a a))) (+ 3 a))) (* (* (- 9 (* a a)) (* a a)) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ 9 (* a a)) (- a 1)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ (* a (+ 3 a)) 9))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 547 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (* (* (+ 9 (* a a)) (+ -1 a)) (+ a 3)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (* (+ a 3) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (- 1 (pow (* a a) 3)) (* (* (- 9 (* a a)) (* a a)) (* (+ 9 (* a a)) (+ -1 a)))))) (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (* (* (+ 9 (* a a)) (+ -1 a)) (+ a 3)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (* (+ a 3) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (- 1 (pow (* a a) 3)) (* (* (- 9 (* a a)) (* a a)) (* (+ 9 (* a a)) (+ -1 a)))))) (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 548 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (235 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (- 1 (pow (* a a) 3)) (* (- a 1) (+ 9 (* a a)))) (* (- 9 (* a a)) (* a a))))) (* (* 4 (* (- a 1) (+ 9 (* a (+ a 3))))) (+ (* (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) b) (* a a))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (* (- a 1) (+ 9 (* a a))) (* (- 27 (pow a 3)) (+ (* a a) -1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (- 1 (pow (* a a) 3)) (* (- a 1) (+ 9 (* a a)))) (* (- 9 (* a a)) (* a a))))) (* (* 4 (* (- a 1) (+ 9 (* a (+ a 3))))) (+ (* (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) b) (* a a))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (* (- a 1) (+ 9 (* a a))) (* (- 27 (pow a 3)) (+ (* a a) -1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 549 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (217 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) b) (* a a)) 3)) (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (* (+ a 3) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ 9 (* a a)) (- a 1))) (* (- 9 (* a a)) (* a a))))) (* (* 4 (* (- a 1) (+ a 3))) (+ (* (* (* (* b 2) b) (* a a)) (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (* (* (* b 2) b) (* a a)) 3) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (+ 9 (* a a)) (- a 1)) (* (+ a 3) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) b) (* a a)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) b) (* a a)) 3)) (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a 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(- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 550 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (233 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a))))) (* (* (* (+ 9 (* a a)) (- a 1)) (- 9 (* a a))) (* (- 1 (pow (* a a) 3)) (* a a))))) (* (* 4 (+ 9 (* a (+ 3 a)))) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a))))) (* (* (* (+ 9 (* a a)) (- a 1)) (* (- 27 (pow a 3)) (+ 1 a))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a))))) (* (* (* (+ 9 (* a a)) (- a 1)) (- 9 (* a a))) (* (- 1 (pow (* a a) 3)) (* a a))))) (* (* 4 (+ 9 (* a (+ 3 a)))) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a))))) (* (* (* (+ 9 (* a a)) (- a 1)) (* (- 27 (pow a 3)) (+ 1 a))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 551 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (* (+ 3 a) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ 9 (* a a)) (- a 1))) (* (- 9 (* a a)) (* a a))))) (* (* 4 (+ 3 a)) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 3 a) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (* (+ 9 (* a a)) (- a 1)) (* (- 9 (* a a)) (+ 1 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (* (+ 3 a) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ 9 (* a a)) (- a 1))) (* (- 9 (* a a)) (* a a))))) (* (* 4 (+ 3 a)) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 3 a) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (* (+ 9 (* a a)) (- a 1)) (* (- 9 (* a a)) (+ 1 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 552 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a))))) (* (* (- 9 (* a a)) (* a a)) (* (- 1 (pow (* a a) 3)) (* (+ 9 (* a a)) (- a 1)))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a))))) (* (* (* (+ 9 (* a a)) (- a 1)) (* (- 3 a) (+ 1 (pow a 3)))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a))))) (* (* (- 9 (* a a)) (* a a)) (* (- 1 (pow (* a a) 3)) (* (+ 9 (* a a)) (- a 1)))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a))))) (* (* (* (+ 9 (* a a)) (- a 1)) (* (- 3 a) (+ 1 (pow a 3)))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 553 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a))))) (* (* (- 9 (* a a)) (* a a)) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ 9 (* a a)) (- a 1)))))) (* (* 4 (- a 1)) (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a))))) (* (* (* (+ 9 (* a a)) (- a 1)) (* (- 3 a) (+ (* a a) -1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a))))) (* (* (- 9 (* a a)) (* a a)) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ 9 (* a a)) (- a 1)))))) (* (* 4 (- a 1)) (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a))))) (* (* (* (+ 9 (* a a)) (- a 1)) (* (- 3 a) (+ (* a a) -1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 554 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (237 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a))))) (* (* (* (+ 9 (* a a)) (+ a -1)) (* (- 9 (* a a)) (* a a))) (- 1 (pow (* a a) 3)))) (* (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ 3 a)))))) (* (* (* (* (+ 9 (* a a)) (+ a -1)) (* (- 27 (pow a 3)) (+ (pow a 3) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b (* b 2)) (* a a)) (* (* b (* b 2)) (* a a))))) (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a))))) (* (* (* (+ 9 (* a a)) (+ a -1)) (* (- 9 (* a a)) (* a a))) (- 1 (pow (* a a) 3)))) (* (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ 3 a)))))) (* (* (* (* (+ 9 (* a a)) (+ a -1)) (* (- 27 (pow a 3)) (+ (pow a 3) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b (* b 2)) (* a a)) (* (* b (* b 2)) (* a a))))) (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 555 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (* (* (* (+ 9 (* a a)) (- a 1)) (+ (* (* (+ a 3) (* a a)) (+ 1 (* a a))) (+ a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (+ (* (* (+ a 3) (* a a)) (+ 1 (* a a))) (+ a 3))) (* (* (- 9 (* a a)) (* a a)) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ 9 (* a a)) (- a 1))))) (* (* (* 4 (* (+ (* a a) (- 1 a)) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (* (* (* (+ 9 (* a a)) (- a 1)) (+ (* (* (+ a 3) (* a a)) (+ 1 (* a a))) (+ a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (+ (* (* (+ a 3) (* a a)) (+ 1 (* a a))) (+ a 3))) (* (* (- 9 (* a a)) (* a a)) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ 9 (* a a)) (- a 1))))) (* (* (* 4 (* (+ (* a a) (- 1 a)) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 556 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ 9 (* a a)) (- a 1)) (* (+ a 3) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (- 27 (pow a 3)) (+ (* a a) -1)))) (* (* (* 4 (* (- a 1) (+ (* a (+ a 3)) 9))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (* (+ a 3) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (* (+ 9 (* a a)) (- a 1)) (* (- 9 (* a a)) (* a a))) (- 1 (pow (* a a) 3)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (+ 9 (* a a)) (- a 1)) (* (+ a 3) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (- 27 (pow a 3)) (+ (* a a) -1)))) (* (* (* 4 (* (- a 1) (+ (* a (+ a 3)) 9))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (* (+ a 3) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (* (+ 9 (* a a)) (- a 1)) (* (- 9 (* a a)) (* a a))) (- 1 (pow (* a a) 3)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 557 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (* (+ 3 a) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (* (+ 9 (* a a)) (+ a -1)) (- 9 (* a a))) (* (- 1 (pow (* a a) 3)) (* a a)))) (* (* (* 4 (* (+ a -1) (+ 3 a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (* (+ 9 (* a a)) (+ a -1)) (* (+ 3 a) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a))))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (* (+ 3 a) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (* (+ 9 (* a a)) (+ a -1)) (- 9 (* a a))) (* (- 1 (pow (* a a) 3)) (* a a)))) (* (* (* 4 (* (+ a -1) (+ 3 a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (* (+ 9 (* a a)) (+ a -1)) (* (+ 3 a) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a))))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 558 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (225 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (+ (* (* (+ a 3) (* a a)) (+ 1 (* a a))) (+ a 3))) (* (* (* (+ 9 (* a a)) (- a 1)) (* (- 9 (* a a)) (* a a))) (- 1 (pow (* a a) 3)))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (+ 1 a) (- 27 (pow a 3))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (* (* (+ 9 (* a a)) (- a 1)) (+ (* (* (+ a 3) (* a a)) (+ 1 (* a a))) (+ a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (+ (* (* (+ a 3) (* a a)) (+ 1 (* a a))) (+ a 3))) (* (* (* (+ 9 (* a a)) (- a 1)) (* (- 9 (* a a)) (* a a))) (- 1 (pow (* a a) 3)))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (+ 1 a) (- 27 (pow a 3))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (* (* (+ 9 (* a a)) (- a 1)) (+ (* (* (+ a 3) (* a a)) (+ 1 (* a a))) (+ a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 559 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (- 1 (pow (* a a) 3)) (* (+ 9 (* a a)) (- a 1))) (* (- 9 (* a a)) (* a a)))) (* (* (* 4 (+ 3 a)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (- 9 (* a a)) (+ 1 a))) (* (* (+ 3 a) (* (* (+ 9 (* a a)) (- a 1)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (- 1 (pow (* a a) 3)) (* (+ 9 (* a a)) (- a 1))) (* (- 9 (* a a)) (* a a)))) (* (* (* 4 (+ 3 a)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (- 9 (* a a)) (+ 1 a))) (* (* (+ 3 a) (* (* (+ 9 (* a a)) (- a 1)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 560 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (219 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (* (+ 9 (* a a)) (- a 1)) (* (- 9 (* a a)) (* a a))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (* (+ 9 (* a a)) (- a 1)) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))) (* (* (+ 1 (pow a 3)) (- 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (* (+ 9 (* a a)) (- a 1)) (* (- 9 (* a a)) (* a a))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (* (+ 9 (* a a)) (- a 1)) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))) (* (* (+ 1 (pow a 3)) (- 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 561 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (201 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (+ (* (* (+ 3 a) (* a a)) (+ 1 (* a a))) (+ 3 a))) (* (* (* (+ 9 (* a a)) (- a 1)) (- 9 (* a a))) (* (- 1 (pow (* a a) 3)) (* a a)))) (* (* (* 4 (- a 1)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (* (* (+ 9 (* a a)) (- a 1)) (+ 3 a)) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (- 3 a) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (+ (* (* (+ 3 a) (* a a)) (+ 1 (* a a))) (+ 3 a))) (* (* (* (+ 9 (* a a)) (- a 1)) (- 9 (* a a))) (* (- 1 (pow (* a a) 3)) (* a a)))) (* (* (* 4 (- a 1)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (* (* (+ 9 (* a a)) (- a 1)) (+ 3 a)) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (- 3 a) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 562 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (216 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (* (+ 9 (* a a)) (+ -1 a)) (- 9 (* a a))) (* (- 1 (* (pow a 3) (pow a 3))) (* a a)))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* a (+ 3 a)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 9 (* a a)) (+ -1 a)) (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (* (+ 9 (* a a)) (+ -1 a)) (- 9 (* a a))) (* (- 1 (* (pow a 3) (pow a 3))) (* a a)))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* a (+ 3 a)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 9 (* a a)) (+ -1 a)) (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 563 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 3 a) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (* (+ 9 (* a a)) (- a 1)) (* (- 9 (* a a)) (+ (pow a 3) 1))) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (* (+ 3 a) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (* (+ 9 (* a a)) (- a 1)) (* (- 9 (* a a)) (* a a))) (- 1 (pow (* a a) 3)))) (* (* (* 4 (+ 3 a)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 3 a) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (* (+ 9 (* a a)) (- a 1)) (* (- 9 (* a a)) (+ (pow a 3) 1))) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (* (+ 3 a) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (* (+ 9 (* a a)) (- a 1)) (* (- 9 (* a a)) (* a a))) (- 1 (pow (* a a) 3)))) (* (* (* 4 (+ 3 a)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 564 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (* (+ a 3) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (* (+ 9 (* a a)) (- a 1)) (* (- 9 (* a a)) (* a a))) (- 1 (pow (* a a) 3)))) (* (* (* 4 (- a 1)) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* a a) (* b b))) 3)))) (* (* (+ a 3) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (* (* (+ 9 (* a a)) (- a 1)) (* (+ (* a a) -1) (- 27 (pow a 3)))) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* a a) (* b b))) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (* (+ a 3) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (* (+ 9 (* a a)) (- a 1)) (* (- 9 (* a a)) (* a a))) (- 1 (pow (* a a) 3)))) (* (* (* 4 (- a 1)) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* a a) (* b b))) 3)))) (* (* (+ a 3) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (* (* (+ 9 (* a a)) (- a 1)) (* (+ (* a a) -1) (- 27 (pow a 3)))) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* a a) (* b b))) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 565 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ 3 a))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (188 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 3 a) (* (* (+ 9 (* a a)) (- a 1)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (+ (* (* (+ 3 a) (* a a)) (+ 1 (* a a))) (+ 3 a))) (* (* (* (+ 9 (* a a)) (- a 1)) (* (- 9 (* a a)) (* a a))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* 4 (- a 1)) (+ 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 3 a) (* (* (+ 9 (* a a)) (- a 1)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (+ (* (* (+ 3 a) (* a a)) (+ 1 (* a a))) (+ 3 a))) (* (* (* (+ 9 (* a a)) (- a 1)) (* (- 9 (* a a)) (* a a))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* 4 (- a 1)) (+ 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 566 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (- 1 (pow (* a a) 3)) (* (* (- 9 (* a a)) (* a a)) (* (+ 9 (* a a)) (- a 1))))) (* (* (+ 9 (* a (+ 3 a))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (* (+ 9 (* a a)) (- a 1)) (* (+ 1 a) (- 27 (pow a 3)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (- 1 (pow (* a a) 3)) (* (* (- 9 (* a a)) (* a a)) (* (+ 9 (* a a)) (- a 1))))) (* (* (+ 9 (* a (+ 3 a))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (* (+ 9 (* a a)) (- a 1)) (* (+ 1 a) (- 27 (pow a 3)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 567 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ 3 a)) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 9 (* a a)) (- a 1)) (* (+ (* (* (+ 3 a) (* a a)) (+ 1 (* a a))) (+ 3 a)) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))))) (* (* (- 9 (* a a)) (+ 1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (+ (* (* (+ 3 a) (* a a)) (+ 1 (* a a))) (+ 3 a))) (* (* (- 9 (* a a)) (* a a)) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ 9 (* a a)) (- a 1))))) (* (* 4 (+ 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 9 (* a a)) (- a 1)) (* (+ (* (* (+ 3 a) (* a a)) (+ 1 (* a a))) (+ 3 a)) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))))) (* (* (- 9 (* a a)) (+ 1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (+ (* (* (+ 3 a) (* a a)) (+ 1 (* a a))) (+ 3 a))) (* (* (- 9 (* a a)) (* a a)) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ 9 (* a a)) (- a 1))))) (* (* 4 (+ 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 568 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a))))) (* (* (- 1 (pow (* a a) 3)) (* (+ 9 (* a a)) (- a 1))) (* (- 9 (* a a)) (* a a)))) (* (* (+ (* a a) (- 1 a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ 9 (* a a)) (- a 1)) (* (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))))) (* (* (+ 1 (pow a 3)) (- 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a))))) (* (* (- 1 (pow (* a a) 3)) (* (+ 9 (* a a)) (- a 1))) (* (- 9 (* a a)) (* a a)))) (* (* (+ (* a a) (- 1 a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ 9 (* a a)) (- a 1)) (* (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))))) (* (* (+ 1 (pow a 3)) (- 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 569 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- a 1)) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ 9 (* a a)) (- a 1))) (* (- 9 (* a a)) (* a a)))) (* (+ (* 4 a) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (* a a) -1) (- 3 a)) (+ (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4)))) (* (* (* (+ 9 (* a a)) (- a 1)) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ 9 (* a a)) (- a 1))) (* (- 9 (* a a)) (* a a)))) (* (+ (* 4 a) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (* a a) -1) (- 3 a)) (+ (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4)))) (* (* (* (+ 9 (* a a)) (- a 1)) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (- a 1))))) 1)) * * * * [misc]progress: [ 570 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (213 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ 9 (* a a)) (- a 1))) (* (- 9 (* a a)) (* a a)))) 4) (* (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 3 a) (+ 1 a))) (* (* (* (+ 9 (* a a)) (- a 1)) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ 9 (* a a)) (- a 1))) (* (- 9 (* a a)) (* a a)))) 4) (* (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 3 a) (+ 1 a))) (* (* (* (+ 9 (* a a)) (- a 1)) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 571 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 9 (* a a)) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ 3 a) (- a 1)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))) (* (* (- 3 a) (+ 1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (+ (* (* (+ 3 a) (* a a)) (+ 1 (* a a))) (+ 3 a))) (* (* (* (+ 9 (* a a)) (- a 1)) (- 9 (* a a))) (* (- 1 (pow (* a a) 3)) (* a a)))) (* (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 9 (* a a)) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ 3 a) (- a 1)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))) (* (* (- 3 a) (+ 1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1))) (+ (* (* (+ 3 a) (* a a)) (+ 1 (* a a))) (+ 3 a))) (* (* (* (+ 9 (* a a)) (- a 1)) (- 9 (* a a))) (* (- 1 (pow (* a a) 3)) (* a a)))) (* (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 572 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- 729 (pow (* a a) 3)) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ a 3) (* (+ 1 a) (* b b))))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3)))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ (* a a) 1))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- 729 (pow (* a a) 3)) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ a 3) (* (+ 1 a) (* b b))))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3)))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ (* a a) 1))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 573 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (234 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ 1 a) (* b b)) (- 729 (pow (* a a) 3))) (+ (* (* (+ 3 a) (* a a)) (+ (* a a) 1)) (+ 3 a))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3)))))) (* (* 4 (* (+ 3 a) (+ (- 1 a) (* a a)))) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 3 a) (* a a)) (+ (* a a) 1)) (+ 3 a))) (* (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (- 9 (* a a)) (+ (pow a 3) 1))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ 1 a) (* b b)) (- 729 (pow (* a a) 3))) (+ (* (* (+ 3 a) (* a a)) (+ (* a a) 1)) (+ 3 a))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3)))))) (* (* 4 (* (+ 3 a) (+ (- 1 a) (* a a)))) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 3 a) (* a a)) (+ (* a a) 1)) (+ 3 a))) (* (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (- 9 (* a a)) (+ (pow a 3) 1))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 574 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 27 (pow a 3)) (- (* a a) 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (+ (* (* (+ a 3) (* a a)) (+ (* a a) 1)) (+ a 3)) (+ 81 (* (* a a) (+ 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- 729 (pow (* a a) 3)) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ a 3) (* (+ 1 a) (* b b))))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3)))))) (* (* 4 (* (- a 1) (+ 9 (* a (+ a 3))))) (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 27 (pow a 3)) (- (* a a) 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (+ (* (* (+ a 3) (* a a)) (+ (* a a) 1)) (+ a 3)) (+ 81 (* (* a a) (+ 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- 729 (pow (* a a) 3)) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ a 3) (* (+ 1 a) (* b b))))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3)))))) (* (* 4 (* (- a 1) (+ 9 (* a (+ a 3))))) (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 575 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (228 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ 1 a) (* b b)) (- 729 (pow (* a a) 3))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ (* a a) 1)))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3)))))) (* (* 4 (* (- a 1) (+ a 3))) (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ (* a a) 1))) (+ (* (* a a) (+ 9 (* a a))) 81))) (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- (* a a) 1) (- 9 (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ 1 a) (* b b)) (- 729 (pow (* a a) 3))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ (* a a) 1)))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3)))))) (* (* 4 (* (- a 1) (+ a 3))) (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ (* a a) 1))) (+ (* (* a a) (+ 9 (* a a))) 81))) (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- (* a a) 1) (- 9 (* a a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 576 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ 1 a) (* b b)) (- 729 (pow (* a a) 3))) (+ (* (* (+ a 3) (* a a)) (+ (* a a) 1)) (+ a 3))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3))) (+ 81 (* (+ 9 (* a a)) (* a a)))))) (* (* 4 (+ (* a (+ 3 a)) 9)) (+ (* (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) b) (* a a))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ a 3) (* a a)) (+ (* a a) 1)) (+ a 3))) (* (* (+ 81 (* (+ 9 (* a a)) (* a a))) (* (- 27 (pow a 3)) (+ 1 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ 1 a) (* b b)) (- 729 (pow (* a a) 3))) (+ (* (* (+ a 3) (* a a)) (+ (* a a) 1)) (+ a 3))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3))) (+ 81 (* (+ 9 (* a a)) (* a a)))))) (* (* 4 (+ (* a (+ 3 a)) 9)) (+ (* (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) b) (* a a))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ a 3) (* a a)) (+ (* a a) 1)) (+ a 3))) (* (* (+ 81 (* (+ 9 (* a a)) (* a a))) (* (- 27 (pow a 3)) (+ 1 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 577 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (218 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- 729 (pow (* a a) 3)) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ a 3) (* (+ 1 a) (* b b))))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3)))))) (* (* 4 (+ a 3)) (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a 3))) (* (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (+ 1 a) (- 9 (* a a)))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- 729 (pow (* a a) 3)) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ a 3) (* (+ 1 a) (* b b))))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3)))))) (* (* 4 (+ a 3)) (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a 3))) (* (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (+ 1 a) (- 9 (* a a)))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 578 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (232 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* (+ 3 a) (* a a)) (+ (* a a) 1)) (+ 3 a)) (+ (* (* a a) (+ (* a a) 9)) 81))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- 3 a) (+ (pow a 3) 1)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- 729 (pow (* a a) 3)) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ 3 a) (* (+ 1 a) (* b b))))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (* (* b (* b 2)) (* a a)) (- (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* (+ 3 a) (* a a)) (+ (* a a) 1)) (+ 3 a)) (+ (* (* a a) (+ (* a a) 9)) 81))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- 3 a) (+ (pow a 3) 1)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- 729 (pow (* a a) 3)) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ 3 a) (* (+ 1 a) (* b b))))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (* (* b (* b 2)) (* a a)) (- (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 579 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (220 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ 3 a) (* (+ 1 a) (* b b)))) (- 729 (pow (* a a) 3))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3)))))) (* (* 4 (- a 1)) (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* (* (+ 3 a) (* a a)) (+ (* a a) 1)) (+ 3 a)) (+ (* (* a a) (+ 9 (* a a))) 81))) (* (* (- 3 a) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ 3 a) (* (+ 1 a) (* b b)))) (- 729 (pow (* a a) 3))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3)))))) (* (* 4 (- a 1)) (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* (* (+ 3 a) (* a a)) (+ (* a a) 1)) (+ 3 a)) (+ (* (* a a) (+ 9 (* a a))) 81))) (* (* (- 3 a) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 580 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (242 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ (* (* (+ 3 a) (* a a)) (+ (* a a) 1)) (+ 3 a)) (+ (* (* a a) (+ 9 (* a a))) 81)) (* (- 27 (pow a 3)) (+ (pow a 3) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))) (* (* (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ 3 a))))) (+ (* (* (* (+ 1 a) (* b b)) (- 729 (pow (* a a) 3))) (+ (* (* (+ 3 a) (* a a)) (+ (* a a) 1)) (+ 3 a))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (+ (* (* (+ 3 a) (* a a)) (+ (* a a) 1)) (+ 3 a)) (+ (* (* a a) (+ 9 (* a a))) 81)) (* (- 27 (pow a 3)) (+ (pow a 3) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))) (* (* (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ 3 a))))) (+ (* (* (* (+ 1 a) (* b b)) (- 729 (pow (* a a) 3))) (+ (* (* (+ 3 a) (* a a)) (+ (* a a) 1)) (+ 3 a))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 581 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)) (* (+ (* (* (+ a 3) (* a a)) (+ (* a a) 1)) (+ a 3)) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (+ (pow a 3) 1) (- 9 (* a a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ a 3) (* (+ 1 a) (* b b)))) (- 729 (pow (* a a) 3))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)) (* (+ (* (* (+ a 3) (* a a)) (+ (* a a) 1)) (+ a 3)) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (+ (pow a 3) 1) (- 9 (* a a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ a 3) (* (+ 1 a) (* b b)))) (- 729 (pow (* a a) 3))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 582 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (* (+ (* (* (- (* a a) 1) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a)))))) (* (- 27 (pow a 3)) (* (+ (* (* (+ a 3) (* a a)) (+ (* a a) 1)) (+ a 3)) (+ (* (* a a) (+ 9 (* a a))) 81)))) (* (* (* (* (- a 1) (+ (* a (+ a 3)) 9)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) 4) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ a 3) (* (+ 1 a) (* b b)))) (- 729 (pow (* a a) 3))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (- (* a a) 1) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a)))))) (* (- 27 (pow a 3)) (* (+ (* (* (+ a 3) (* a a)) (+ (* a a) 1)) (+ a 3)) (+ (* (* a a) (+ 9 (* a a))) 81)))) (* (* (* (* (- a 1) (+ (* a (+ a 3)) 9)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) 4) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ a 3) (* (+ 1 a) (* b b)))) (- 729 (pow (* a a) 3))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 583 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 3 a) (* (+ 1 a) (* b b))))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (* (+ 3 a) (- a 1))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (- 9 (* a a)) (- (* a a) 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))) (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 3 a)) (+ 81 (* (* a a) (+ 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 3 a) (* (+ 1 a) (* b b))))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (* (+ 3 a) (- a 1))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (- 9 (* a a)) (- (* a a) 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))) (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 3 a)) (+ 81 (* (* a a) (+ 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 584 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (228 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ a 3) (* a a)) (+ (* a a) 1)) (+ a 3))) (* (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (- 27 (pow a 3)) (+ 1 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b (* b 2)) (* a a)) (* (* b (* b 2)) (* a a)))))) (* (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ a 3) (* (+ 1 a) (* b b)))) (- 729 (pow (* a a) 3))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ a 3) (* a a)) (+ (* a a) 1)) (+ a 3))) (* (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (- 27 (pow a 3)) (+ 1 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b (* b 2)) (* a a)) (* (* b (* b 2)) (* a a)))))) (* (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ a 3) (* (+ 1 a) (* b b)))) (- 729 (pow (* a a) 3))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 585 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ (* a a) 1))) (+ (* (* a a) (+ 9 (* a a))) 81))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))) (* (+ 1 a) (- 9 (* a a))))) (* (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ a 3) (* (+ 1 a) (* b b)))) (- 729 (pow (* a a) 3))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3))))) (* (* (* 4 (+ a 3)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ (* a a) 1))) (+ (* (* a a) (+ 9 (* a a))) 81))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))) (* (+ 1 a) (- 9 (* a a))))) (* (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ a 3) (* (+ 1 a) (* b b)))) (- 729 (pow (* a a) 3))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3))))) (* (* (* 4 (+ a 3)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 586 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ 1 a) (* b b)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ (* a a) 1)))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)))) (* (* (* (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ (* a a) 1))) (+ (* (* a a) (+ 9 (* a a))) 81)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (* (- 3 a) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ 1 a) (* b b)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ (* a a) 1)))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)))) (* (* (* (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ (* a a) 1))) (+ (* (* a a) (+ 9 (* a a))) 81)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (* (- 3 a) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 587 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (213 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ a 3) (* (+ 1 a) (* b b)))) (- 729 (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (- a 1)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ a 3))) (* (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (- 3 a) (- (* a a) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ a 3) (* (+ 1 a) (* b b)))) (- 729 (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (- a 1)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ a 3))) (* (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (- 3 a) (- (* a a) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 588 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ a 3) (* (+ 1 a) (* b b)))) (- 729 (* (pow a 3) (pow a 3)))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)))) (* (* (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ (* a a) 1))) (+ 81 (* (* a a) (+ (* a a) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ a 3) (* (+ 1 a) (* b b)))) (- 729 (* (pow a 3) (pow a 3)))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)))) (* (* (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ (* a a) 1))) (+ 81 (* (* a a) (+ (* a a) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 589 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (205 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ a 3) (* (+ 1 a) (* b b)))) (- 729 (pow (* a a) 3))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3))))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)) (* (- 9 (* a a)) (+ (pow a 3) 1)))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a 3)) (+ 81 (* (* a a) (+ 9 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ a 3) (* (+ 1 a) (* b b)))) (- 729 (pow (* a a) 3))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3))))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)) (* (- 9 (* a a)) (+ (pow a 3) 1)))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a 3)) (+ 81 (* (* a a) (+ 9 (* a a))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 590 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (217 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ (* a a) 1))) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* (- 27 (pow a 3)) (- (* a a) 1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (* (+ 1 a) (* b b)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ (* a a) 1)))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ -1 a)) (+ (* a (+ 3 a)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ (* a a) 1))) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* (- 27 (pow a 3)) (- (* a a) 1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (* (+ 1 a) (* b b)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ (* a a) 1)))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ -1 a)) (+ (* a (+ 3 a)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 591 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ 3 a))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (* (+ (* a a) -1) (- 9 (* a a)))) (* (* (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ (* a a) 1))) (+ (* (+ 9 (* a a)) (* a a)) 81)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (+ 1 a) (* b b)) (- 729 (pow (* a a) 3))) (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ (* a a) 1)))) (* (+ (* (+ 9 (* a a)) (* a a)) 81) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3))))) (* (* (* (+ 3 a) (- a 1)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (* (+ (* a a) -1) (- 9 (* a a)))) (* (* (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ (* a a) 1))) (+ (* (+ 9 (* a a)) (* a a)) 81)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (+ 1 a) (* b b)) (- 729 (pow (* a a) 3))) (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ (* a a) 1)))) (* (+ (* (+ 9 (* a a)) (* a a)) 81) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3))))) (* (* (* (+ 3 a) (- a 1)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 592 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 729 (pow (* a a) 3)) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ a 3) (* (+ 1 a) (* b b))))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3))))) (* (+ 36 (* (* a (+ a 3)) 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (* (* (+ a 3) (* a a)) (+ (* a a) 1)) (+ a 3)) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* (- 27 (pow a 3)) (+ 1 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 729 (pow (* a a) 3)) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ a 3) (* (+ 1 a) (* b b))))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3))))) (* (+ 36 (* (* a (+ a 3)) 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (* (* (+ a 3) (* a a)) (+ (* a a) 1)) (+ a 3)) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* (- 27 (pow a 3)) (+ 1 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 593 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ 3 a)) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 729 (pow (* a a) 3)) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ a 3) (* (+ 1 a) (* b b))))) (* (+ 81 (* (+ 9 (* a a)) (* a a))) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3))))) (* (+ (* 4 a) 12) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ (* a a) 1)))) (* (* (+ 81 (* (+ 9 (* a a)) (* a a))) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ 1 a) (- 9 (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 729 (pow (* a a) 3)) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ a 3) (* (+ 1 a) (* b b))))) (* (+ 81 (* (+ 9 (* a a)) (* a a))) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3))))) (* (+ (* 4 a) 12) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ (* a a) 1)))) (* (* (+ 81 (* (+ 9 (* a a)) (* a a))) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ 1 a) (- 9 (* a a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 594 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (203 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ (* a a) 1))) (+ (* (* a a) (+ 9 (* a a))) 81)) (* (+ (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (- 3 a) (+ (pow a 3) 1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) (* b a)) a) 3))) (* (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ 3 a) (* (+ 1 a) (* b b)))) (- 729 (pow (* a a) 3))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3))))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) (* b a)) a) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ (* a a) 1))) (+ (* (* a a) (+ 9 (* a a))) 81)) (* (+ (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (- 3 a) (+ (pow a 3) 1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) (* b a)) a) 3))) (* (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ 3 a) (* (+ 1 a) (* b b)))) (- 729 (pow (* a a) 3))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3))))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) (* b a)) a) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 595 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- a 1)) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ 3 a) (* (+ 1 a) (* b b)))) (- 729 (pow (* a a) 3))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3))))) (* (+ (* a 4) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a))) (* (- (* a a) 1) (- 3 a)))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 3 a)) (+ 81 (* (* a a) (+ 9 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ 3 a) (* (+ 1 a) (* b b)))) (- 729 (pow (* a a) 3))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3))))) (* (+ (* a 4) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a))) (* (- (* a a) 1) (- 3 a)))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 3 a)) (+ 81 (* (* a a) (+ 9 (* a a))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (- a 1))))) 1)) * * * * [misc]progress: [ 596 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (216 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* (* (+ 3 a) (* a a)) (+ (* a a) 1)) (+ 3 a)) (+ (* (* a a) (+ 9 (* a a))) 81))) (* (* (+ 1 a) (- 3 a)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* 4 (+ (* (* (* (+ 1 a) (* b b)) (- 729 (pow (* a a) 3))) (+ (* (* (+ 3 a) (* a a)) (+ (* a a) 1)) (+ 3 a))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3))) (+ 81 (* (* a a) (+ 9 (* a a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* (* (+ 3 a) (* a a)) (+ (* a a) 1)) (+ 3 a)) (+ (* (* a a) (+ 9 (* a a))) 81))) (* (* (+ 1 a) (- 3 a)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* 4 (+ (* (* (* (+ 1 a) (* b b)) (- 729 (pow (* a a) 3))) (+ (* (* (+ 3 a) (* a a)) (+ (* a a) 1)) (+ 3 a))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3))) (+ 81 (* (* a a) (+ 9 (* a a))))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 597 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ 1 a) (* b b)) (- 729 (pow (* a a) 3))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 3 a))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))) (* (+ 1 a) (- 3 a))) (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 3 a)) (+ 81 (* (* a a) (+ 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ 1 a) (* b b)) (- 729 (pow (* a a) 3))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 3 a))) (* (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))) (* (+ 1 a) (- 3 a))) (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 3 a)) (+ 81 (* (* a a) (+ 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 598 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 27 (pow a 3)) (+ (pow a 3) 1)) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (* (+ (* a a) 9) (+ 3 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- 81 (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (* (* b b) (+ 1 a))))) (* (+ (* a a) 9) (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3))))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ (* a (+ a 3)) 9))) (+ (* (- (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))) (* (* b (* b 2)) (* a a))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 27 (pow a 3)) (+ (pow a 3) 1)) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (* (+ (* a a) 9) (+ 3 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- 81 (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (* (* b b) (+ 1 a))))) (* (+ (* a a) 9) (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3))))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ (* a (+ a 3)) 9))) (+ (* (- (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))) (* (* b (* b 2)) (* a a))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 599 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a 3))) (* (* (+ (* a a) 9) (* (+ (pow a 3) 1) (- 9 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ a 3) (* (* b b) (+ 1 a)))) (- 81 (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* a a) (- 1 (* (pow a 3) (pow a 3))))))) (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a 3))) (* (* (+ (* a a) 9) (* (+ (pow a 3) 1) (- 9 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ a 3) (* (* b b) (+ 1 a)))) (- 81 (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* a a) (- 1 (* (pow a 3) (pow a 3))))))) (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 600 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ a 3) (* a a)) (+ 1 (* a a))) (+ a 3))) (* (* (+ (* a a) 9) (* (- 27 (pow a 3)) (- (* a a) 1))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- 81 (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (* (* b b) (+ 1 a))))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (* a a) (- 9 (* a a))) (+ (* a a) 9))))) (* (* 4 (* (+ 9 (* a (+ 3 a))) (- a 1))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ a 3) (* a a)) (+ 1 (* a a))) (+ a 3))) (* (* (+ (* a a) 9) (* (- 27 (pow a 3)) (- (* a a) 1))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- 81 (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (* (* b b) (+ 1 a))))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (* a a) (- 9 (* a a))) (+ (* a a) 9))))) (* (* 4 (* (+ 9 (* a (+ 3 a))) (- a 1))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 601 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (218 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ a 3) (* (* b b) (+ 1 a)))) (- 81 (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* a a) (- 1 (* (pow a 3) (pow a 3))))))) (* (* 4 (* (+ a 3) (+ -1 a))) (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (* (+ (* a a) 9) (+ a 3)) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (- 9 (* a a)) (- (* a a) 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ a 3) (* (* b b) (+ 1 a)))) (- 81 (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* a a) (- 1 (* (pow a 3) (pow a 3))))))) (* (* 4 (* (+ a 3) (+ -1 a))) (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (* (+ (* a a) 9) (+ a 3)) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (- 9 (* a a)) (- (* a a) 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 602 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ 3 a) (+ (* a a) 9)))) (* (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 27 (pow a 3)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ 3 a) (* (* b b) (+ 1 a)))) (- 81 (* (* a a) (* a a)))) (* (* (+ (* a a) 9) (* (* a a) (- 9 (* a a)))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ (* a (+ 3 a)) 9)) (+ (* (* (* (* b 2) (* b a)) a) (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ 3 a) (+ (* a a) 9)))) (* (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 27 (pow a 3)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ 3 a) (* (* b b) (+ 1 a)))) (- 81 (* (* a a) (* a a)))) (* (* (+ (* a a) 9) (* (* a a) (- 9 (* a a)))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ (* a (+ 3 a)) 9)) (+ (* (* (* (* b 2) (* b a)) a) (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 603 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (208 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ 3 a) (+ (* a a) 9))) (* (- 9 (* a a)) (+ 1 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- 81 (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ 3 a) (* (* b b) (+ 1 a))))) (* (- 81 (* (* a a) (* a a))) (* (* a a) (- 1 (* (pow a 3) (pow a 3))))))) (* (* 4 (+ 3 a)) (+ (* (* (* (* b 2) b) (* a a)) (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ 3 a) (+ (* a a) 9))) (* (- 9 (* a a)) (+ 1 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- 81 (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ 3 a) (* (* b b) (+ 1 a))))) (* (- 81 (* (* a a) (* a a))) (* (* a a) (- 1 (* (pow a 3) (pow a 3))))))) (* (* 4 (+ 3 a)) (+ (* (* (* (* b 2) b) (* a a)) (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 604 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (* (+ (* a a) 9) (+ 3 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 3 a) (+ 1 (pow a 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (* (* b b) (+ 1 a)))) (- 81 (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* a a) (- 1 (* (pow a 3) (pow a 3))))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (* (+ (* a a) 9) (+ 3 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 3 a) (+ 1 (pow a 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (* (* b b) (+ 1 a)))) (- 81 (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* a a) (- 1 (* (pow a 3) (pow a 3))))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 605 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (211 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 3 a) (- (* a a) 1))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ a 3) (+ (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ a 3) (* (* b b) (+ 1 a)))) (- 81 (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* a a) (- 1 (* (pow a 3) (pow a 3))))))) (* (* 4 (+ a -1)) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 3 a) (- (* a a) 1))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ a 3) (+ (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ a 3) (* (* b b) (+ 1 a)))) (- 81 (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* a a) (- 1 (* (pow a 3) (pow a 3))))))) (* (* 4 (+ a -1)) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 606 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (232 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 3 a) (+ (* a a) 9))) (* (+ (pow a 3) 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))) (* (+ (* (- 81 (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 3 a) (* (* b b) (+ 1 a))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (* (- 9 (* a a)) (* a a)))) (* (* 4 (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (* a (+ 3 a)) 9) (+ (- 1 a) (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 3 a) (+ (* a a) 9))) (* (+ (pow a 3) 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))) (* (+ (* (- 81 (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 3 a) (* (* b b) (+ 1 a))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (* (- 9 (* a a)) (* a a)))) (* (* 4 (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (* a (+ 3 a)) 9) (+ (- 1 a) (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 607 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (216 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 3 a) (* (* b b) (+ 1 a)))) (- 81 (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* a a) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (* (+ 3 a) (+ (- 1 a) (* a a)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (* (* (* (+ (* a a) 9) (+ 3 a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- 9 (* a a)) (+ (pow a 3) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 3 a) (* (* b b) (+ 1 a)))) (- 81 (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* a a) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (* (+ 3 a) (+ (- 1 a) (* a a)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (* (* (* (+ (* a a) 9) (+ 3 a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- 9 (* a a)) (+ (pow a 3) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 608 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (228 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (* (+ (* a a) 9) (+ a 3)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- (* a a) 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))) (* (+ (* (- 81 (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ a 3) (* (* b b) (+ 1 a))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (* (- 9 (* a a)) (* a a)))) (* (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ (* a (+ a 3)) 9) (- a 1))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (* (+ (* a a) 9) (+ a 3)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- (* a a) 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))) (* (+ (* (- 81 (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ a 3) (* (* b b) (+ 1 a))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (* (- 9 (* a a)) (* a a)))) (* (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ (* a (+ a 3)) 9) (- a 1))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 609 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))) (* (- 9 (* a a)) (- (* a a) 1))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ 3 a) (+ (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ 3 a) (* (* b b) (+ 1 a)))) (- 81 (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* a a) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (* (+ 3 a) (+ -1 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))) (* (- 9 (* a a)) (- (* a a) 1))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ 3 a) (+ (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ 3 a) (* (* b b) (+ 1 a)))) (- 81 (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* a a) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (* (+ 3 a) (+ -1 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 610 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (218 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ a 3) (* (* b b) (+ 1 a)))) (- 81 (* (* a a) (* a a)))) (* (* (+ (* a a) 9) (- 9 (* a a))) (* (* a a) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (- (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (* (- (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ 1 a) (- 27 (pow a 3)))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ a 3) (+ (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ a 3) (* (* b b) (+ 1 a)))) (- 81 (* (* a a) (* a a)))) (* (* (+ (* a a) 9) (- 9 (* a a))) (* (* a a) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (- (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (* (- (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ 1 a) (- 27 (pow a 3)))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ a 3) (+ (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 611 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ 3 a) (* (* b b) (+ 1 a)))) (- 81 (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* a a) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ 3 a)) (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (* (+ (* a a) 9) (+ 3 a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 9 (* a a)) (+ 1 a))) (* (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ 3 a) (* (* b b) (+ 1 a)))) (- 81 (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* a a) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ 3 a)) (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (* (+ (* a a) 9) (+ 3 a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 9 (* a a)) (+ 1 a))) (* (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 612 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 81 (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (* (* b b) (+ 1 a))))) (* (- 81 (* (* a a) (* a a))) (* (* a a) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (+ (* a a) 9) (+ 3 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a)))) (* (* (- 3 a) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 81 (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (* (* b b) (+ 1 a))))) (* (- 81 (* (* a a) (* a a))) (* (* a a) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (+ (* a a) 9) (+ 3 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a)))) (* (* (- 3 a) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 613 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (+ (* a a) 9))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a))))) (* (* (- 3 a) (- (* a a) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (* (* b b) (+ 1 a)))) (- 81 (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* a a) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (- a 1)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (+ (* a a) 9))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a))))) (* (* (- 3 a) (- (* a a) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (* (* b b) (+ 1 a)))) (- 81 (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* a a) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (- a 1)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 614 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (211 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ (* a a) 9) (+ 3 a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a))))) (* (- 27 (pow a 3)) (+ (pow a 3) 1))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 3 a) (* (* b b) (+ 1 a)))) (- 81 (* (* a a) (* a a)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (* (- 9 (* a a)) (* a a)))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* a (+ 3 a)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ (* a a) 9) (+ 3 a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a))))) (* (- 27 (pow a 3)) (+ (pow a 3) 1))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 3 a) (* (* b b) (+ 1 a)))) (- 81 (* (* a a) (* a a)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) 9)) (* (- 9 (* a a)) (* a a)))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* a (+ 3 a)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 615 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a))) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 3 a) (+ (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 3 a) (* (* b b) (+ 1 a)))) (- 81 (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* a a) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ 3 a)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a))) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 3 a) (+ (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 3 a) (* (* b b) (+ 1 a)))) (- 81 (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* a a) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ 3 a)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 616 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (208 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ a 3) (* (* b b) (+ 1 a)))) (- 81 (* (* a a) (* a a)))) (* (* (- 9 (* a a)) (* a a)) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) 9)))) (* (* (* 4 (- a 1)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)) (* (* (+ (* a a) 9) (+ a 3)) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (- (* a a) 1) (- 27 (pow a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ a 3) (* (* b b) (+ 1 a)))) (- 81 (* (* a a) (* a a)))) (* (* (- 9 (* a a)) (* a a)) (* (- 1 (* (pow a 3) (pow a 3))) (+ (* a a) 9)))) (* (* (* 4 (- a 1)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)) (* (* (+ (* a a) 9) (+ a 3)) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (- (* a a) 1) (- 27 (pow a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 617 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ 3 a))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 81 (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ 3 a) (* (* b b) (+ 1 a))))) (* (- 81 (* (* a a) (* a a))) (* (* a a) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ -1 a)) (+ 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)))) (* (* (* (- 9 (* a a)) (- (* a a) 1)) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (* (* (+ (* a a) 9) (+ 3 a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 81 (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ 3 a) (* (* b b) (+ 1 a))))) (* (- 81 (* (* a a) (* a a))) (* (* a a) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ -1 a)) (+ 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)))) (* (* (* (- 9 (* a a)) (- (* a a) 1)) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (* (* (+ (* a a) 9) (+ 3 a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 618 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (* (* b b) (+ 1 a)))) (- 81 (* (* a a) (* a a)))) (* (+ (* a a) 9) (* (* (* a a) (- 9 (* a a))) (- 1 (* (pow a 3) (pow a 3)))))) (* (+ 36 (* (* a (+ a 3)) 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (+ (* a a) 9)))) (* (+ 1 a) (- 27 (pow a 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (* (* b b) (+ 1 a)))) (- 81 (* (* a a) (* a a)))) (* (+ (* a a) 9) (* (* (* a a) (- 9 (* a a))) (- 1 (* (pow a 3) (pow a 3)))))) (* (+ 36 (* (* a (+ a 3)) 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (+ (* a a) 9)))) (* (+ 1 a) (- 27 (pow a 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 619 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ 3 a)) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- 9 (* a a)) (+ 1 a)) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (+ (* a a) 9)))) (* (+ (* (- 81 (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (* (* b b) (+ 1 a))))) (* (- 81 (* (* a a) (* a a))) (* (* a a) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (+ 3 a) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- 9 (* a a)) (+ 1 a)) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (+ (* a a) 9)))) (* (+ (* (- 81 (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (* (* b b) (+ 1 a))))) (* (- 81 (* (* a a) (* a a))) (* (* a a) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (+ 3 a) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 620 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ a 3) (* (* b b) (+ 1 a)))) (- 81 (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* a a) (- 1 (pow (* a a) 3))))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a 3))) (* (* (+ (* a a) 9) (* (+ 1 (pow a 3)) (- 3 a))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ a 3) (* (* b b) (+ 1 a)))) (- 81 (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* a a) (- 1 (pow (* a a) 3))))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a 3))) (* (* (+ (* a a) 9) (* (+ 1 (pow a 3)) (- 3 a))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 621 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- a 1)) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (182 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (* (+ (* a a) 9) (+ 3 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (- (* a a) 1) (- 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (* (* b b) (+ 1 a)))) (- 81 (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* a a) (- 1 (* (pow a 3) (pow a 3)))))) (* (+ (* a 4) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (* (+ (* a a) 9) (+ 3 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (- (* a a) 1) (- 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (* (* b b) (+ 1 a)))) (- 81 (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* a a) (- 1 (* (pow a 3) (pow a 3)))))) (* (+ (* a 4) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (- a 1))))) 1)) * * * * [misc]progress: [ 622 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ a 3))) (* (* (+ (* a a) 9) (* (- 3 a) (+ 1 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (+ (* (- 81 (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (* (* b b) (+ 1 a))))) (* (- 81 (* (* a a) (* a a))) (* (* a a) (- 1 (* (pow a 3) (pow a 3)))))) 4) (* (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ a 3))) (* (* (+ (* a a) 9) (* (- 3 a) (+ 1 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (+ (* (- 81 (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (* (* b b) (+ 1 a))))) (* (- 81 (* (* a a) (* a a))) (* (* a a) (- 1 (* (pow a 3) (pow a 3)))))) 4) (* (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 623 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 81 (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ 3 a) (* (* b b) (+ 1 a))))) (* (- 81 (* (* a a) (* a a))) (* (* a a) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (* (* (+ (* a a) 9) (+ 3 a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 3 a) (+ 1 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 81 (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ 3 a) (* (* b b) (+ 1 a))))) (* (- 81 (* (* a a) (* a a))) (* (* a a) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (* (* (+ (* a a) 9) (+ 3 a)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 3 a) (+ 1 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 624 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (* (+ (- 1 a) (* a a)) (+ a 3)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (pow a 3) 1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (+ (* (* (+ (pow a 3) 1) (* (* b b) (- 9 (* a a)))) (* (+ a 3) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (- 1 a) (* a a))) (* (- 9 (* a a)) (* a a))))) (* (* 4 (* (+ 9 (* a (+ a 3))) (+ (- 1 a) (* a a)))) (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (* (+ (- 1 a) (* a a)) (+ a 3)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (pow a 3) 1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (+ (* (* (+ (pow a 3) 1) (* (* b b) (- 9 (* a a)))) (* (+ a 3) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (- 1 a) (* a a))) (* (- 9 (* a a)) (* a a))))) (* (* 4 (* (+ 9 (* a (+ a 3))) (+ (- 1 a) (* a a)))) (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 625 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (+ (* (* (+ (pow a 3) 1) (* (* b b) (- 9 (* a a)))) (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (- 1 a) (* a a)) (- 9 (* a a))) (* (- 1 (* (pow a 3) (pow a 3))) (* a a))))) (* (* 4 (* (+ 3 a) (+ (- 1 a) (* a a)))) (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (* (+ 3 a) (+ (- 1 a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 9 (* a a)) (+ (pow a 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (+ (* (* (+ (pow a 3) 1) (* (* b b) (- 9 (* a a)))) (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (- 1 a) (* a a)) (- 9 (* a a))) (* (- 1 (* (pow a 3) (pow a 3))) (* a a))))) (* (* 4 (* (+ 3 a) (+ (- 1 a) (* a a)))) (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (* (+ 3 a) (+ (- 1 a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 9 (* a a)) (+ (pow a 3) 1))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 626 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (- 1 a) (* a a)) (+ 3 a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- 27 (pow a 3)) (+ (* a a) -1))) (+ (* 8 (pow (* (* b b) (* a a)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* (+ (pow a 3) 1) (* (* b b) (- 9 (* a a)))) (* (+ 3 a) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (- 1 a) (* a a)) (- 9 (* a a))) (* (- 1 (* (pow a 3) (pow a 3))) (* a a))))) (* (* 4 (* (- a 1) (+ 9 (* a (+ 3 a))))) (+ (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (* (+ (- 1 a) (* a a)) (+ 3 a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- 27 (pow a 3)) (+ (* a a) -1))) (+ (* 8 (pow (* (* b b) (* a a)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* (+ (pow a 3) 1) (* (* b b) (- 9 (* a a)))) (* (+ 3 a) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (- 1 a) (* a a)) (- 9 (* a a))) (* (- 1 (* (pow a 3) (pow a 3))) (* a a))))) (* (* 4 (* (- a 1) (+ 9 (* a (+ 3 a))))) (+ (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 627 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* (* (- 9 (* a a)) (* b b)) (+ (pow a 3) 1)) (* (+ a 3) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (- 1 a) (* a a)) (* (- 9 (* a a)) (* a a))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (* (+ a 3) (+ -1 a))) (+ (* (* (* (* b b) (* a a)) 2) (- (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (* (- (* a a) 1) (- 9 (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (+ (- 1 a) (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* (* (- 9 (* a a)) (* b b)) (+ (pow a 3) 1)) (* (+ a 3) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (- 1 a) (* a a)) (* (- 9 (* a a)) (* a a))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (* (+ a 3) (+ -1 a))) (+ (* (* (* (* b b) (* a a)) 2) (- (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (* (- (* a a) 1) (- 9 (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (+ (- 1 a) (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 628 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (+ (- 1 a) (* a a)))) (+ (* 8 (pow (* (* b b) (* a a)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (+ 1 a) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (* b b)) (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (- 1 a) (* a a)) (* (- 9 (* a a)) (* a a))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ 9 (* a (+ 3 a)))) (+ (* (* (* b (* b 2)) (* a a)) (- (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (+ (- 1 a) (* a a)))) (+ (* 8 (pow (* (* b b) (* a a)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (+ 1 a) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (* b b)) (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (- 1 a) (* a a)) (* (- 9 (* a a)) (* a a))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ 9 (* a (+ 3 a)))) (+ (* (* (* b (* b 2)) (* a a)) (- (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 629 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (213 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (+ (* (* (+ (pow a 3) 1) (* (* b b) (- 9 (* a a)))) (* (+ 3 a) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (- 1 a) (* a a)) (* (- 9 (* a a)) (* a a))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ 3 a)) (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (* (+ (- 1 a) (* a a)) (+ 3 a)) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (- 9 (* a a)) (+ 1 a)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (+ (* (* (+ (pow a 3) 1) (* (* b b) (- 9 (* a a)))) (* (+ 3 a) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (- 1 a) (* a a)) (* (- 9 (* a a)) (* a a))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ 3 a)) (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (* (+ (- 1 a) (* a a)) (+ 3 a)) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (- 9 (* a a)) (+ 1 a)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 630 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (213 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (+ (* (* (* (+ (pow a 3) 1) b) (* b (- 9 (* a a)))) (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (- 9 (* a a)) (* a a)) (* (- 1 (* (pow a 3) (pow a 3))) (+ (- 1 a) (* a a)))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (* (* (* b b) (* a a)) 2) (- (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (* (+ (- 1 a) (* a a)) (+ 3 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (- 3 a) (+ (pow a 3) 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (+ (* (* (* (+ (pow a 3) 1) b) (* b (- 9 (* a a)))) (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (- 9 (* a a)) (* a a)) (* (- 1 (* (pow a 3) (pow a 3))) (+ (- 1 a) (* a a)))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (* (* (* b b) (* a a)) 2) (- (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (* (+ (- 1 a) (* a a)) (+ 3 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (- 3 a) (+ (pow a 3) 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 631 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* (* b b) (* (+ (pow a 3) 1) (- 9 (* a a)))) (* (+ a 3) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (- 1 a) (* a a)) (* (- 9 (* a a)) (* a a))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (- a 1)) (+ (* (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (* 2 (* (* b b) (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (* 8 (pow (* (* b b) (* a a)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (+ (* a a) -1) (- 3 a)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (+ (- 1 a) (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* (* b b) (* (+ (pow a 3) 1) (- 9 (* a a)))) (* (+ a 3) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (- 1 a) (* a a)) (* (- 9 (* a a)) (* a a))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (- a 1)) (+ (* (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (* 2 (* (* b b) (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (* 8 (pow (* (* b b) (* a a)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (+ (* a a) -1) (- 3 a)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (+ (- 1 a) (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 632 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (223 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (* (+ (- 1 a) (* a a)) (+ 3 a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (+ (pow a 3) 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a)))))) (* (+ (* (* (* b b) (* (+ (pow a 3) 1) (- 9 (* a a)))) (* (+ 3 a) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 9 (* a a)) (* a a)) (+ (- 1 a) (* a a))))) (* 4 (* (* (+ (- 1 a) (* a a)) (+ (* a (+ 3 a)) 9)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (* (+ (- 1 a) (* a a)) (+ 3 a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (+ (pow a 3) 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a)))))) (* (+ (* (* (* b b) (* (+ (pow a 3) 1) (- 9 (* a a)))) (* (+ 3 a) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 9 (* a a)) (* a a)) (+ (- 1 a) (* a a))))) (* 4 (* (* (+ (- 1 a) (* a a)) (+ (* a (+ 3 a)) 9)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 633 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 3 a) (+ (- 1 a) (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))) (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))))) (* (+ (* (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (* b b)) (* (+ 3 a) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (- 1 a) (* a a)) (- 9 (* a a))) (* (- 1 (* (pow a 3) (pow a 3))) (* a a)))) (* (* (* 4 (* (+ 3 a) (+ (- 1 a) (* a a)))) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 3 a) (+ (- 1 a) (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))) (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))))) (* (+ (* (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (* b b)) (* (+ 3 a) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (- 1 a) (* a a)) (- 9 (* a a))) (* (- 1 (* (pow a 3) (pow a 3))) (* a a)))) (* (* (* 4 (* (+ 3 a) (+ (- 1 a) (* a a)))) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 634 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (* b b) (* (+ (pow a 3) 1) (- 9 (* a a)))) (* (+ a 3) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (- 1 a) (* a a)) (* (- 9 (* a a)) (* a a))) (- 1 (* (pow a 3) (pow a 3))))) (* (* 4 (* (- a 1) (+ 9 (* a (+ a 3))))) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (* (* (+ (- 1 a) (* a a)) (+ a 3)) (+ (* (* a a) (* a a)) (+ (* a a) 1)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (* (* b b) (* (+ (pow a 3) 1) (- 9 (* a a)))) (* (+ a 3) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (- 1 a) (* a a)) (* (- 9 (* a a)) (* a a))) (- 1 (* (pow a 3) (pow a 3))))) (* (* 4 (* (- a 1) (+ 9 (* a (+ a 3))))) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (* (* (+ (- 1 a) (* a a)) (+ a 3)) (+ (* (* a a) (* a a)) (+ (* a a) 1)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 635 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (213 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ (pow a 3) 1) b) (* b (- 9 (* a a)))) (* (+ a 3) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (- 1 a) (* a a))) (* (- 9 (* a a)) (* a a)))) (* (* (* 4 (* (- a 1) (+ a 3))) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (* (* (+ (- 1 a) (* a a)) (+ a 3)) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ (pow a 3) 1) b) (* b (- 9 (* a a)))) (* (+ a 3) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (- 1 a) (* a a))) (* (- 9 (* a a)) (* a a)))) (* (* (* 4 (* (- a 1) (+ a 3))) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (* (* (+ (- 1 a) (* a a)) (+ a 3)) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 636 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b (* b 2)) (* a a)) (* (* b (* b 2)) (* a a)))) (* (* (+ 1 a) (- 27 (pow a 3))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (+ (- 1 a) (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))) (* (+ (* (* (* b b) (* (+ (pow a 3) 1) (- 9 (* a a)))) (* (+ a 3) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (- 1 a) (* a a)) (- 9 (* a a))) (* (- 1 (* (pow a 3) (pow a 3))) (* a a)))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b (* b 2)) (* a a)) (* (* b (* b 2)) (* a a)))) (* (* (+ 1 a) (- 27 (pow a 3))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (+ (- 1 a) (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))) (* (+ (* (* (* b b) (* (+ (pow a 3) 1) (- 9 (* a a)))) (* (+ a 3) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (- 1 a) (* a a)) (- 9 (* a a))) (* (- 1 (* (pow a 3) (pow a 3))) (* a a)))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 637 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (205 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (- 9 (* a a)) (* b b)) (+ (pow a 3) 1)) (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 9 (* a a)) (* a a)) (+ (- 1 a) (* a a))))) (* (* (* 4 (+ 3 a)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a)))) (* (- 9 (* a a)) (+ 1 a))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (+ (- 1 a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (- 9 (* a a)) (* b b)) (+ (pow a 3) 1)) (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 9 (* a a)) (* a a)) (+ (- 1 a) (* a a))))) (* (* (* 4 (+ 3 a)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a)))) (* (- 9 (* a a)) (+ 1 a))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (+ (- 1 a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 638 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (205 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (+ (- 1 a) (* a a))))) (* (* (- 3 a) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (+ (* (* (+ (pow a 3) 1) (* (* b b) (- 9 (* a a)))) (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 9 (* a a)) (* a a)) (+ (- 1 a) (* a a))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (+ (- 1 a) (* a a))))) (* (* (- 3 a) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (+ (* (* (+ (pow a 3) 1) (* (* b b) (- 9 (* a a)))) (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 9 (* a a)) (* a a)) (+ (- 1 a) (* a a))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 639 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (205 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (* (- 3 a) (- (* a a) 1)) (* (* (+ (- 1 a) (* a a)) (+ 3 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))) (* (+ (* (* (* b b) (* (+ (pow a 3) 1) (- 9 (* a a)))) (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (- 1 a) (* a a)) (* (- 9 (* a a)) (* a a))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* 4 (- a 1)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (* (- 3 a) (- (* a a) 1)) (* (* (+ (- 1 a) (* a a)) (+ 3 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))) (* (+ (* (* (* b b) (* (+ (pow a 3) 1) (- 9 (* a a)))) (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (- 1 a) (* a a)) (* (- 9 (* a a)) (* a a))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* 4 (- a 1)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 640 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (pow a 3) 1) (* (* b b) (- 9 (* a a)))) (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 9 (* a a)) (* a a)) (+ (- 1 a) (* a a))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (* (* (+ (- 1 a) (* a a)) (+ 3 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (* (- 27 (pow a 3)) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (pow a 3) 1) (* (* b b) (- 9 (* a a)))) (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 9 (* a a)) (* a a)) (+ (- 1 a) (* a a))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (* (* (+ (- 1 a) (* a a)) (+ 3 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (* (- 27 (pow a 3)) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 641 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (+ (- 1 a) (* a a))))) (* (+ (* (* (+ (pow a 3) 1) (* (* b b) (- 9 (* a a)))) (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (- 1 a) (* a a))) (* (- 9 (* a a)) (* a a)))) (* (* (* 4 (+ 3 a)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 3 a) (+ (- 1 a) (* a a))))) (* (+ (* (* (+ (pow a 3) 1) (* (* b b) (- 9 (* a a)))) (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (- 1 a) (* a a))) (* (- 9 (* a a)) (* a a)))) (* (* (* 4 (+ 3 a)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 642 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (208 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (* b b)) (* (+ a 3) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (- 1 a) (* a a))) (* (- 9 (* a a)) (* a a)))) (* (* (* 4 (- a 1)) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)))) (* (* (* (+ (- 1 a) (* a a)) (+ a 3)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (- 27 (pow a 3)) (+ (* a a) -1))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (* b b)) (* (+ a 3) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (+ (- 1 a) (* a a))) (* (- 9 (* a a)) (* a a)))) (* (* (* 4 (- a 1)) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)))) (* (* (* (+ (- 1 a) (* a a)) (+ a 3)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (- 27 (pow a 3)) (+ (* a a) -1))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 643 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- a 1) (+ 3 a))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (* (+ (- 1 a) (* a a)) (+ a 3)) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (- 9 (* a a)) (+ (* a a) -1))) (* (+ (* (* (* (- 9 (* a a)) (* b b)) (+ (pow a 3) 1)) (* (+ a 3) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (- 9 (* a a)) (* a a)) (* (- 1 (* (pow a 3) (pow a 3))) (+ (- 1 a) (* a a))))) (* (* (* 4 (- a 1)) (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (* (+ (- 1 a) (* a a)) (+ a 3)) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (- 9 (* a a)) (+ (* a a) -1))) (* (+ (* (* (* (- 9 (* a a)) (* b b)) (+ (pow a 3) 1)) (* (+ a 3) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (- 9 (* a a)) (* a a)) (* (- 1 (* (pow a 3) (pow a 3))) (+ (- 1 a) (* a a))))) (* (* (* 4 (- a 1)) (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 644 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (* b b)) (* (+ a 3) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (- 9 (* a a)) (* a a)) (* (- 1 (* (pow a 3) (pow a 3))) (+ (- 1 a) (* a a))))) (* (+ 36 (* 4 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (+ a 3) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (* (+ (- 1 a) (* a a)) (* (+ 1 a) (- 27 (pow a 3)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (* b b)) (* (+ a 3) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (- 9 (* a a)) (* a a)) (* (- 1 (* (pow a 3) (pow a 3))) (+ (- 1 a) (* a a))))) (* (+ 36 (* 4 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (+ a 3) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (* (+ (- 1 a) (* a a)) (* (+ 1 a) (- 27 (pow a 3)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 645 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (+ 3 a)) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (184 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)) (* (* (* (+ (- 1 a) (* a a)) (+ a 3)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))))) (* (- 9 (* a a)) (+ 1 a))) (* (+ (* (* (* (- 9 (* a a)) (* b b)) (+ (pow a 3) 1)) (* (+ a 3) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 9 (* a a)) (* a a)) (+ (- 1 a) (* a a))))) (* (+ 12 (* 4 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)) (* (* (* (+ (- 1 a) (* a a)) (+ a 3)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))))) (* (- 9 (* a a)) (+ 1 a))) (* (+ (* (* (* (- 9 (* a a)) (* b b)) (+ (pow a 3) 1)) (* (+ a 3) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 9 (* a a)) (* a a)) (+ (- 1 a) (* a a))))) (* (+ 12 (* 4 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 646 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (184 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ (pow a 3) 1) b) (* b (- 9 (* a a)))) (* (+ a 3) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (- 1 a) (* a a)) (- 9 (* a a))) (* (- 1 (* (pow a 3) (pow a 3))) (* a a)))) (* (* (+ (- 1 a) (* a a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a a)) 2) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a a)) 2) 3)) (* (* (+ (pow a 3) 1) (- 3 a)) (+ (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4))))) (* (* (+ (- 1 a) (* a a)) (+ a 3)) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ (pow a 3) 1) b) (* b (- 9 (* a a)))) (* (+ a 3) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (- 1 a) (* a a)) (- 9 (* a a))) (* (- 1 (* (pow a 3) (pow a 3))) (* a a)))) (* (* (+ (- 1 a) (* a a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a a)) 2) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a a)) 2) 3)) (* (* (+ (pow a 3) 1) (- 3 a)) (+ (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4))))) (* (* (+ (- 1 a) (* a a)) (+ a 3)) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 647 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (- a 1)) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (184 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (- 9 (* a a)) (* b b)) (+ (pow a 3) 1)) (* (+ a 3) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (- 1 a) (* a a)) (- 9 (* a a))) (* (- 1 (* (pow a 3) (pow a 3))) (* a a)))) (* (* 4 (- a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (+ (- 1 a) (* a a)))))) (* (- 3 a) (- (* a a) 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (- 9 (* a a)) (* b b)) (+ (pow a 3) 1)) (* (+ a 3) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (- 1 a) (* a a)) (- 9 (* a a))) (* (- 1 (* (pow a 3) (pow a 3))) (* a a)))) (* (* 4 (- a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (+ (- 1 a) (* a a)))))) (* (- 3 a) (- (* a a) 1)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (- a 1))))) 1)) * * * * [misc]progress: [ 648 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (211 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (- 1 a) (* a a)) (+ 3 a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* 8 (pow (* (* b b) (* a a)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (- 3 a) (+ 1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (* b b)) (* (+ 3 a) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (- 9 (* a a)) (* a a)) (* (- 1 (* (pow a 3) (pow a 3))) (+ (- 1 a) (* a a))))) 4))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (- 1 a) (* a a)) (+ 3 a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* 8 (pow (* (* b b) (* a a)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (- 3 a) (+ 1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (* b b)) (* (+ 3 a) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (- 9 (* a a)) (* a a)) (* (- 1 (* (pow a 3) (pow a 3))) (+ (- 1 a) (* a a))))) 4))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 649 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (* (+ (- 1 a) (* a a)) (+ 3 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (* (- 3 a) (+ 1 a)))) (* (+ (* (* (* b b) (* (+ (pow a 3) 1) (- 9 (* a a)))) (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (- 1 a) (* a a)) (* (- 9 (* a a)) (* a a))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (* (+ (- 1 a) (* a a)) (+ 3 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (* (- 3 a) (+ 1 a)))) (* (+ (* (* (* b b) (* (+ (pow a 3) 1) (- 9 (* a a)))) (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (- 1 a) (* a a)) (* (- 9 (* a a)) (* a a))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 650 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (- (* a a) 1) b) (* b (- 9 (* a a))))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 9 (* a a))) (- a 1))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ 3 a))))) (+ (* (* (* (* b 2) b) (* a a)) (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- a 1) (+ 3 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (- 27 (pow a 3)) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (- (* a a) 1) b) (* b (- 9 (* a a))))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 9 (* a a))) (- a 1))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ 3 a))))) (+ (* (* (* (* b 2) b) (* a a)) (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- a 1) (+ 3 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (- 27 (pow a 3)) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 651 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 3 a) (+ -1 a)))) (* (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ 1 (pow a 3)) (- 9 (* a a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* (+ 3 a) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (- (* a a) 1) b) (* b (- 9 (* a a))))) (* (+ -1 a) (* (* (* a a) (- 9 (* a a))) (- 1 (* (pow a 3) (pow a 3))))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 3 a))) (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 3 a) (+ -1 a)))) (* (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ 1 (pow a 3)) (- 9 (* a a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* (+ 3 a) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (- (* a a) 1) b) (* b (- 9 (* a a))))) (* (+ -1 a) (* (* (* a a) (- 9 (* a a))) (- 1 (* (pow a 3) (pow a 3))))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 3 a))) (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 652 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (216 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 27 (pow a 3)) (+ (* a a) -1))) (* (* (* (+ -1 a) (+ a 3)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a)))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (* b b))) (* (+ -1 a) (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3))))))) (* (* 4 (* (+ (* a (+ a 3)) 9) (+ -1 a))) (+ (* (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* 2 (* (* a a) (* b b)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 27 (pow a 3)) (+ (* a a) -1))) (* (* (* (+ -1 a) (+ a 3)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a)))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (* b b))) (* (+ -1 a) (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3))))))) (* (* 4 (* (+ (* a (+ a 3)) 9) (+ -1 a))) (+ (* (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* 2 (* (* a a) (* b b)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 653 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ a 3) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (- a 1) (* (- 9 (* a a)) (- (* a a) 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ a 3) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (* (- 9 (* a a)) (- (* a a) 1)) (* b b))) (* (- a 1) (* (* (* a a) (- 9 (* a a))) (- 1 (pow (* a a) 3)))))) (* (* 4 (* (+ a 3) (- a 1))) (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ a 3) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (- a 1) (* (- 9 (* a a)) (- (* a a) 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ a 3) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (* (- 9 (* a a)) (- (* a a) 1)) (* b b))) (* (- a 1) (* (* (* a a) (- 9 (* a a))) (- 1 (pow (* a a) 3)))))) (* (* 4 (* (+ a 3) (- a 1))) (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 654 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- a 1) (+ a 3)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))) (* (* (+ 1 a) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a)))) (* (* (- (* a a) 1) b) (* b (- 9 (* a a))))) (* (- a 1) (* (* (* a a) (- 9 (* a a))) (- 1 (* (pow a 3) (pow a 3))))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (- (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))) (* (* b (* b 2)) (* a a))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- a 1) (+ a 3)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))) (* (* (+ 1 a) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a)))) (* (* (- (* a a) 1) b) (* b (- 9 (* a a))))) (* (- a 1) (* (* (* a a) (- 9 (* a a))) (- 1 (* (pow a 3) (pow a 3))))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (- (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))) (* (* b (* b 2)) (* a a))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 655 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (+ 3 a) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (- a 1) (* (- 9 (* a a)) (+ 1 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (+ 3 a) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (* b b) (* (- (* a a) 1) (- 9 (* a a))))) (* (- a 1) (* (* (* a a) (- 9 (* a a))) (- 1 (pow (* a a) 3)))))) (* (* 4 (+ 3 a)) (+ (* (- (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))) (* (* b (* b 2)) (* a a))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (+ 3 a) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (- a 1) (* (- 9 (* a a)) (+ 1 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (+ 3 a) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (* b b) (* (- (* a a) 1) (- 9 (* a a))))) (* (- a 1) (* (* (* a a) (- 9 (* a a))) (- 1 (pow (* a a) 3)))))) (* (* 4 (+ 3 a)) (+ (* (- (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))) (* (* b (* b 2)) (* a a))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 656 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (208 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a))))) (* (* (- a 1) (* (+ 1 (pow a 3)) (- 3 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a)))) (* (+ (* a a) -1) (* (* b b) (- 9 (* a a))))) (* (- a 1) (* (* (* a a) (- 9 (* a a))) (- 1 (* (pow a 3) (pow a 3))))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a))))) (* (* (- a 1) (* (+ 1 (pow a 3)) (- 3 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a)))) (* (+ (* a a) -1) (* (* b b) (- 9 (* a a))))) (* (- a 1) (* (* (* a a) (- 9 (* a a))) (- 1 (* (pow a 3) (pow a 3))))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 657 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a)))) (* (+ (* a a) -1) (* (* b b) (- 9 (* a a))))) (* (- a 1) (* (* (* a a) (- 9 (* a a))) (- 1 (pow (* a a) 3)))))) (* (* 4 (- a 1)) (+ (* (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) b) (* a a))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (* (- a 1) (+ 3 a)) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (+ (* a a) -1) (- 3 a))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a)))) (* (+ (* a a) -1) (* (* b b) (- 9 (* a a))))) (* (- a 1) (* (* (* a a) (- 9 (* a a))) (- 1 (pow (* a a) 3)))))) (* (* 4 (- a 1)) (+ (* (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) b) (* a a))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (* (- a 1) (+ 3 a)) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (+ (* a a) -1) (- 3 a))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 658 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (218 enodes) * [exit]simplify: Simplified to (* (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b (* b 2)) (* a a)) (* (* b (* b 2)) (* a a)))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (+ -1 a))))) (* (* 4 (* (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) (+ (* (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a)))) (* (* (- 9 (* a a)) (- (* a a) 1)) (* b b))) (* (+ -1 a) (* (* (* a a) (- 9 (* a a))) (- 1 (* (pow a 3) (pow a 3)))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b (* b 2)) (* a a)) (* (* b (* b 2)) (* a a)))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (+ -1 a))))) (* (* 4 (* (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) (+ (* (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a)))) (* (* (- 9 (* a a)) (- (* a a) 1)) (* b b))) (* (+ -1 a) (* (* (* a a) (- 9 (* a a))) (- 1 (* (pow a 3) (pow a 3)))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 659 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a)))) (* (* (- (* a a) 1) (* b b)) (- 9 (* a a)))) (* (- a 1) (* (* (* a a) (- 9 (* a a))) (- 1 (pow (* a a) 3))))) (* (* (* 4 (* (+ 3 a) (+ (- 1 a) (* a a)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a)))) (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (* (* (- a 1) (+ 3 a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a)))) (* (* (- (* a a) 1) (* b b)) (- 9 (* a a)))) (* (- a 1) (* (* (* a a) (- 9 (* a a))) (- 1 (pow (* a a) 3))))) (* (* (* 4 (* (+ 3 a) (+ (- 1 a) (* a a)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a)))) (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (* (* (- a 1) (+ 3 a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 660 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (208 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* 4 (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (- a 1) (+ 9 (* a (+ a 3))))) (+ (* (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a)))) (* (* b b) (* (- (* a a) 1) (- 9 (* a a))))) (* (- a 1) (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3))))))) (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ a 3) (- a 1))) (* (- (* a a) 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* 4 (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (- a 1) (+ 9 (* a (+ a 3))))) (+ (* (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a)))) (* (* b b) (* (- (* a a) 1) (- 9 (* a a))))) (* (- a 1) (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3))))))) (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ a 3) (- a 1))) (* (- (* a a) 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 661 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 9 (* a a)) (+ (* a a) -1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))) (* (* (* (+ 3 a) (- a 1)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a)))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (* b b))) (* (- a 1) (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (* (+ 3 a) (- a 1))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 9 (* a a)) (+ (* a a) -1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))) (* (* (* (+ 3 a) (- a 1)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a)))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (* b b))) (* (- a 1) (* (* (- 9 (* a a)) (* a a)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (* (+ 3 a) (- a 1))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 662 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ a 3) (- a 1))) (* (+ 1 a) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) b) (* a a)) 3))) (* (+ (* (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a)))) (* (* (- 9 (* a a)) (* b b)) (- (* a a) 1))) (* (- a 1) (* (* (* a a) (- 9 (* a a))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) b) (* a a)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ a 3) (- a 1))) (* (+ 1 a) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) b) (* a a)) 3))) (* (+ (* (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a)))) (* (* (- 9 (* a a)) (* b b)) (- (* a a) 1))) (* (- a 1) (* (* (* a a) (- 9 (* a a))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) b) (* a a)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 663 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (188 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 a) (- 9 (* a a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a)))) (* (* (* (+ a -1) (+ a 3)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a)))) (* (- (* a a) 1) (* (* b b) (- 9 (* a a))))) (* (+ a -1) (* (* (* a a) (- 9 (* a a))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ a 3)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 1 a) (- 9 (* a a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a)))) (* (* (* (+ a -1) (+ a 3)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a)))) (* (- (* a a) 1) (* (* b b) (- 9 (* a a))))) (* (+ a -1) (* (* (* a a) (- 9 (* a a))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ a 3)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 664 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a)))) (* (* (- 9 (* a a)) (- (* a a) 1)) (* b b))) (* (- a 1) (* (* (* a a) (- 9 (* a a))) (- 1 (pow (* a a) 3))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ a 3) (- a 1)))) (* (* (- 3 a) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a)))) (* (* (- 9 (* a a)) (- (* a a) 1)) (* b b))) (* (- a 1) (* (* (* a a) (- 9 (* a a))) (- 1 (pow (* a a) 3))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ a 3) (- a 1)))) (* (* (- 3 a) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 665 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (182 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) (* (* (- 3 a) (- (* a a) 1)) (* (* (- a 1) (+ 3 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))) (* (+ (* (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a)))) (* (* (- 9 (* a a)) (- (* a a) 1)) (* b b))) (* (* (- a 1) (- 1 (* (pow a 3) (pow a 3)))) (* (* a a) (- 9 (* a a))))) (* (* (* 4 (- a 1)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) (* (* (- 3 a) (- (* a a) 1)) (* (* (- a 1) (+ 3 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))) (* (+ (* (+ (+ 3 a) (* (* (+ 3 a) (* a a)) (+ 1 (* a a)))) (* (* (- 9 (* a a)) (- (* a a) 1)) (* b b))) (* (* (- a 1) (- 1 (* (pow a 3) (pow a 3)))) (* (* a a) (- 9 (* a a))))) (* (* (* 4 (- a 1)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 666 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a)))) (* (* b b) (* (- (* a a) 1) (- 9 (* a a))))) (* (- a 1) (* (* (* a a) (- 9 (* a a))) (- 1 (pow (* a a) 3))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (- a 1) (+ a 3)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (* (- 27 (pow a 3)) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a)))) (* (* b b) (* (- (* a a) 1) (- 9 (* a a))))) (* (- a 1) (* (* (* a a) (- 9 (* a a))) (- 1 (pow (* a a) 3))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (- a 1) (+ a 3)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (* (- 27 (pow a 3)) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 667 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (181 enodes) * [exit]simplify: Simplified to (+ (* (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a)))) (* (* (* (+ a -1) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a)))) (* (* (- 9 (* a a)) (- (* a a) 1)) (* b b))) (* (+ a -1) (* (* (* a a) (- 9 (* a a))) (- 1 (pow (* a a) 3))))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a)))) (* (* (* (+ a -1) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a)))) (* (* (- 9 (* a a)) (- (* a a) 1)) (* b b))) (* (+ a -1) (* (* (* a a) (- 9 (* a a))) (- 1 (pow (* a a) 3))))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 668 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (187 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- (* a a) 1) (- 27 (pow a 3))) (* (+ (* (* (* b b) 2) (* a a)) (+ (pow b 4) (pow a 4))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ 3 a) (- a 1)))))) (* (+ (* (* (+ 3 a) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (* (- (* a a) 1) b) (* b (- 9 (* a a))))) (* (- a 1) (* (* (* a a) (- 9 (* a a))) (- 1 (pow (* a a) 3))))) (* (* (* 4 (- a 1)) (+ 9 (* a (+ 3 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- (* a a) 1) (- 27 (pow a 3))) (* (+ (* (* (* b b) 2) (* a a)) (+ (pow b 4) (pow a 4))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ 3 a) (- a 1)))))) (* (+ (* (* (+ 3 a) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (* (- (* a a) 1) b) (* b (- 9 (* a a))))) (* (- a 1) (* (* (* a a) (- 9 (* a a))) (- 1 (pow (* a a) 3))))) (* (* (* 4 (- a 1)) (+ 9 (* a (+ 3 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 669 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- a 1) (+ 3 a))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (- 9 (* a a)) (- (* a a) 1)) (* b b))) (* (* (- a 1) (* (* a a) (- 9 (* a a)))) (- 1 (pow (* a a) 3)))) (* (* (* (+ 3 a) (- a 1)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (- a 1) (* (- 9 (* a a)) (- (* a a) 1))) (+ (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (- 9 (* a a)) (- (* a a) 1)) (* b b))) (* (* (- a 1) (* (* a a) (- 9 (* a a)))) (- 1 (pow (* a a) 3)))) (* (* (* (+ 3 a) (- a 1)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (- a 1) (* (- 9 (* a a)) (- (* a a) 1))) (+ (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 670 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- a 1) (+ a 3)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (* (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))) (* (- 27 (pow a 3)) (+ 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (+ a 3) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (* (- (* a a) 1) (* b b)) (- 9 (* a a)))) (* (- a 1) (* (* (* a a) (- 9 (* a a))) (- 1 (pow (* a a) 3))))) (* (+ 36 (* 4 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- a 1) (+ a 3)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (* (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))) (* (- 27 (pow a 3)) (+ 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (+ a 3) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (* (- (* a a) 1) (* b b)) (- 9 (* a a)))) (* (- a 1) (* (* (* a a) (- 9 (* a a))) (- 1 (pow (* a a) 3))))) (* (+ 36 (* 4 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 671 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (+ 3 a)) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (- 9 (* a a)) (* b b)) (- (* a a) 1))) (* (* (+ a -1) (- 9 (* a a))) (* (* a a) (- 1 (pow (* a a) 3))))) (* (+ (* a 4) 12) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (+ a -1) (+ 3 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (* (- 9 (* a a)) (+ 1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (- 9 (* a a)) (* b b)) (- (* a a) 1))) (* (* (+ a -1) (- 9 (* a a))) (* (* a a) (- 1 (pow (* a a) 3))))) (* (+ (* a 4) 12) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (+ a -1) (+ 3 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (* (- 9 (* a a)) (+ 1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (+ 3 a))))) 1)) * * * * [misc]progress: [ 672 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b (* b 2)) (* a a)) 3)) (* (* (* (- a 1) (+ 3 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))))) (* (- 3 a) (+ (pow a 3) 1))) (* (+ (* (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (- (* a a) 1) b) (* b (- 9 (* a a))))) (* (- a 1) (* (* (* a a) (- 9 (* a a))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b (* b 2)) (* a a)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b (* b 2)) (* a a)) 3)) (* (* (* (- a 1) (+ 3 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))))) (* (- 3 a) (+ (pow a 3) 1))) (* (+ (* (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (- (* a a) 1) b) (* b (- 9 (* a a))))) (* (- a 1) (* (* (* a a) (- 9 (* a a))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b (* b 2)) (* a a)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 673 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (- a 1)) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- a 1) (+ 3 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 3 a) (- (* a a) 1))) (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (- (* a a) 1) (* b b)) (- 9 (* a a)))) (* (- a 1) (* (* (* a a) (- 9 (* a a))) (- 1 (pow (* a a) 3))))) (* (+ (* a 4) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (* (- a 1) (+ 3 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 3 a) (- (* a a) 1))) (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (- (* a a) 1) (* b b)) (- 9 (* a a)))) (* (- a 1) (* (* (* a a) (- 9 (* a a))) (- 1 (pow (* a a) 3))))) (* (+ (* a 4) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (- a 1))))) 1)) * * * * [misc]progress: [ 674 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a)))) (* (* (+ (* a a) -1) b) (* b (- 9 (* a a))))) (* (+ a -1) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3)))))) (* (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) 4)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (+ a -1)))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- 3 a) (+ 1 a))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (+ a 3) (* (* (+ a 3) (* a a)) (+ 1 (* a a)))) (* (* (+ (* a a) -1) b) (* b (- 9 (* a a))))) (* (+ a -1) (* (* (- 9 (* a a)) (* a a)) (- 1 (pow (* a a) 3)))))) (* (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) 4)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ a 3) (+ a -1)))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- 3 a) (+ 1 a))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 675 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (* (- 3 a) (+ 1 a))) (* (* (* (- a 1) (+ 3 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (- 9 (* a a)) (* b b)) (- (* a a) 1))) (* (- a 1) (* (* (* a a) (- 9 (* a a))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (* (- 3 a) (+ 1 a))) (* (* (* (- a 1) (+ 3 a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (* (+ 3 a) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (- 9 (* a a)) (* b b)) (- (* a a) 1))) (* (- a 1) (* (* (* a a) (- 9 (* a a))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 676 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (+ (- 1 a) (* a a)))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ (- 1 a) (* a a)) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (* (* (- 1 (pow a 4)) (* a a)) (- 9 (* a a)))) (* (* (* (* b b) (+ 1 (pow a 3))) (+ (+ a 3) (* (+ a 3) (* a a)))) (- 729 (* (pow a 3) (pow a 3)))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (+ (- 1 a) (* a a)))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ (- 1 a) (* a a)) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (* (* (- 1 (pow a 4)) (* a a)) (- 9 (* a a)))) (* (* (* (* b b) (+ 1 (pow a 3))) (+ (+ a 3) (* (+ a 3) (* a a)))) (- 729 (* (pow a 3) (pow a 3)))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 677 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (220 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ a 3) (* (* (+ (* a a) 1) (+ (- 1 a) (* a a))) (+ (+ 81 (pow a 4)) (* a (* a 9)))))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (- 1 a) (* a a)) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (* (* (* a a) (- 9 (* a a))) (- 1 (pow a 4)))) (* (* (+ (+ a 3) (* (+ a 3) (* a a))) (- 729 (* (pow a 3) (pow a 3)))) (* (* b b) (+ 1 (pow a 3)))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (* (* (* (* b 2) (* b a)) a) (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ a 3) (* (* (+ (* a a) 1) (+ (- 1 a) (* a a))) (+ (+ 81 (pow a 4)) (* a (* a 9)))))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (- 1 a) (* a a)) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (* (* (* a a) (- 9 (* a a))) (- 1 (pow a 4)))) (* (* (+ (+ a 3) (* (+ a 3) (* a a))) (- 729 (* (pow a 3) (pow a 3)))) (* (* b b) (+ 1 (pow a 3)))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (* (* (* (* b 2) (* b a)) a) (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 678 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (242 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (- 1 a) (* a a)) (+ (+ 81 (pow a 4)) (* (* a 9) a))) (* (* (- 1 (pow a 4)) (* a a)) (- 9 (* a a)))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ 1 (pow a 3)))) (+ (+ a 3) (* (+ a 3) (* a a)))))) (* (* 4 (* (- a 1) (+ 9 (* a (+ a 3))))) (+ (* (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ 81 (pow a 4)) (* (* a 9) a)) (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ (- 1 a) (* a a))))) (* (* (- 27 (pow a 3)) (+ (* a a) -1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (- 1 a) (* a a)) (+ (+ 81 (pow a 4)) (* (* a 9) a))) (* (* (- 1 (pow a 4)) (* a a)) (- 9 (* a a)))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ 1 (pow a 3)))) (+ (+ a 3) (* (+ a 3) (* a a)))))) (* (* 4 (* (- a 1) (+ 9 (* a (+ a 3))))) (+ (* (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ 81 (pow a 4)) (* (* a 9) a)) (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ (- 1 a) (* a a))))) (* (* (- 27 (pow a 3)) (+ (* a a) -1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 679 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (+ 81 (pow a 4)) (* a (* a 9))) (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ (- 1 a) (* a a))))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ (- 1 a) (* a a)) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (* (* (* a a) (- 9 (* a a))) (- 1 (pow a 4)))) (* (* (+ (+ a 3) (* (+ a 3) (* a a))) (- 729 (* (pow a 3) (pow a 3)))) (* (* b b) (+ 1 (pow a 3)))))) (* (* 4 (* (- a 1) (+ a 3))) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (+ 81 (pow a 4)) (* a (* a 9))) (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ (- 1 a) (* a a))))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ (- 1 a) (* a a)) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (* (* (* a a) (- 9 (* a a))) (- 1 (pow a 4)))) (* (* (+ (+ a 3) (* (+ a 3) (* a a))) (- 729 (* (pow a 3) (pow a 3)))) (* (* b b) (+ 1 (pow a 3)))))) (* (* 4 (* (- a 1) (+ a 3))) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 680 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (234 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (* (+ (* a a) 1) (+ (- 1 a) (* a a))) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (+ a 3))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 1 a) (- 27 (pow a 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ (- 1 a) (* a a)) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (* (* (- 1 (pow a 4)) (* a a)) (- 9 (* a a)))) (* (* (* (* b b) (+ 1 (pow a 3))) (+ (+ a 3) (* (+ a 3) (* a a)))) (- 729 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (* (+ (* a a) 1) (+ (- 1 a) (* a a))) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (+ a 3))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 1 a) (- 27 (pow a 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ (- 1 a) (* a a)) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (* (* (- 1 (pow a 4)) (* a a)) (- 9 (* a a)))) (* (* (* (* b b) (+ 1 (pow a 3))) (+ (+ a 3) (* (+ a 3) (* a a)))) (- 729 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 681 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (218 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (+ 3 a) (* (+ 3 a) (* a a)))) (* (* (* (+ (- 1 a) (* a a)) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (* (+ 1 a) (- 9 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (+ (- 1 a) (* a a)))) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (* b b) (+ 1 (pow a 3))) (+ (+ 3 a) (* (+ 3 a) (* a a))))))) (* (* 4 (+ 3 a)) (+ (* (* (* b 2) (* b (* a a))) (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (+ 3 a) (* (+ 3 a) (* a a)))) (* (* (* (+ (- 1 a) (* a a)) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (* (+ 1 a) (- 9 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (+ (- 1 a) (* a a)))) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (* b b) (+ 1 (pow a 3))) (+ (+ 3 a) (* (+ 3 a) (* a a))))))) (* (* 4 (+ 3 a)) (+ (* (* (* b 2) (* b (* a a))) (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 682 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (217 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (- 1 a) (* a a)) (+ (+ (pow a 4) 81) (* (* a 9) a))) (* (* (* a a) (- 9 (* a a))) (- 1 (pow a 4)))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ 1 (pow a 3)))) (+ (* (+ a 3) (* a a)) (+ a 3))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (* (* (* b 2) (* b a)) a) (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ (+ (pow a 4) 81) (* (* a 9) a))) (+ (- 1 a) (* a a)))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 1 (pow a 3)) (- 3 a))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (- 1 a) (* a a)) (+ (+ (pow a 4) 81) (* (* a 9) a))) (* (* (* a a) (- 9 (* a a))) (- 1 (pow a 4)))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ 1 (pow a 3)))) (+ (* (+ a 3) (* a a)) (+ a 3))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (* (* (* b 2) (* b a)) a) (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ (+ (pow a 4) 81) (* (* a 9) a))) (+ (- 1 a) (* a a)))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 1 (pow a 3)) (- 3 a))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 683 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (219 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (* a (* a 9)) (+ (pow a 4) 81)) (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (+ (- 1 a) (* a a))))) (* (* (+ (+ 3 a) (* (+ 3 a) (* a a))) (+ 1 (pow a 3))) (* (* b b) (- 729 (* (pow a 3) (pow a 3))))))) (* (* 4 (+ -1 a)) (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (+ 3 a) (* (+ 3 a) (* a a)))) (* (* (* (+ (- 1 a) (* a a)) (+ (* a (* a 9)) (+ (pow a 4) 81))) (* (- 3 a) (+ (* a a) -1))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (* a (* a 9)) (+ (pow a 4) 81)) (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (+ (- 1 a) (* a a))))) (* (* (+ (+ 3 a) (* (+ 3 a) (* a a))) (+ 1 (pow a 3))) (* (* b b) (- 729 (* (pow a 3) (pow a 3))))))) (* (* 4 (+ -1 a)) (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (+ 3 a) (* (+ 3 a) (* a a)))) (* (* (* (+ (- 1 a) (* a a)) (+ (* a (* a 9)) (+ (pow a 4) 81))) (* (- 3 a) (+ (* a a) -1))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 684 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (228 enodes) * [exit]simplify: Simplified to (* (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (* (+ (+ 3 a) (* (+ 3 a) (* a a))) (+ (- 1 a) (* a a))) (+ (+ 81 (pow a 4)) (* a (* a 9))))) (* (- 27 (pow a 3)) (+ 1 (pow a 3)))) (* (+ (* (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (+ (- 1 a) (* a a)))) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (* (* (* b b) (+ 1 (pow a 3))) (* (- 729 (* (pow a 3) (pow a 3))) (+ (+ 3 a) (* (+ 3 a) (* a a)))))) (* (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ 3 a))))) 4))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (* (+ (+ 3 a) (* (+ 3 a) (* a a))) (+ (- 1 a) (* a a))) (+ (+ 81 (pow a 4)) (* a (* a 9))))) (* (- 27 (pow a 3)) (+ 1 (pow a 3)))) (* (+ (* (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (+ (- 1 a) (* a a)))) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (* (* (* b b) (+ 1 (pow a 3))) (* (- 729 (* (pow a 3) (pow a 3))) (+ (+ 3 a) (* (+ 3 a) (* a a)))))) (* (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ 3 a))))) 4))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 685 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (- 1 a) (* a a)) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (* (* (- 1 (pow a 4)) (* a a)) (- 9 (* a a)))) (* (* (* (* b b) (+ 1 (pow a 3))) (+ (+ 3 a) (* (+ 3 a) (* a a)))) (- 729 (* (pow a 3) (pow a 3))))) (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ 3 a))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (* (* (+ (* a a) 1) (* (+ (- 1 a) (* a a)) (+ 3 a))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (- 1 a) (* a a)) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (* (* (- 1 (pow a 4)) (* a a)) (- 9 (* a a)))) (* (* (* (* b b) (+ 1 (pow a 3))) (+ (+ 3 a) (* (+ 3 a) (* a a)))) (- 729 (* (pow a 3) (pow a 3))))) (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ 3 a))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (* (* (+ (* a a) 1) (* (+ (- 1 a) (* a a)) (+ 3 a))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 686 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (235 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (+ (- 1 a) (* a a)) (+ (+ 81 (pow a 4)) (* (* a 9) a))) (* (* (- 1 (pow a 4)) (- 9 (* a a))) (* a a))) (* (* (* b b) (+ 1 (pow a 3))) (* (- 729 (* (pow a 3) (pow a 3))) (+ (* (+ a 3) (* a a)) (+ a 3))))) (* (* 4 (* (- a 1) (+ (* a (+ a 3)) 9))) (- (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))) (* (* (* (* (+ (- 1 a) (* a a)) (+ (+ 81 (pow a 4)) (* (* a 9) a))) (* (- 27 (pow a 3)) (+ (* a a) -1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))) (+ (* (+ a 3) (* a a)) (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (* (+ (- 1 a) (* a a)) (+ (+ 81 (pow a 4)) (* (* a 9) a))) (* (* (- 1 (pow a 4)) (- 9 (* a a))) (* a a))) (* (* (* b b) (+ 1 (pow a 3))) (* (- 729 (* (pow a 3) (pow a 3))) (+ (* (+ a 3) (* a a)) (+ a 3))))) (* (* 4 (* (- a 1) (+ (* a (+ a 3)) 9))) (- (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))) (* (* (* (* (+ (- 1 a) (* a a)) (+ (+ 81 (pow a 4)) (* (* a 9) a))) (* (- 27 (pow a 3)) (+ (* a a) -1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))) (+ (* (+ a 3) (* a a)) (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 687 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (219 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (- 1 a) (* a a)) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (* (* (* a a) (- 9 (* a a))) (- 1 (pow a 4)))) (* (* (+ (* (+ 3 a) (* a a)) (+ 3 a)) (+ 1 (pow a 3))) (* (* b b) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (* (+ a -1) (+ 3 a))) (- (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ 3 a) (* a a)) (+ 3 a))) (* (* (* (+ (- 1 a) (* a a)) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (* (+ (* a a) -1) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (- 1 a) (* a a)) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (* (* (* a a) (- 9 (* a a))) (- 1 (pow a 4)))) (* (* (+ (* (+ 3 a) (* a a)) (+ 3 a)) (+ 1 (pow a 3))) (* (* b b) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (* (+ a -1) (+ 3 a))) (- (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ 3 a) (* a a)) (+ 3 a))) (* (* (* (+ (- 1 a) (* a a)) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (* (+ (* a a) -1) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 688 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (- 1 a) (* a a)) (+ (* 9 (* a a)) (+ (pow a 4) 81))) (* (* (- 1 (pow a 4)) (* a a)) (- 9 (* a a)))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (* b b) (+ 1 (pow a 3))) (+ (+ a 3) (* (+ a 3) (* a a)))))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (+ a 3) (* (+ a 3) (* a a)))) (* (* (* (+ (- 1 a) (* a a)) (+ (* 9 (* a a)) (+ (pow a 4) 81))) (* (+ 1 a) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (- 1 a) (* a a)) (+ (* 9 (* a a)) (+ (pow a 4) 81))) (* (* (- 1 (pow a 4)) (* a a)) (- 9 (* a a)))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (* b b) (+ 1 (pow a 3))) (+ (+ a 3) (* (+ a 3) (* a a)))))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (+ a 3) (* (+ a 3) (* a a)))) (* (* (* (+ (- 1 a) (* a a)) (+ (* 9 (* a a)) (+ (pow a 4) 81))) (* (+ 1 a) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 689 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (- 1 a) (* a a)) (+ (* 9 (* a a)) (+ (pow a 4) 81))) (* (* (* a a) (- 9 (* a a))) (- 1 (pow a 4)))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (* b b) (+ 1 (pow a 3))) (+ (+ a 3) (* (+ a 3) (* a a)))))) (* (* (* 4 (+ a 3)) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (+ 1 a) (- 9 (* a a)))) (* (* (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ (* 9 (* a a)) (+ (pow a 4) 81))) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (- 1 a) (* a a)) (+ (* 9 (* a a)) (+ (pow a 4) 81))) (* (* (* a a) (- 9 (* a a))) (- 1 (pow a 4)))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (* b b) (+ 1 (pow a 3))) (+ (+ a 3) (* (+ a 3) (* a a)))))) (* (* (* 4 (+ a 3)) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (+ 1 a) (- 9 (* a a)))) (* (* (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ (* 9 (* a a)) (+ (pow a 4) 81))) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 690 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- 1 a) (* a a)) (* (+ (* (* a 9) a) (+ (pow a 4) 81)) (+ (* (+ 3 a) (* a a)) (+ 3 a)))) (* (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (* (* (+ 1 (pow a 3)) (- 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (* (+ (- 1 a) (* a a)) (+ (* (* a 9) a) (+ (pow a 4) 81))) (* (* (- 1 (pow a 4)) (- 9 (* a a))) (* a a))) (* (* (+ (* (+ 3 a) (* a a)) (+ 3 a)) (+ 1 (pow a 3))) (* (* b b) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ (- 1 a) (* a a))) (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- 1 a) (* a a)) (* (+ (* (* a 9) a) (+ (pow a 4) 81)) (+ (* (+ 3 a) (* a a)) (+ 3 a)))) (* (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (* (* (+ 1 (pow a 3)) (- 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (* (+ (- 1 a) (* a a)) (+ (* (* a 9) a) (+ (pow a 4) 81))) (* (* (- 1 (pow a 4)) (- 9 (* a a))) (* a a))) (* (* (+ (* (+ 3 a) (* a a)) (+ 3 a)) (+ 1 (pow a 3))) (* (* b b) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ (- 1 a) (* a a))) (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 691 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (211 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (- 1 a) (* a a)) (+ (* a (* a 9)) (+ (pow a 4) 81))) (* (* (* a a) (- 9 (* a a))) (- 1 (pow a 4)))) (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (- 729 (* (pow a 3) (pow a 3)))) (* (* b b) (+ 1 (pow a 3))))) (* (* (* 4 (+ -1 a)) (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (+ a 3) (* (* (+ (* a a) 1) (+ (- 1 a) (* a a))) (+ (* a (* a 9)) (+ (pow a 4) 81)))) (* (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (* (* (- 3 a) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (- 1 a) (* a a)) (+ (* a (* a 9)) (+ (pow a 4) 81))) (* (* (* a a) (- 9 (* a a))) (- 1 (pow a 4)))) (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (- 729 (* (pow a 3) (pow a 3)))) (* (* b b) (+ 1 (pow a 3))))) (* (* (* 4 (+ -1 a)) (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (+ a 3) (* (* (+ (* a a) 1) (+ (- 1 a) (* a a))) (+ (* a (* a 9)) (+ (pow a 4) 81)))) (* (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (* (* (- 3 a) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 692 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (+ 81 (pow a 4)) (* a (* a 9))) (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (+ (- 1 a) (* a a))))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (* b b) (+ 1 (pow a 3))) (+ (* (+ 3 a) (* a a)) (+ 3 a))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ 9 (* a (+ 3 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3)))) (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (* (+ 3 a) (* (* (+ (* a a) 1) (+ (- 1 a) (* a a))) (+ (+ 81 (pow a 4)) (* a (* a 9)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (+ 81 (pow a 4)) (* a (* a 9))) (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (+ (- 1 a) (* a a))))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (* b b) (+ 1 (pow a 3))) (+ (* (+ 3 a) (* a a)) (+ 3 a))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ 9 (* a (+ 3 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3)))) (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (* (+ 3 a) (* (* (+ (* a a) 1) (+ (- 1 a) (* a a))) (+ (+ 81 (pow a 4)) (* a (* a 9)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 693 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (* (+ (* a (* a 9)) (+ (pow a 4) 81)) (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ (- 1 a) (* a a)))))) (* (+ (* (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (+ (- 1 a) (* a a)))) (+ (* a (* a 9)) (+ (pow a 4) 81))) (* (* (* (* b b) (+ 1 (pow a 3))) (+ (+ a 3) (* (+ a 3) (* a a)))) (- 729 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (* (+ (* a (* a 9)) (+ (pow a 4) 81)) (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ (- 1 a) (* a a)))))) (* (+ (* (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (+ (- 1 a) (* a a)))) (+ (* a (* a 9)) (+ (pow a 4) 81))) (* (* (* (* b b) (+ 1 (pow a 3))) (+ (+ a 3) (* (+ a 3) (* a a)))) (- 729 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 694 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (213 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (- 1 a) (* a a)) (* (+ (* a (* a 9)) (+ (pow a 4) 81)) (+ (+ a 3) (* (+ a 3) (* a a)))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ (* a a) -1) (- 27 (pow a 3))))) (* (+ (* (+ (* a (* a 9)) (+ (pow a 4) 81)) (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (+ (- 1 a) (* a a))))) (* (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ 1 (pow a 3))) (* (* b b) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (- a 1)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (- 1 a) (* a a)) (* (+ (* a (* a 9)) (+ (pow a 4) 81)) (+ (+ a 3) (* (+ a 3) (* a a)))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ (* a a) -1) (- 27 (pow a 3))))) (* (+ (* (+ (* a (* a 9)) (+ (pow a 4) 81)) (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (+ (- 1 a) (* a a))))) (* (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ 1 (pow a 3))) (* (* b b) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (- a 1)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 695 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ 3 a))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (+ 3 a) (* a a)) (+ 3 a)) (+ (- 1 a) (* a a))) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (* (- 1 (pow a 4)) (+ (- 1 a) (* a a))) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (* (* a a) (- 9 (* a a)))) (* (* (* b b) (+ 1 (pow a 3))) (* (- 729 (* (pow a 3) (pow a 3))) (+ (* (+ 3 a) (* a a)) (+ 3 a))))) (* (* (* 4 (+ 3 a)) (- a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (* (+ 3 a) (* a a)) (+ 3 a)) (+ (- 1 a) (* a a))) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (* (- 1 (pow a 4)) (+ (- 1 a) (* a a))) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (* (* a a) (- 9 (* a a)))) (* (* (* b b) (+ 1 (pow a 3))) (* (- 729 (* (pow a 3) (pow a 3))) (+ (* (+ 3 a) (* a a)) (+ 3 a))))) (* (* (* 4 (+ 3 a)) (- a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 696 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (205 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (- 1 (pow a 4)) (+ (- 1 a) (* a a))) (+ (* 9 (* a a)) (+ (pow a 4) 81))) (* (* a a) (- 9 (* a a)))) (* (* (* b b) (+ 1 (pow a 3))) (* (- 729 (* (pow a 3) (pow a 3))) (+ (* (+ 3 a) (* a a)) (+ 3 a))))) (* (+ 36 (* (* a (+ 3 a)) 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)))) (* (* (* (+ 3 a) (* (* (+ (* a a) 1) (+ (- 1 a) (* a a))) (+ (* 9 (* a a)) (+ (pow a 4) 81)))) (* (* (+ 1 a) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (- 1 (pow a 4)) (+ (- 1 a) (* a a))) (+ (* 9 (* a a)) (+ (pow a 4) 81))) (* (* a a) (- 9 (* a a)))) (* (* (* b b) (+ 1 (pow a 3))) (* (- 729 (* (pow a 3) (pow a 3))) (+ (* (+ 3 a) (* a a)) (+ 3 a))))) (* (+ 36 (* (* a (+ 3 a)) 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)))) (* (* (* (+ 3 a) (* (* (+ (* a a) 1) (+ (- 1 a) (* a a))) (+ (* 9 (* a a)) (+ (pow a 4) 81)))) (* (* (+ 1 a) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 697 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ 3 a)) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (- 9 (* a a)) (+ 1 a))) (* (* (* (* (+ (* a a) 1) (+ (- 1 a) (* a a))) (+ (* (* a 9) a) (+ (pow a 4) 81))) (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (+ (- 1 a) (* a a)) (+ (* (* a 9) a) (+ (pow a 4) 81))) (* (* (* a a) (- 9 (* a a))) (- 1 (pow a 4)))) (* (* (* b b) (+ 1 (pow a 3))) (* (- 729 (* (pow a 3) (pow a 3))) (+ (+ a 3) (* (+ a 3) (* a a)))))) (* (+ 12 (* a 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (- 9 (* a a)) (+ 1 a))) (* (* (* (* (+ (* a a) 1) (+ (- 1 a) (* a a))) (+ (* (* a 9) a) (+ (pow a 4) 81))) (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (+ (- 1 a) (* a a)) (+ (* (* a 9) a) (+ (pow a 4) 81))) (* (* (* a a) (- 9 (* a a))) (- 1 (pow a 4)))) (* (* (* b b) (+ 1 (pow a 3))) (* (- 729 (* (pow a 3) (pow a 3))) (+ (+ a 3) (* (+ a 3) (* a a)))))) (* (+ 12 (* a 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 698 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* 2 a))) 3)) (* (* (* (+ (* a a) 1) (+ (- 1 a) (* a a))) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (+ 3 a))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* (- 3 a) (+ 1 (pow a 3))))) (* (+ (* (* (+ (- 1 a) (* a a)) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (* (* (- 1 (pow a 4)) (- 9 (* a a))) (* a a))) (* (* (* b b) (+ 1 (pow a 3))) (* (- 729 (* (pow a 3) (pow a 3))) (+ (* (+ 3 a) (* a a)) (+ 3 a))))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* 2 a))) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* 2 a))) 3)) (* (* (* (+ (* a a) 1) (+ (- 1 a) (* a a))) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (+ 3 a))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* (- 3 a) (+ 1 (pow a 3))))) (* (+ (* (* (+ (- 1 a) (* a a)) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (* (* (- 1 (pow a 4)) (- 9 (* a a))) (* a a))) (* (* (* b b) (+ 1 (pow a 3))) (* (- 729 (* (pow a 3) (pow a 3))) (+ (* (+ 3 a) (* a a)) (+ 3 a))))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* 2 a))) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 699 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- a 1)) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (- 3 a) (- (* a a) 1))) (* (+ (+ (pow a 4) 81) (* a (* a 9))) (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ (- 1 a) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (+ (+ (pow a 4) 81) (* a (* a 9))) (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (+ (- 1 a) (* a a))))) (* (* (* b b) (+ 1 (pow a 3))) (* (- 729 (* (pow a 3) (pow a 3))) (+ (+ a 3) (* (+ a 3) (* a a)))))) (* (+ (* 4 a) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (- 3 a) (- (* a a) 1))) (* (+ (+ (pow a 4) 81) (* a (* a 9))) (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ (- 1 a) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (+ (+ (pow a 4) 81) (* a (* a 9))) (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (+ (- 1 a) (* a a))))) (* (* (* b b) (+ 1 (pow a 3))) (* (- 729 (* (pow a 3) (pow a 3))) (+ (+ a 3) (* (+ a 3) (* a a)))))) (* (+ (* 4 a) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (- a 1))))) 1)) * * * * [misc]progress: [ 700 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (+ (- 1 a) (* a a)) (+ (* a (* a 9)) (+ (pow a 4) 81))) (* (* (- 1 (pow a 4)) (* a a)) (- 9 (* a a)))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (* b b) (+ 1 (pow a 3))) (+ (* (+ 3 a) (* a a)) (+ 3 a))))) 4)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* a (* a 9)) (+ (pow a 4) 81)) (* (+ (* (+ 3 a) (* a a)) (+ 3 a)) (+ (- 1 a) (* a a))))) (* (* (- 3 a) (+ 1 a)) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (+ (- 1 a) (* a a)) (+ (* a (* a 9)) (+ (pow a 4) 81))) (* (* (- 1 (pow a 4)) (* a a)) (- 9 (* a a)))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (* b b) (+ 1 (pow a 3))) (+ (* (+ 3 a) (* a a)) (+ 3 a))))) 4)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* a (* a 9)) (+ (pow a 4) 81)) (* (+ (* (+ 3 a) (* a a)) (+ 3 a)) (+ (- 1 a) (* a a))))) (* (* (- 3 a) (+ 1 a)) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 701 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (- 1 (pow a 4)) (+ (- 1 a) (* a a))) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (* (* a a) (- 9 (* a a)))) (* (* (* b b) (+ 1 (pow a 3))) (* (- 729 (* (pow a 3) (pow a 3))) (+ (+ a 3) (* (+ a 3) (* a a)))))) (* (* 4 (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* a a) (* b b))) 3)))) (* (* (* (+ 1 a) (- 3 a)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b)))))) (* (* (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ (- 1 a) (* a a))) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* a a) (* b b))) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (- 1 (pow a 4)) (+ (- 1 a) (* a a))) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (* (* a a) (- 9 (* a a)))) (* (* (* b b) (+ 1 (pow a 3))) (* (- 729 (* (pow a 3) (pow a 3))) (+ (+ a 3) (* (+ a 3) (* a a)))))) (* (* 4 (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* a a) (* b b))) 3)))) (* (* (* (+ 1 a) (- 3 a)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b)))))) (* (* (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ (- 1 a) (* a a))) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* a a) (* b b))) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 702 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (220 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (+ a 3) (* (* a a) (+ a 3)))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ 1 (pow a 3)) (* (* (* b b) (- 81 (pow a 4))) (+ (+ a 3) (* (* a a) (+ a 3))))) (* (- 1 (pow a 4)) (* (* (* a a) (- 9 (* a a))) (* (+ 9 (* a a)) (+ (- 1 a) (* a a))))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ (* a (+ a 3)) 9))) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (+ a 3) (* (* a a) (+ a 3)))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ 1 (pow a 3)) (* (* (* b b) (- 81 (pow a 4))) (+ (+ a 3) (* (* a a) (+ a 3))))) (* (- 1 (pow a 4)) (* (* (* a a) (- 9 (* a a))) (* (+ 9 (* a a)) (+ (- 1 a) (* a a))))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ (* a (+ a 3)) 9))) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 703 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ a 3)) (+ a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- 81 (pow a 4)) (* (+ (* (* a a) (+ a 3)) (+ a 3)) (* (* b b) (+ 1 (pow a 3))))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (- 9 (* a a))) (* (- 1 (pow a 4)) (* a a))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ a 3)) (+ a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- 81 (pow a 4)) (* (+ (* (* a a) (+ a 3)) (+ a 3)) (* (* b b) (+ 1 (pow a 3))))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (- 9 (* a a))) (* (- 1 (pow a 4)) (* a a))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 704 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- 81 (pow a 4)) (* (+ (+ 3 a) (* (* a a) (+ 3 a))) (* (* b b) (+ 1 (pow a 3))))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a)))))) (* (* 4 (* (- a 1) (+ (* a (+ 3 a)) 9))) (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (+ 3 a) (* (* a a) (+ 3 a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 27 (pow a 3)) (+ (* a a) -1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- 81 (pow a 4)) (* (+ (+ 3 a) (* (* a a) (+ 3 a))) (* (* b b) (+ 1 (pow a 3))))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a)))))) (* (* 4 (* (- a 1) (+ (* a (+ 3 a)) 9))) (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (+ 3 a) (* (* a a) (+ 3 a))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 27 (pow a 3)) (+ (* a a) -1))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 705 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (211 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ a 3) (* (* (+ (* a a) 1) (- 81 (pow a 4))) (* (* b b) (+ 1 (pow a 3))))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (- 9 (* a a))) (* (- 1 (pow a 4)) (* a a))))) (* (* 4 (* (+ a -1) (+ a 3))) (+ (* (* (* (* b 2) (* b a)) a) (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ a 3)) (+ a 3))) (* (+ (* a a) -1) (- 9 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ a 3) (* (* (+ (* a a) 1) (- 81 (pow a 4))) (* (* b b) (+ 1 (pow a 3))))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (- 9 (* a a))) (* (- 1 (pow a 4)) (* a a))))) (* (* 4 (* (+ a -1) (+ a 3))) (+ (* (* (* (* b 2) (* b a)) a) (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ a 3)) (+ a 3))) (* (+ (* a a) -1) (- 9 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 706 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (218 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (+ a 3) (* (* a a) (+ a 3)))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (+ 1 a) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* b b) (+ 1 (pow a 3))) (* (- 81 (pow a 4)) (+ (+ a 3) (* (* a a) (+ a 3))))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a)))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (+ a 3) (* (* a a) (+ a 3)))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (+ 1 a) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* b b) (+ 1 (pow a 3))) (* (- 81 (pow a 4)) (+ (+ a 3) (* (* a a) (+ a 3))))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a)))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 707 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ a 3)) (+ a 3))) (* (- 9 (* a a)) (+ 1 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ (* a a) 1) (+ 1 (pow a 3))) (* (* b b) (- 81 (pow a 4)))) (+ a 3)) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (* a a) (- 9 (* a a))) (- 1 (pow a 4)))))) (* (* 4 (+ a 3)) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ a 3)) (+ a 3))) (* (- 9 (* a a)) (+ 1 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ (* a a) 1) (+ 1 (pow a 3))) (* (* b b) (- 81 (pow a 4)))) (+ a 3)) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (* a a) (- 9 (* a a))) (- 1 (pow a 4)))))) (* (* 4 (+ a 3)) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 708 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ (+ a 3) (* (* a a) (+ a 3))) (* (* b b) (+ 1 (pow a 3)))) (- 81 (pow a 4))) (* (+ 9 (* a a)) (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (+ (- 1 a) (* a a))))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (+ a 3) (* (* a a) (+ a 3)))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (- 3 a) (+ 1 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ (+ a 3) (* (* a a) (+ a 3))) (* (* b b) (+ 1 (pow a 3)))) (- 81 (pow a 4))) (* (+ 9 (* a a)) (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (+ (- 1 a) (* a a))))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (+ a 3) (* (* a a) (+ a 3)))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (- 3 a) (+ 1 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 709 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (203 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ 3 a) (* (* (+ (* a a) 1) (- 81 (pow a 4))) (* (* b b) (+ 1 (pow a 3))))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (* a a) (- 9 (* a a))) (- 1 (pow a 4)))))) (* (* 4 (- a 1)) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ 3 a)) (+ 3 a))) (* (+ (* a a) -1) (- 3 a))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ 3 a) (* (* (+ (* a a) 1) (- 81 (pow a 4))) (* (* b b) (+ 1 (pow a 3))))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (* a a) (- 9 (* a a))) (- 1 (pow a 4)))))) (* (* 4 (- a 1)) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ 3 a)) (+ 3 a))) (* (+ (* a a) -1) (- 3 a))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 710 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (* (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (* (* (+ (- 1 a) (* a a)) (+ 9 (* a a))) (+ (+ a 3) (* (* a a) (+ a 3)))))) (* (+ (* (+ a 3) (* (* (+ (* a a) 1) (- 81 (pow a 4))) (* (* b b) (+ 1 (pow a 3))))) (* (* (* (+ (- 1 a) (* a a)) (+ 9 (* a a))) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ (* a (+ a 3)) 9))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (* (* (+ (- 1 a) (* a a)) (+ 9 (* a a))) (+ (+ a 3) (* (* a a) (+ a 3)))))) (* (+ (* (+ a 3) (* (* (+ (* a a) 1) (- 81 (pow a 4))) (* (* b b) (+ 1 (pow a 3))))) (* (* (* (+ (- 1 a) (* a a)) (+ 9 (* a a))) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ (* a (+ a 3)) 9))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 711 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 81 (pow a 4)) (* (+ (* (* a a) (+ 3 a)) (+ 3 a)) (* (* b b) (+ 1 (pow a 3))))) (* (- 1 (pow a 4)) (* (* (* a a) (- 9 (* a a))) (* (+ 9 (* a a)) (+ (- 1 a) (* a a)))))) (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ 3 a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* a a) (+ 3 a)) (+ 3 a))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 81 (pow a 4)) (* (+ (* (* a a) (+ 3 a)) (+ 3 a)) (* (* b b) (+ 1 (pow a 3))))) (* (- 1 (pow a 4)) (* (* (* a a) (- 9 (* a a))) (* (+ 9 (* a a)) (+ (- 1 a) (* a a)))))) (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ 3 a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* a a) (+ 3 a)) (+ 3 a))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 712 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (218 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (+ (* (* a a) (+ 3 a)) (+ 3 a)) (- 81 (pow a 4))) (* (* b b) (+ 1 (pow a 3)))) (* (- 1 (pow a 4)) (* (* (* a a) (- 9 (* a a))) (* (+ 9 (* a a)) (+ (- 1 a) (* a a)))))) (* (* 4 (* (+ -1 a) (+ 9 (* a (+ 3 a))))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ 3 a)) (+ 3 a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (* (+ (* (* a a) (+ 3 a)) (+ 3 a)) (- 81 (pow a 4))) (* (* b b) (+ 1 (pow a 3)))) (* (- 1 (pow a 4)) (* (* (* a a) (- 9 (* a a))) (* (+ 9 (* a a)) (+ (- 1 a) (* a a)))))) (* (* 4 (* (+ -1 a) (+ 9 (* a (+ 3 a))))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ 3 a)) (+ 3 a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 713 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (+ a 3) (* (* a a) (+ a 3))) (* (* b b) (+ 1 (pow a 3)))) (- 81 (pow a 4))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (* a a) (- 9 (* a a))) (- 1 (pow a 4))))) (* (* (* 4 (* (+ a -1) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (+ a 3) (* (* a a) (+ a 3)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (+ a 3) (* (* a a) (+ a 3))) (* (* b b) (+ 1 (pow a 3)))) (- 81 (pow a 4))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (* a a) (- 9 (* a a))) (- 1 (pow a 4))))) (* (* (* 4 (* (+ a -1) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (+ a 3) (* (* a a) (+ a 3)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 714 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ 3 a) (* (* (+ (* a a) 1) (+ 1 (pow a 3))) (* (* b b) (- 81 (pow a 4))))) (* (- 1 (pow a 4)) (* (* (* a a) (- 9 (* a a))) (* (+ 9 (* a a)) (+ (- 1 a) (* a a)))))) (* (* (* 4 (+ (* a (+ 3 a)) 9)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))) (* (* (+ 1 a) (- 27 (pow a 3))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (+ 3 a) (* (* a a) (+ 3 a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ 3 a) (* (* (+ (* a a) 1) (+ 1 (pow a 3))) (* (* b b) (- 81 (pow a 4))))) (* (- 1 (pow a 4)) (* (* (* a a) (- 9 (* a a))) (* (+ 9 (* a a)) (+ (- 1 a) (* a a)))))) (* (* (* 4 (+ (* a (+ 3 a)) 9)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))) (* (* (+ 1 a) (- 27 (pow a 3))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (+ 3 a) (* (* a a) (+ 3 a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 715 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ 3 a) (* (* (+ (* a a) 1) (- 81 (pow a 4))) (* (* b b) (+ 1 (pow a 3))))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (* a a) (- 9 (* a a))) (- 1 (pow a 4))))) (* (* (* 4 (+ 3 a)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b (* b 2)) (* a a)) (* (* b (* b 2)) (* a a)))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ 3 a)) (+ 3 a)))) (* (* (- 9 (* a a)) (+ 1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ 3 a) (* (* (+ (* a a) 1) (- 81 (pow a 4))) (* (* b b) (+ 1 (pow a 3))))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (* a a) (- 9 (* a a))) (- 1 (pow a 4))))) (* (* (* 4 (+ 3 a)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b (* b 2)) (* a a)) (* (* b (* b 2)) (* a a)))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ 3 a)) (+ 3 a)))) (* (* (- 9 (* a a)) (+ 1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 716 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* b b) (+ 1 (pow a 3))) (* (- 81 (pow a 4)) (+ (+ a 3) (* (* a a) (+ a 3))))) (* (+ 9 (* a a)) (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (+ (- 1 a) (* a a)))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (+ a 3) (* (* a a) (+ a 3))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (- 3 a) (+ 1 (pow a 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* b b) (+ 1 (pow a 3))) (* (- 81 (pow a 4)) (+ (+ a 3) (* (* a a) (+ a 3))))) (* (+ 9 (* a a)) (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (+ (- 1 a) (* a a)))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (+ a 3) (* (* a a) (+ a 3))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (- 3 a) (+ 1 (pow a 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 717 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) (* (* (- 3 a) (+ (* a a) -1)) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ a 3)) (+ a 3))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (+ (* (* (* b b) (+ 1 (pow a 3))) (* (- 81 (pow a 4)) (+ (* (* a a) (+ a 3)) (+ a 3)))) (* (+ 9 (* a a)) (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (+ (- 1 a) (* a a)))))) (* (* (* 4 (- a 1)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) (* (* (- 3 a) (+ (* a a) -1)) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ a 3)) (+ a 3))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (+ (* (* (* b b) (+ 1 (pow a 3))) (* (- 81 (pow a 4)) (+ (* (* a a) (+ a 3)) (+ a 3)))) (* (+ 9 (* a a)) (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (+ (- 1 a) (* a a)))))) (* (* (* 4 (- a 1)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 718 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (+ a 3) (* (* a a) (+ a 3))) (- 81 (pow a 4))) (* (* b b) (+ 1 (pow a 3)))) (* (+ 9 (* a a)) (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (+ (- 1 a) (* a a)))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (+ a 3) (* (* a a) (+ a 3))))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* (- 27 (pow a 3)) (+ 1 (pow a 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (+ a 3) (* (* a a) (+ a 3))) (- 81 (pow a 4))) (* (* b b) (+ 1 (pow a 3)))) (* (+ 9 (* a a)) (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (+ (- 1 a) (* a a)))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (+ a 3) (* (* a a) (+ a 3))))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* (- 27 (pow a 3)) (+ 1 (pow a 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 719 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (* a a) (+ 3 a)) (+ 3 a)) (- 81 (pow a 4))) (* (* b b) (+ 1 (pow a 3)))) (* (+ 9 (* a a)) (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (+ (- 1 a) (* a a)))))) (* (* (* 4 (+ 3 a)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* a a) (+ 3 a)) (+ 3 a))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (* a a) (+ 3 a)) (+ 3 a)) (- 81 (pow a 4))) (* (* b b) (+ 1 (pow a 3)))) (* (+ 9 (* a a)) (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (+ (- 1 a) (* a a)))))) (* (* (* 4 (+ 3 a)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* a a) (+ 3 a)) (+ 3 a))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 720 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* b b) (+ 1 (pow a 3))) (* (- 81 (pow a 4)) (+ (* (* a a) (+ a 3)) (+ a 3)))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (- 1 (pow a 4)) (- 9 (* a a))) (* a a)))) (* (* (* 4 (- a 1)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))) (* (- 27 (pow a 3)) (+ (* a a) -1)))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ a 3)) (+ a 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* b b) (+ 1 (pow a 3))) (* (- 81 (pow a 4)) (+ (* (* a a) (+ a 3)) (+ a 3)))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (- 1 (pow a 4)) (- 9 (* a a))) (* a a)))) (* (* (* 4 (- a 1)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))) (* (- 27 (pow a 3)) (+ (* a a) -1)))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ a 3)) (+ a 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 721 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ 3 a))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (181 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ 3 a)) (+ 3 a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (- 9 (* a a)) (+ (* a a) -1)))) (* (+ (* (* (* (+ (* a a) 1) (- 81 (pow a 4))) (* (* b b) (+ 1 (pow a 3)))) (+ 3 a)) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (- 1 (pow a 4)) (- 9 (* a a))) (* a a)))) (* (* (* 4 (+ 3 a)) (+ a -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ 3 a)) (+ 3 a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (- 9 (* a a)) (+ (* a a) -1)))) (* (+ (* (* (* (+ (* a a) 1) (- 81 (pow a 4))) (* (* b b) (+ 1 (pow a 3)))) (+ 3 a)) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (- 1 (pow a 4)) (- 9 (* a a))) (* a a)))) (* (* (* 4 (+ 3 a)) (+ a -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 722 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ (* a a) 1) (- 81 (pow a 4))) (* (* b b) (+ 1 (pow a 3)))) (+ a 3)) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (- 1 (pow a 4)) (* a a)) (- 9 (* a a))))) (* (* (+ 9 (* a (+ a 3))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 1 a) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (+ a 3) (* (* a a) (+ a 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ (* a a) 1) (- 81 (pow a 4))) (* (* b b) (+ 1 (pow a 3)))) (+ a 3)) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (- 1 (pow a 4)) (* a a)) (- 9 (* a a))))) (* (* (+ 9 (* a (+ a 3))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 1 a) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (+ a 3) (* (* a a) (+ a 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 723 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ 3 a)) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* b b) (+ 1 (pow a 3))) (* (- 81 (pow a 4)) (+ (* (* a a) (+ a 3)) (+ a 3)))) (* (+ 9 (* a a)) (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (+ (- 1 a) (* a a)))))) (* (* (+ a 3) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ a 3)) (+ a 3))) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))))) (* (- 9 (* a a)) (+ 1 a)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* b b) (+ 1 (pow a 3))) (* (- 81 (pow a 4)) (+ (* (* a a) (+ a 3)) (+ a 3)))) (* (+ 9 (* a a)) (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (+ (- 1 a) (* a a)))))) (* (* (+ a 3) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ a 3)) (+ a 3))) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))))) (* (- 9 (* a a)) (+ 1 a)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 724 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 (pow a 3)) (- 3 a)) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ a 3)) (+ a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* b b) (+ 1 (pow a 3))) (* (- 81 (pow a 4)) (+ (* (* a a) (+ a 3)) (+ a 3)))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (- 1 (pow a 4)) (* a a)) (- 9 (* a a))))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 1 (pow a 3)) (- 3 a)) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ a 3)) (+ a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* b b) (+ 1 (pow a 3))) (* (- 81 (pow a 4)) (+ (* (* a a) (+ a 3)) (+ a 3)))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (- 1 (pow a 4)) (* a a)) (- 9 (* a a))))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 725 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- a 1)) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (+ a 3) (* (* a a) (+ a 3)))) (* (* (* (- 3 a) (+ (* a a) -1)) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (+ a 3) (* (* (+ (* a a) 1) (+ 1 (pow a 3))) (* (* b b) (- 81 (pow a 4))))) (* (+ 9 (* a a)) (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (+ (- 1 a) (* a a)))))) (* (+ (* a 4) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (+ a 3) (* (* a a) (+ a 3)))) (* (* (* (- 3 a) (+ (* a a) -1)) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (+ a 3) (* (* (+ (* a a) 1) (+ 1 (pow a 3))) (* (* b b) (- 81 (pow a 4))))) (* (+ 9 (* a a)) (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (+ (- 1 a) (* a a)))))) (* (+ (* a 4) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (- a 1))))) 1)) * * * * [misc]progress: [ 726 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (+ (+ 3 a) (* (* a a) (+ 3 a))) (* (* b b) (+ 1 (pow a 3)))) (- 81 (pow a 4))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (- 9 (* a a))) (* (- 1 (pow a 4)) (* a a)))) 4) (* (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (+ 3 a) (* (* a a) (+ 3 a)))) (* (- 3 a) (+ 1 a))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (+ (+ 3 a) (* (* a a) (+ 3 a))) (* (* b b) (+ 1 (pow a 3)))) (- 81 (pow a 4))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (- 9 (* a a))) (* (- 1 (pow a 4)) (* a a)))) 4) (* (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (+ 3 a) (* (* a a) (+ 3 a)))) (* (- 3 a) (+ 1 a))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 727 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (- 3 a) (+ 1 a))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (+ 3 a) (* (* a a) (+ 3 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (* (+ (+ 3 a) (* (* a a) (+ 3 a))) (- 81 (pow a 4))) (* (* b b) (+ 1 (pow a 3)))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a))))) (* (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (- 3 a) (+ 1 a))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (+ 3 a) (* (* a a) (+ 3 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (* (+ (+ 3 a) (* (* a a) (+ 3 a))) (- 81 (pow a 4))) (* (* b b) (+ 1 (pow a 3)))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a))))) (* (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 728 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (243 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* (* a a) (+ 3 a)) (+ 3 a)) (- 729 (* (pow a 3) (pow a 3)))) (* (- (* a a) 1) (* b b))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (+ -1 a)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ (* a (+ 3 a)) 9))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* a a) 1) (* (+ 3 a) (+ -1 a))) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- 27 (pow a 3)) (+ 1 (pow a 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* (* a a) (+ 3 a)) (+ 3 a)) (- 729 (* (pow a 3) (pow a 3)))) (* (- (* a a) 1) (* b b))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (+ -1 a)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ (* a (+ 3 a)) 9))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* a a) 1) (* (+ 3 a) (+ -1 a))) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- 27 (pow a 3)) (+ 1 (pow a 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 729 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ (* a a) -1) (* b b)) (- 729 (* (pow a 3) (pow a 3)))) (+ (* (* a a) (+ 3 a)) (+ 3 a))) (* (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (+ -1 a))) (+ (+ 81 (pow a 4)) (* (* a a) 9))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 3 a))) (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ (* a a) 1) (* (+ 3 a) (+ -1 a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ (* a a) -1) (* b b)) (- 729 (* (pow a 3) (pow a 3)))) (+ (* (* a a) (+ 3 a)) (+ 3 a))) (* (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (+ -1 a))) (+ (+ 81 (pow a 4)) (* (* a a) 9))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 3 a))) (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ (* a a) 1) (* (+ 3 a) (+ -1 a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 730 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (232 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ (+ a 3) (* (* a a) (+ a 3))) (* (+ (* a a) -1) (* b b)))) (* (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (+ -1 a))) (+ (+ 81 (pow a 4)) (* (* a a) 9))))) (* (* 4 (* (+ -1 a) (+ 9 (* a (+ a 3))))) (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (* (+ (* a a) 1) (* (+ a 3) (+ -1 a))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (- 27 (pow a 3)) (+ (* a a) -1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ (+ a 3) (* (* a a) (+ a 3))) (* (+ (* a a) -1) (* b b)))) (* (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (+ -1 a))) (+ (+ 81 (pow a 4)) (* (* a a) 9))))) (* (* 4 (* (+ -1 a) (+ 9 (* a (+ a 3))))) (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (* (+ (* a a) 1) (* (+ a 3) (+ -1 a))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (- 27 (pow a 3)) (+ (* a a) -1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 731 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (216 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* (* (+ (* a a) -1) (* b b)) (- 729 (* (pow a 3) (pow a 3)))) (+ (* (* a a) (+ a 3)) (+ a 3))) (* (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ 9 (* a a)))) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a))))))) (* (* 4 (* (- a 1) (+ a 3))) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (* a a) 1) (* (- a 1) (+ a 3))))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* (* (+ (* a a) -1) (* b b)) (- 729 (* (pow a 3) (pow a 3)))) (+ (* (* a a) (+ a 3)) (+ a 3))) (* (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ 9 (* a a)))) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a))))))) (* (* 4 (* (- a 1) (+ a 3))) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (* a a) 1) (* (- a 1) (+ a 3))))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 732 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (230 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ (* a a) -1) (* b b)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ a 3) (* (* a a) (+ a 3)))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (- a 1)))))) (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* (* (* b 2) (* b (* a a))) (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ (* a a) 1) (* (+ a 3) (- a 1)))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (- 27 (pow a 3)) (+ 1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ (* a a) -1) (* b b)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ a 3) (* (* a a) (+ a 3)))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (- a 1)))))) (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* (* (* b 2) (* b (* a a))) (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ (* a a) 1) (* (+ a 3) (- a 1)))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (- 27 (pow a 3)) (+ 1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 733 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ (* a a) -1) (* b b)) (- 729 (* (pow a 3) (pow a 3)))) (+ (* (* a a) (+ a 3)) (+ a 3))) (* (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ 9 (* a a)))) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a))))))) (* (* 4 (+ a 3)) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* a a) 1) (* (+ a 3) (- a 1))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (- 9 (* a a)) (+ 1 a)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ (* a a) -1) (* b b)) (- 729 (* (pow a 3) (pow a 3)))) (+ (* (* a a) (+ a 3)) (+ a 3))) (* (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ 9 (* a a)))) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a))))))) (* (* 4 (+ a 3)) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* a a) 1) (* (+ a 3) (- a 1))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (- 9 (* a a)) (+ 1 a)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 734 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (225 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- 729 (pow (* a a) 3)) (* (+ (+ a 3) (* (* a a) (+ a 3))) (* (+ (* a a) -1) (* b b)))) (* (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ 9 (* a a)))) (* (* a a) (* (- 9 (* a a)) (- 1 (pow a 4))))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (+ (* (* 9 a) a) (+ (pow a 4) 81)) (* (+ (* a a) 1) (* (+ a 3) (- a 1)))) (* (- 3 a) (+ 1 (pow a 3)))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- 729 (pow (* a a) 3)) (* (+ (+ a 3) (* (* a a) (+ a 3))) (* (+ (* a a) -1) (* b b)))) (* (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ 9 (* a a)))) (* (* a a) (* (- 9 (* a a)) (- 1 (pow a 4))))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (+ (* (* 9 a) a) (+ (pow a 4) 81)) (* (+ (* a a) 1) (* (+ a 3) (- a 1)))) (* (- 3 a) (+ 1 (pow a 3)))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 735 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (208 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 81 (* (+ 9 (* a a)) (* a a))) (* (+ (* a a) 1) (* (+ a 3) (+ a -1))))) (* (* (- (* a a) 1) (- 3 a)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (- (* a a) 1) (* b b)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ a 3) (* (* a a) (+ a 3)))) (* (+ (* (+ a -1) 81) (* (* (+ a -1) (* a a)) (+ 9 (* a a)))) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a))))))) (* (* 4 (+ a -1)) (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 81 (* (+ 9 (* a a)) (* a a))) (* (+ (* a a) 1) (* (+ a 3) (+ a -1))))) (* (* (- (* a a) 1) (- 3 a)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (- (* a a) 1) (* b b)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ a 3) (* (* a a) (+ a 3)))) (* (+ (* (+ a -1) 81) (* (* (+ a -1) (* a a)) (+ 9 (* a a)))) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a))))))) (* (* 4 (+ a -1)) (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 736 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (235 enodes) * [exit]simplify: Simplified to (* (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (* (- 27 (pow a 3)) (+ (pow a 3) 1)) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ (* a a) 1) (* (+ a 3) (+ a -1)))))) (* (+ (* (* (* (+ (* a a) -1) (* b b)) (- 729 (* (pow a 3) (pow a 3)))) (+ (* (* a a) (+ a 3)) (+ a 3))) (* (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (+ a -1))) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (* 4 (* (+ (* a (+ a 3)) 9) (+ (- 1 a) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (* (- 27 (pow a 3)) (+ (pow a 3) 1)) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ (* a a) 1) (* (+ a 3) (+ a -1)))))) (* (+ (* (* (* (+ (* a a) -1) (* b b)) (- 729 (* (pow a 3) (pow a 3)))) (+ (* (* a a) (+ a 3)) (+ a 3))) (* (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (+ a -1))) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (* 4 (* (+ (* a (+ a 3)) 9) (+ (- 1 a) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 737 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (219 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (* a a) (+ 3 a)) (+ 3 a)) (- 729 (* (pow a 3) (pow a 3)))) (* (+ (* a a) -1) (* b b))) (* (* (* (- 1 (pow a 4)) (+ -1 a)) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (* a a) (- 9 (* a a))))) (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ 3 a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ (* a a) 1) (* (+ 3 a) (+ -1 a))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a))) (* (+ 1 (pow a 3)) (- 9 (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (* a a) (+ 3 a)) (+ 3 a)) (- 729 (* (pow a 3) (pow a 3)))) (* (+ (* a a) -1) (* b b))) (* (* (* (- 1 (pow a 4)) (+ -1 a)) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (* a a) (- 9 (* a a))))) (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ 3 a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ (* a a) 1) (* (+ 3 a) (+ -1 a))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a))) (* (+ 1 (pow a 3)) (- 9 (* a a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 738 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (* (+ (* a a) 1) (* (+ a 3) (+ -1 a))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (+ (* a a) -1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a)))))) (* (+ (* (* (* (+ (* a a) -1) (* b b)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ a 3) (* (* a a) (+ a 3)))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (+ -1 a))))) (* 4 (* (* (+ -1 a) (+ (* a (+ a 3)) 9)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (* (+ (* a a) 1) (* (+ a 3) (+ -1 a))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (+ (* a a) -1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a)))))) (* (+ (* (* (* (+ (* a a) -1) (* b b)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ a 3) (* (* a a) (+ a 3)))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (+ -1 a))))) (* 4 (* (* (+ -1 a) (+ (* a (+ a 3)) 9)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 739 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (208 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* a a) 1) (* (- a 1) (+ a 3))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))) (* (- 9 (* a a)) (+ (* a a) -1)))) (* (+ (* (* (* (+ (* a a) -1) (* b b)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ a 3) (* (* a a) (+ a 3)))) (* (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ 9 (* a a)))) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a)))))) (* (* (* 4 (* (- a 1) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* a a) 1) (* (- a 1) (+ a 3))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))) (* (- 9 (* a a)) (+ (* a a) -1)))) (* (+ (* (* (* (+ (* a a) -1) (* b b)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ a 3) (* (* a a) (+ a 3)))) (* (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ 9 (* a a)))) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a)))))) (* (* (* 4 (* (- a 1) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 740 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* a a) -1) (* b b)) (* (- 729 (* (pow a 3) (pow a 3))) (+ (+ a 3) (* (* a a) (+ a 3))))) (* (* (* (- 1 (pow a 4)) (- a 1)) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (* a a) (- 9 (* a a))))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ (* a a) 1) (* (+ a 3) (- a 1)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))) (* (* (+ 1 a) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* a a) -1) (* b b)) (* (- 729 (* (pow a 3) (pow a 3))) (+ (+ a 3) (* (* a a) (+ a 3))))) (* (* (* (- 1 (pow a 4)) (- a 1)) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (* a a) (- 9 (* a a))))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ (* a a) 1) (* (+ a 3) (- a 1)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))) (* (* (+ 1 a) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 741 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))) (* (* (+ (* a a) 1) (* (+ a 3) (- a 1))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (- 9 (* a a)) (+ 1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (* (+ (+ a 3) (* (* a a) (+ a 3))) (* (+ (* a a) -1) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (* (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ 9 (* a a)))) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a)))))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))) (* (* (+ (* a a) 1) (* (+ a 3) (- a 1))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (- 9 (* a a)) (+ 1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (* (+ (+ a 3) (* (* a a) (+ a 3))) (* (+ (* a a) -1) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (* (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ 9 (* a a)))) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a)))))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 742 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (217 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ 3 a) (* (* a a) (+ 3 a)))) (* (* (* (- 1 (pow a 4)) (+ -1 a)) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (* a a) (- 9 (* a a))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ (* a a) 1) (* (+ 3 a) (+ -1 a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a)))))) (* (* (- 3 a) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ 3 a) (* (* a a) (+ 3 a)))) (* (* (* (- 1 (pow a 4)) (+ -1 a)) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (* a a) (- 9 (* a a))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ (* a a) 1) (* (+ 3 a) (+ -1 a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a)))))) (* (* (- 3 a) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 743 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (* (+ (* a a) 1) (* (+ a 3) (- a 1))) (+ 81 (* (+ 9 (* a a)) (* a a))))) (* (* (+ (* a a) -1) (- 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ (* (* a a) (+ a 3)) (+ a 3)) (* (+ (* a a) -1) (* b b)))) (* (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* (- a 1) 81)) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a)))))) (* (* (* 4 (- a 1)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (* (+ (* a a) 1) (* (+ a 3) (- a 1))) (+ 81 (* (+ 9 (* a a)) (* a a))))) (* (* (+ (* a a) -1) (- 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ (* (* a a) (+ a 3)) (+ a 3)) (* (+ (* a a) -1) (* b b)))) (* (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* (- a 1) 81)) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a)))))) (* (* (* 4 (- a 1)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 744 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (+ a 3) (* (* a a) (+ a 3))) (- 729 (* (pow a 3) (pow a 3)))) (* (+ (* a a) -1) (* b b))) (* (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (+ a -1))) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* a a) 1) (* (+ a 3) (+ a -1))) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (+ a 3) (* (* a a) (+ a 3))) (- 729 (* (pow a 3) (pow a 3)))) (* (+ (* a a) -1) (* b b))) (* (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (+ a -1))) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* a a) 1) (* (+ a 3) (+ a -1))) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 745 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (* (* (* (+ (* a a) 1) (* (+ a 3) (- a 1))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (* (+ (* a a) -1) (* b b)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ a 3) (* (* a a) (+ a 3)))) (* (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (- a 1))) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (* (* (* (+ (* a a) 1) (* (+ a 3) (- a 1))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (* (+ (* a a) -1) (* b b)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ a 3) (* (* a a) (+ a 3)))) (* (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (- a 1))) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 746 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (203 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (* a a) (+ a 3)) (+ a 3)) (* (+ (* a a) -1) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (- a 1))))) (* (* (* 4 (- a 1)) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) b) (* a a)) 3)))) (* (* (* (- 27 (pow a 3)) (+ (* a a) -1)) (* (* (* (+ (* a a) 1) (* (+ a 3) (- a 1))) (+ (* (* a a) 9) (+ (pow a 4) 81))) (+ (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) b) (* a a)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (* a a) (+ a 3)) (+ a 3)) (* (+ (* a a) -1) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (- a 1))))) (* (* (* 4 (- a 1)) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) b) (* a a)) 3)))) (* (* (* (- 27 (pow a 3)) (+ (* a a) -1)) (* (* (* (+ (* a a) 1) (* (+ a 3) (- a 1))) (+ (* (* a a) 9) (+ (pow a 4) 81))) (+ (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) b) (* a a)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 747 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ 3 a))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (187 enodes) * [exit]simplify: Simplified to (+ (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (* a a) 1) (* (- a 1) (+ a 3)))) (* (* (* (- 9 (* a a)) (+ (* a a) -1)) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* 2 a))) 3)))) (* (+ (* (* (+ (* a a) -1) (* b b)) (* (- 729 (* (pow a 3) (pow a 3))) (+ (+ a 3) (* (* a a) (+ a 3))))) (* (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ 9 (* a a)))) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a)))))) (* (* 4 (* (- a 1) (+ a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* 2 a))) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (* a a) 1) (* (- a 1) (+ a 3)))) (* (* (* (- 9 (* a a)) (+ (* a a) -1)) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* 2 a))) 3)))) (* (+ (* (* (+ (* a a) -1) (* b b)) (* (- 729 (* (pow a 3) (pow a 3))) (+ (+ a 3) (* (* a a) (+ a 3))))) (* (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ 9 (* a a)))) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a)))))) (* (* 4 (* (- a 1) (+ a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* 2 a))) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 748 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (201 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (* a a) (+ a 3)) (+ a 3)) (* (+ (* a a) -1) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* a a) (- 9 (* a a))) (* (* (- 1 (pow a 4)) (- a 1)) (+ (* (* a a) 9) (+ (pow a 4) 81))))) (* (* (+ 9 (* a (+ a 3))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ 1 a) (- 27 (pow a 3))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a)))) (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (* (+ (* a a) 1) (* (+ a 3) (- a 1)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (* a a) (+ a 3)) (+ a 3)) (* (+ (* a a) -1) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* a a) (- 9 (* a a))) (* (* (- 1 (pow a 4)) (- a 1)) (+ (* (* a a) 9) (+ (pow a 4) 81))))) (* (* (+ 9 (* a (+ a 3))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ 1 a) (- 27 (pow a 3))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a)))) (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (* (+ (* a a) 1) (* (+ a 3) (- a 1)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 749 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ 3 a)) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 9 (* a a)) (+ 1 a)) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (* (* (+ (* a a) 1) (* (+ a 3) (- a 1))) (+ 81 (* (* a a) (+ 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ a 3) (* (* a a) (+ a 3)))) (* (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ 9 (* a a)))) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a)))))) (* (* (+ a 3) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 9 (* a a)) (+ 1 a)) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (* (* (+ (* a a) 1) (* (+ a 3) (- a 1))) (+ 81 (* (* a a) (+ 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 729 (* (pow a 3) (pow a 3)))) (+ (+ a 3) (* (* a a) (+ a 3)))) (* (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ 9 (* a a)))) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a)))))) (* (* (+ a 3) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 750 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ (* a a) -1) (* b b)) (- 729 (* (pow a 3) (pow a 3)))) (+ (* (* a a) (+ 3 a)) (+ 3 a))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (- a 1))))) (* (* (+ (* a a) (- 1 a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (- 3 a) (+ (pow a 3) 1)) (+ (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a))))) (* (* (* (+ (* a a) 1) (* (+ 3 a) (- a 1))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ (* a a) -1) (* b b)) (- 729 (* (pow a 3) (pow a 3)))) (+ (* (* a a) (+ 3 a)) (+ 3 a))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (- a 1))))) (* (* (+ (* a a) (- 1 a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (- 3 a) (+ (pow a 3) 1)) (+ (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a))))) (* (* (* (+ (* a a) 1) (* (+ 3 a) (- a 1))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 751 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- a 1)) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) 1) (* (+ a 3) (- a 1))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))) (* (* (- 3 a) (- (* a a) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (- (* a a) 1) (* b b)) (* (- 729 (* (pow a 3) (pow a 3))) (+ (* (* a a) (+ a 3)) (+ a 3)))) (* (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* 81 (- a 1))) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a)))))) (* (+ (* 4 a) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* a a) 1) (* (+ a 3) (- a 1))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))) (* (* (- 3 a) (- (* a a) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (- (* a a) 1) (* b b)) (* (- 729 (* (pow a 3) (pow a 3))) (+ (* (* a a) (+ a 3)) (+ a 3)))) (* (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* 81 (- a 1))) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a)))))) (* (+ (* 4 a) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (- a 1))))) 1)) * * * * [misc]progress: [ 752 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 3 a) (+ 1 a))) (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (* a a) 1) (* (+ a 3) (+ -1 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (* (+ (* a a) -1) (* b b)) (- 729 (* (pow a 3) (pow a 3)))) (+ (* (* a a) (+ a 3)) (+ a 3))) (* (+ (* (* (+ -1 a) (* a a)) (+ 9 (* a a))) (* 81 (+ -1 a))) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a)))))) 4))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 3 a) (+ 1 a))) (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (* a a) 1) (* (+ a 3) (+ -1 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (* (+ (* a a) -1) (* b b)) (- 729 (* (pow a 3) (pow a 3)))) (+ (* (* a a) (+ a 3)) (+ a 3))) (* (+ (* (* (+ -1 a) (* a a)) (+ 9 (* a a))) (* 81 (+ -1 a))) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a)))))) 4))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 753 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ (* a a) -1) (* b b)) (- 729 (* (pow a 3) (pow a 3)))) (+ (* (* a a) (+ a 3)) (+ a 3))) (* (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ 9 (* a a)))) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a)))))) (* (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))) (* (- 3 a) (+ 1 a))) (* (* (* (+ (* a a) 1) (* (+ a 3) (- a 1))) (+ 81 (* (+ 9 (* a a)) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ (* a a) -1) (* b b)) (- 729 (* (pow a 3) (pow a 3)))) (+ (* (* a a) (+ a 3)) (+ a 3))) (* (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ 9 (* a a)))) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a)))))) (* (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))) (* (- 3 a) (+ 1 a))) (* (* (* (+ (* a a) 1) (* (+ a 3) (- a 1))) (+ 81 (* (+ 9 (* a a)) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 754 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* a a) -1) (* (* (- 81 (pow a 4)) (* b b)) (+ (* (+ a 3) (* a a)) (+ a 3)))) (* (- 9 (* a a)) (* (* (- 1 (pow a 4)) (* a a)) (* (+ 9 (* a a)) (+ -1 a)))))) (* (* 4 (* (+ (* a (+ a 3)) 9) (+ (- 1 a) (* a a)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ a 3) (* a a)) (+ a 3))) (* (* (* (+ 9 (* a a)) (+ -1 a)) (* (- 27 (pow a 3)) (+ 1 (pow a 3)))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* a a) -1) (* (* (- 81 (pow a 4)) (* b b)) (+ (* (+ a 3) (* a a)) (+ a 3)))) (* (- 9 (* a a)) (* (* (- 1 (pow a 4)) (* a a)) (* (+ 9 (* a a)) (+ -1 a)))))) (* (* 4 (* (+ (* a (+ a 3)) 9) (+ (- 1 a) (* a a)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ a 3) (* a a)) (+ a 3))) (* (* (* (+ 9 (* a a)) (+ -1 a)) (* (- 27 (pow a 3)) (+ 1 (pow a 3)))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 755 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (211 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ 9 (* a a)) (+ -1 a)) (+ (* (+ 3 a) (* a a)) (+ 3 a))) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* (+ 3 a) (* a a)) (+ 3 a)) (+ (* a a) -1)) (* (- 81 (pow a 4)) (* b b))) (* (- 1 (pow a 4)) (* (* (* a a) (- 9 (* a a))) (* (+ 9 (* a a)) (+ -1 a)))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 3 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (* (+ 9 (* a a)) (+ -1 a)) (+ (* (+ 3 a) (* a a)) (+ 3 a))) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* (+ 3 a) (* a a)) (+ 3 a)) (+ (* a a) -1)) (* (- 81 (pow a 4)) (* b b))) (* (- 1 (pow a 4)) (* (* (* a a) (- 9 (* a a))) (* (+ 9 (* a a)) (+ -1 a)))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 3 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 756 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (216 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (+ a 3) (* a a)) (+ a 3)) (* (+ (* a a) -1) (* (- 81 (pow a 4)) (* b b)))) (* (* (* (- 1 (pow a 4)) (- a 1)) (+ 9 (* a a))) (* (* a a) (- 9 (* a a)))))) (* (* 4 (* (- a 1) (+ 9 (* a (+ a 3))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (* (* (+ 9 (* a a)) (- a 1)) (+ (* (+ a 3) (* a a)) (+ a 3))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (+ a 3) (* a a)) (+ a 3)) (* (+ (* a a) -1) (* (- 81 (pow a 4)) (* b b)))) (* (* (* (- 1 (pow a 4)) (- a 1)) (+ 9 (* a a))) (* (* a a) (- 9 (* a a)))))) (* (* 4 (* (- a 1) (+ 9 (* a (+ a 3))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (* (* (+ 9 (* a a)) (- a 1)) (+ (* (+ a 3) (* a a)) (+ a 3))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 757 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- 81 (* (* a a) (* a a))) (* (* (+ (* a a) -1) (* b b)) (+ (+ a 3) (* (+ a 3) (* a a))))) (* (* (- 1 (* (* a a) (* a a))) (* (+ 9 (* a a)) (- a 1))) (* (* a a) (- 9 (* a a)))))) (* (* 4 (* (- a 1) (+ a 3))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 9 (* a a)) (- a 1)) (+ (+ a 3) (* (+ a 3) (* a a))))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- 81 (* (* a a) (* a a))) (* (* (+ (* a a) -1) (* b b)) (+ (+ a 3) (* (+ a 3) (* a a))))) (* (* (- 1 (* (* a a) (* a a))) (* (+ 9 (* a a)) (- a 1))) (* (* a a) (- 9 (* a a)))))) (* (* 4 (* (- a 1) (+ a 3))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 9 (* a a)) (- a 1)) (+ (+ a 3) (* (+ a 3) (* a a))))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 758 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* a a) -1) (* b b)) (* (- 81 (pow a 4)) (+ (* (+ a 3) (* a a)) (+ a 3)))) (* (+ 9 (* a a)) (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (- a 1)))))) (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))))))) (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (- 27 (pow a 3)) (+ 1 a)) (* (* (+ 9 (* a a)) (- a 1)) (+ (* (+ a 3) (* a a)) (+ a 3))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* a a) -1) (* b b)) (* (- 81 (pow a 4)) (+ (* (+ a 3) (* a a)) (+ a 3)))) (* (+ 9 (* a a)) (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (- a 1)))))) (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))))))) (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (- 27 (pow a 3)) (+ 1 a)) (* (* (+ 9 (* a a)) (- a 1)) (+ (* (+ a 3) (* a a)) (+ a 3))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 759 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ (* a a) -1)) (* (- 81 (* (* a a) (* a a))) (* b b))) (* (* (* (+ 9 (* a a)) (- a 1)) (* (* a a) (- 9 (* a a)))) (- 1 (* (* a a) (* a a)))))) (* (* 4 (+ a 3)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 1 a) (- 9 (* a a)))) (* (* (* (+ 9 (* a a)) (- a 1)) (+ (+ a 3) (* (+ a 3) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ (* a a) -1)) (* (- 81 (* (* a a) (* a a))) (* b b))) (* (* (* (+ 9 (* a a)) (- a 1)) (* (* a a) (- 9 (* a a)))) (- 1 (* (* a a) (* a a)))))) (* (* 4 (+ a 3)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 1 a) (- 9 (* a a)))) (* (* (* (+ 9 (* a a)) (- a 1)) (+ (+ a 3) (* (+ a 3) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 760 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ (* a a) -1) (* b b)) (+ (+ a 3) (* (+ a 3) (* a a)))) (- 81 (pow a 4))) (* (* (* (- 1 (pow a 4)) (+ 9 (* a a))) (+ a -1)) (* (* a a) (- 9 (* a a)))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))))) (* (* (* (* (* (+ 9 (* a a)) (+ a -1)) (+ (+ a 3) (* (+ a 3) (* a a)))) (* (+ (pow a 3) 1) (- 3 a))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ (* a a) -1) (* b b)) (+ (+ a 3) (* (+ a 3) (* a a)))) (- 81 (pow a 4))) (* (* (* (- 1 (pow a 4)) (+ 9 (* a a))) (+ a -1)) (* (* a a) (- 9 (* a a)))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))))) (* (* (* (* (* (+ 9 (* a a)) (+ a -1)) (+ (+ a 3) (* (+ a 3) (* a a)))) (* (+ (pow a 3) 1) (- 3 a))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 761 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- 3 a) (- (* a a) 1)) (* (* (+ 9 (* a a)) (- a 1)) (+ (+ a 3) (* (+ a 3) (* a a))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (- (* a a) 1) (* b b)) (* (- 81 (* (* a a) (* a a))) (+ (+ a 3) (* (+ a 3) (* a a))))) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* (* a a) (* a a))) (* (+ 9 (* a a)) (- a 1)))))) (* (* 4 (- a 1)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- 3 a) (- (* a a) 1)) (* (* (+ 9 (* a a)) (- a 1)) (+ (+ a 3) (* (+ a 3) (* a a))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (- (* a a) 1) (* b b)) (* (- 81 (* (* a a) (* a a))) (+ (+ a 3) (* (+ a 3) (* a a))))) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* (* a a) (* a a))) (* (+ 9 (* a a)) (- a 1)))))) (* (* 4 (- a 1)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 762 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (219 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (* (- (* a a) 1) (* b b)) (+ (* (+ 3 a) (* a a)) (+ 3 a))) (- 81 (pow a 4))) (* (* (* (- 1 (pow a 4)) (+ 9 (* a a))) (- a 1)) (* (* a a) (- 9 (* a a))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ 3 a))))) (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))))) (* (* (* (* (+ 9 (* a a)) (- a 1)) (+ (* (+ 3 a) (* a a)) (+ 3 a))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (* (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))) (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (* (* (- (* a a) 1) (* b b)) (+ (* (+ 3 a) (* a a)) (+ 3 a))) (- 81 (pow a 4))) (* (* (* (- 1 (pow a 4)) (+ 9 (* a a))) (- a 1)) (* (* a a) (- 9 (* a a))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ 3 a))))) (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))))) (* (* (* (* (+ 9 (* a a)) (- a 1)) (+ (* (+ 3 a) (* a a)) (+ 3 a))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (* (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))) (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 763 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (203 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (* (+ 9 (* a a)) (- a 1)) (+ (+ 3 a) (* (+ 3 a) (* a a))))) (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (+ (* a a) -1) (* (* (- 81 (pow a 4)) (* b b)) (+ (+ 3 a) (* (+ 3 a) (* a a))))) (* (+ 9 (* a a)) (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (- a 1))))) (* (* (* 4 (* (+ 3 a) (+ (- 1 a) (* a a)))) (- (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (* (+ 9 (* a a)) (- a 1)) (+ (+ 3 a) (* (+ 3 a) (* a a))))) (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (+ (* a a) -1) (* (* (- 81 (pow a 4)) (* b b)) (+ (+ 3 a) (* (+ 3 a) (* a a))))) (* (+ 9 (* a a)) (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (- a 1))))) (* (* (* 4 (* (+ 3 a) (+ (- 1 a) (* a a)))) (- (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 764 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (208 enodes) * [exit]simplify: Simplified to (* (+ (* (* (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (* (- (* a a) 1) (- 27 (pow a 3))) (* (+ 9 (* a a)) (* (+ (* a a) 1) (* (+ a 3) (- a 1)))))) (* (+ (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (- (* a a) 1)) (* (- 81 (pow a 4)) (* b b))) (* (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (- a 1))) (+ 9 (* a a)))) (* (* (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (- a 1) (+ 9 (* a (+ a 3))))) 4))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (* (- (* a a) 1) (- 27 (pow a 3))) (* (+ 9 (* a a)) (* (+ (* a a) 1) (* (+ a 3) (- a 1)))))) (* (+ (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (- (* a a) 1)) (* (- 81 (pow a 4)) (* b b))) (* (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (- a 1))) (+ 9 (* a a)))) (* (* (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (- a 1) (+ 9 (* a (+ a 3))))) 4))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 765 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (* (+ 9 (* a a)) (- a 1)) (+ (* (+ a 3) (* a a)) (+ a 3)))) (* (* (- 9 (* a a)) (- (* a a) 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a))))))) (* (+ (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (- (* a a) 1)) (* (- 81 (* (* a a) (* a a))) (* b b))) (* (* (* (+ 9 (* a a)) (- a 1)) (* (* a a) (- 9 (* a a)))) (- 1 (* (* a a) (* a a))))) (* (* (* 4 (* (- a 1) (+ a 3))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (* (+ 9 (* a a)) (- a 1)) (+ (* (+ a 3) (* a a)) (+ a 3)))) (* (* (- 9 (* a a)) (- (* a a) 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a))))))) (* (+ (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (- (* a a) 1)) (* (- 81 (* (* a a) (* a a))) (* b b))) (* (* (* (+ 9 (* a a)) (- a 1)) (* (* a a) (- 9 (* a a)))) (- 1 (* (* a a) (* a a))))) (* (* (* 4 (* (- a 1) (+ a 3))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 766 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 81 (pow a 4)) (* (* (+ (* a a) -1) (* b b)) (+ (* (+ a 3) (* a a)) (+ a 3)))) (* (- 1 (pow a 4)) (* (* (* a a) (- 9 (* a a))) (* (+ 9 (* a a)) (- a 1))))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))) (* (* (+ 1 a) (- 27 (pow a 3))) (* (* (+ 9 (* a a)) (- a 1)) (+ (* (+ a 3) (* a a)) (+ a 3))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 81 (pow a 4)) (* (* (+ (* a a) -1) (* b b)) (+ (* (+ a 3) (* a a)) (+ a 3)))) (* (- 1 (pow a 4)) (* (* (* a a) (- 9 (* a a))) (* (+ 9 (* a a)) (- a 1))))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))) (* (* (+ 1 a) (- 27 (pow a 3))) (* (* (+ 9 (* a a)) (- a 1)) (+ (* (+ a 3) (* a a)) (+ a 3))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 767 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ (* a a) -1)) (* (- 81 (* (* a a) (* a a))) (* b b))) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* (* a a) (* a a))) (* (+ 9 (* a a)) (- a 1))))) (* (* (* 4 (+ a 3)) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)) (+ (* (+ a 3) (* a a)) (+ a 3))) (* (* (* (+ 9 (* a a)) (- a 1)) (* (- 9 (* a a)) (+ 1 a))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ (* a a) -1)) (* (- 81 (* (* a a) (* a a))) (* b b))) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* (* a a) (* a a))) (* (+ 9 (* a a)) (- a 1))))) (* (* (* 4 (+ a 3)) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)) (+ (* (+ a 3) (* a a)) (+ a 3))) (* (* (* (+ 9 (* a a)) (- a 1)) (* (- 9 (* a a)) (+ 1 a))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 768 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (201 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ 9 (* a a)) (+ a -1)) (+ (* (+ 3 a) (* a a)) (+ 3 a))) (* (- 3 a) (+ (pow a 3) 1))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3))) (* (+ (* (* (+ (* a a) -1) (* b b)) (* (- 81 (pow a 4)) (+ (* (+ 3 a) (* a a)) (+ 3 a)))) (* (* (- 1 (pow a 4)) (* (+ 9 (* a a)) (+ a -1))) (* (* a a) (- 9 (* a a))))) (* (* (* 4 (+ (- 1 a) (* a a))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (* (+ 9 (* a a)) (+ a -1)) (+ (* (+ 3 a) (* a a)) (+ 3 a))) (* (- 3 a) (+ (pow a 3) 1))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3))) (* (+ (* (* (+ (* a a) -1) (* b b)) (* (- 81 (pow a 4)) (+ (* (+ 3 a) (* a a)) (+ 3 a)))) (* (* (- 1 (pow a 4)) (* (+ 9 (* a a)) (+ a -1))) (* (* a a) (- 9 (* a a))))) (* (* (* 4 (+ (- 1 a) (* a a))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 769 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (- 81 (* (* a a) (* a a)))) (* (+ (* a a) -1) (* b b))) (* (* (* (+ 9 (* a a)) (- a 1)) (- 9 (* a a))) (* (- 1 (* (* a a) (* a a))) (* a a)))) (* (* (* 4 (- a 1)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* 2 a))) 3)))) (* (* (* (- 3 a) (+ (* a a) -1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))) (* (* (* (+ 9 (* a a)) (- a 1)) (+ (* (+ a 3) (* a a)) (+ a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* 2 a))) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (- 81 (* (* a a) (* a a)))) (* (+ (* a a) -1) (* b b))) (* (* (* (+ 9 (* a a)) (- a 1)) (- 9 (* a a))) (* (- 1 (* (* a a) (* a a))) (* a a)))) (* (* (* 4 (- a 1)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* 2 a))) 3)))) (* (* (* (- 3 a) (+ (* a a) -1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))) (* (* (* (+ 9 (* a a)) (- a 1)) (+ (* (+ a 3) (* a a)) (+ a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* 2 a))) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 770 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ (* a a) -1) (* b b)) (+ (* (+ a 3) (* a a)) (+ a 3))) (- 81 (pow a 4))) (* (- 1 (pow a 4)) (* (* (* a a) (- 9 (* a a))) (* (+ 9 (* a a)) (- a 1))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (- 27 (pow a 3)) (+ (pow a 3) 1)) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (* (* (* (+ 9 (* a a)) (- a 1)) (+ (* (+ a 3) (* a a)) (+ a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ (* a a) -1) (* b b)) (+ (* (+ a 3) (* a a)) (+ a 3))) (- 81 (pow a 4))) (* (- 1 (pow a 4)) (* (* (* a a) (- 9 (* a a))) (* (+ 9 (* a a)) (- a 1))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (- 27 (pow a 3)) (+ (pow a 3) 1)) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (* (* (* (+ 9 (* a a)) (- a 1)) (+ (* (+ a 3) (* a a)) (+ a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 771 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (182 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 9 (* a a)) (- a 1)) (+ (* (+ 3 a) (* a a)) (+ 3 a))) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (- (* a a) 1) (* b b)) (* (- 81 (pow a 4)) (+ (* (+ 3 a) (* a a)) (+ 3 a)))) (* (* (* (- 1 (pow a 4)) (+ 9 (* a a))) (- a 1)) (* (* a a) (- 9 (* a a))))) (* (* (* 4 (+ 3 a)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 9 (* a a)) (- a 1)) (+ (* (+ 3 a) (* a a)) (+ 3 a))) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (- (* a a) 1) (* b b)) (* (- 81 (pow a 4)) (+ (* (+ 3 a) (* a a)) (+ 3 a)))) (* (* (* (- 1 (pow a 4)) (+ 9 (* a a))) (- a 1)) (* (* a a) (- 9 (* a a))))) (* (* (* 4 (+ 3 a)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 772 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (187 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) -1) (- 27 (pow a 3))) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (* (* (- a 1) (+ 9 (* a a))) (+ (+ a 3) (* (+ a 3) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)))) (* (+ (* (* (* (+ (* a a) -1) (* b b)) (+ (+ a 3) (* (+ a 3) (* a a)))) (- 81 (pow a 4))) (* (- 9 (* a a)) (* (* (- 1 (pow a 4)) (* a a)) (* (- a 1) (+ 9 (* a a)))))) (* (* (* 4 (- a 1)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* a a) -1) (- 27 (pow a 3))) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (* (* (- a 1) (+ 9 (* a a))) (+ (+ a 3) (* (+ a 3) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)))) (* (+ (* (* (* (+ (* a a) -1) (* b b)) (+ (+ a 3) (* (+ a 3) (* a a)))) (- 81 (pow a 4))) (* (- 9 (* a a)) (* (* (- 1 (pow a 4)) (* a a)) (* (- a 1) (+ 9 (* a a)))))) (* (* (* 4 (- a 1)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 773 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ 3 a))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ 9 (* a a)) (+ a -1)) (+ (* (+ a 3) (* a a)) (+ a 3))) (* (- 9 (* a a)) (+ (* a a) -1))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (+ (* a a) -1) (* b b)) (* (- 81 (* (* a a) (* a a))) (+ (* (+ a 3) (* a a)) (+ a 3)))) (* (* (- 1 (* (* a a) (* a a))) (* (+ 9 (* a a)) (+ a -1))) (* (* a a) (- 9 (* a a))))) (* (* (* (+ a -1) (+ a 3)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (* (+ 9 (* a a)) (+ a -1)) (+ (* (+ a 3) (* a a)) (+ a 3))) (* (- 9 (* a a)) (+ (* a a) -1))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (+ (* a a) -1) (* b b)) (* (- 81 (* (* a a) (* a a))) (+ (* (+ a 3) (* a a)) (+ a 3)))) (* (* (- 1 (* (* a a) (* a a))) (* (+ 9 (* a a)) (+ a -1))) (* (* a a) (- 9 (* a a))))) (* (* (* (+ a -1) (+ a 3)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 774 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 9 (* a a)) (- a 1)) (+ (+ a 3) (* (+ a 3) (* a a)))) (* (* (* (+ 1 a) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (- (* a a) 1) (* b b)) (+ (+ a 3) (* (+ a 3) (* a a)))) (- 81 (pow a 4))) (* (+ 9 (* a a)) (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (- a 1))))) (* (+ (* (* a (+ a 3)) 4) 36) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 9 (* a a)) (- a 1)) (+ (+ a 3) (* (+ a 3) (* a a)))) (* (* (* (+ 1 a) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (- (* a a) 1) (* b b)) (+ (+ a 3) (* (+ a 3) (* a a)))) (- 81 (pow a 4))) (* (+ 9 (* a a)) (* (* (* a a) (- 9 (* a a))) (* (- 1 (pow a 4)) (- a 1))))) (* (+ (* (* a (+ a 3)) 4) 36) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 775 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ 3 a)) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))) (* (* (+ 9 (* a a)) (- a 1)) (+ (* (+ a 3) (* a a)) (+ a 3))))) (* (+ 1 a) (- 9 (* a a)))) (* (+ (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (- 81 (* (* a a) (* a a)))) (* (+ (* a a) -1) (* b b))) (* (* (- 1 (* (* a a) (* a a))) (* (+ 9 (* a a)) (- a 1))) (* (* a a) (- 9 (* a a))))) (* (* 4 (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))) (* (* (+ 9 (* a a)) (- a 1)) (+ (* (+ a 3) (* a a)) (+ a 3))))) (* (+ 1 a) (- 9 (* a a)))) (* (+ (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (- 81 (* (* a a) (* a a)))) (* (+ (* a a) -1) (* b b))) (* (* (- 1 (* (* a a) (* a a))) (* (+ 9 (* a a)) (- a 1))) (* (* a a) (- 9 (* a a))))) (* (* 4 (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 776 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (* (* (+ 9 (* a a)) (- a 1)) (+ (+ 3 a) (* (+ 3 a) (* a a))))) (* (* (- 3 a) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (- (* a a) 1) (* b b)) (+ (+ 3 a) (* (+ 3 a) (* a a)))) (- 81 (pow a 4))) (* (* (* (- 1 (pow a 4)) (+ 9 (* a a))) (- a 1)) (* (* a a) (- 9 (* a a))))) (* (* (+ (* a a) (- 1 a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (* (* (+ 9 (* a a)) (- a 1)) (+ (+ 3 a) (* (+ 3 a) (* a a))))) (* (* (- 3 a) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (- (* a a) 1) (* b b)) (+ (+ 3 a) (* (+ 3 a) (* a a)))) (- 81 (pow a 4))) (* (* (* (- 1 (pow a 4)) (+ 9 (* a a))) (- a 1)) (* (* a a) (- 9 (* a a))))) (* (* (+ (* a a) (- 1 a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 777 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- a 1)) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (162 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 9 (* a a)) (- a 1)) (+ (+ a 3) (* (+ a 3) (* a a)))) (* (* (* (- 3 a) (+ (* a a) -1)) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (+ (+ a 3) (* (+ a 3) (* a a))) (- 81 (* (* a a) (* a a)))) (* (+ (* a a) -1) (* b b))) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* (* a a) (* a a))) (* (+ 9 (* a a)) (- a 1))))) (* (+ (* 4 a) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 9 (* a a)) (- a 1)) (+ (+ a 3) (* (+ a 3) (* a a)))) (* (* (* (- 3 a) (+ (* a a) -1)) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (+ (+ a 3) (* (+ a 3) (* a a))) (- 81 (* (* a a) (* a a)))) (* (+ (* a a) -1) (* b b))) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* (* a a) (* a a))) (* (+ 9 (* a a)) (- a 1))))) (* (+ (* 4 a) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (- a 1))))) 1)) * * * * [misc]progress: [ 778 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (* (* (+ 9 (* a a)) (- a 1)) (+ (* (+ a 3) (* a a)) (+ a 3))) (* (+ 1 a) (- 3 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (+ (* (* (* (+ (* a a) -1) (* b b)) (+ (* (+ a 3) (* a a)) (+ a 3))) (- 81 (* (* a a) (* a a)))) (* (* (- 1 (* (* a a) (* a a))) (* (+ 9 (* a a)) (- a 1))) (* (* a a) (- 9 (* a a))))) 4) (* (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 a)) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (* (* (+ 9 (* a a)) (- a 1)) (+ (* (+ a 3) (* a a)) (+ a 3))) (* (+ 1 a) (- 3 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (+ (* (* (* (+ (* a a) -1) (* b b)) (+ (* (+ a 3) (* a a)) (+ a 3))) (- 81 (* (* a a) (* a a)))) (* (* (- 1 (* (* a a) (* a a))) (* (+ 9 (* a a)) (- a 1))) (* (* a a) (- 9 (* a a))))) 4) (* (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 a)) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 779 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (181 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (+ a 3) (* (+ a 3) (* a a)))) (* (* (* (+ 9 (* a a)) (- a 1)) (* (+ 1 a) (- 3 a))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))))) (* (+ (* (* (+ (* a a) -1) (* b b)) (* (- 81 (* (* a a) (* a a))) (+ (+ a 3) (* (+ a 3) (* a a))))) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* (* a a) (* a a))) (* (+ 9 (* a a)) (- a 1))))) (* (* (- (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (+ a 3) (* (+ a 3) (* a a)))) (* (* (* (+ 9 (* a a)) (- a 1)) (* (+ 1 a) (- 3 a))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))))) (* (+ (* (* (+ (* a a) -1) (* b b)) (* (- 81 (* (* a a) (* a a))) (+ (+ a 3) (* (+ a 3) (* a a))))) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* (* a a) (* a a))) (* (+ 9 (* a a)) (- a 1))))) (* (* (- (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 780 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ a 3) (* a a)) (+ a 3))) (* (* (+ (* 9 (* a a)) (+ (pow a 4) 81)) (* (+ (pow a 3) 1) (- 27 (pow a 3)))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ a 3) (* (* (+ (* a a) 1) (* (+ 1 a) (* b b))) (- 729 (* (pow a 3) (pow a 3))))) (* (* (+ (* 9 (* a a)) (+ (pow a 4) 81)) (- 9 (* a a))) (* (- 1 (pow a 4)) (* a a))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ (* a (+ a 3)) 9))) (+ (* (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (* b 2) (* b (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ a 3) (* a a)) (+ a 3))) (* (* (+ (* 9 (* a a)) (+ (pow a 4) 81)) (* (+ (pow a 3) 1) (- 27 (pow a 3)))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ a 3) (* (* (+ (* a a) 1) (* (+ 1 a) (* b b))) (- 729 (* (pow a 3) (pow a 3))))) (* (* (+ (* 9 (* a a)) (+ (pow a 4) 81)) (- 9 (* a a))) (* (- 1 (pow a 4)) (* a a))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ (* a (+ a 3)) 9))) (+ (* (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (* b 2) (* b (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 781 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ (+ 81 (pow a 4)) (* 9 (* a a))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 1 (pow a 3)) (- 9 (* a a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ a 3) (* (* (+ (* a a) 1) (* (+ 1 a) (* b b))) (- 729 (* (pow a 3) (pow a 3))))) (* (* (* (* a a) (- 9 (* a a))) (- 1 (pow a 4))) (+ 81 (* (+ (* a a) 9) (* a a)))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ (+ 81 (pow a 4)) (* 9 (* a a))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 1 (pow a 3)) (- 9 (* a a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ a 3) (* (* (+ (* a a) 1) (* (+ 1 a) (* b b))) (- 729 (* (pow a 3) (pow a 3))))) (* (* (* (* a a) (- 9 (* a a))) (- 1 (pow a 4))) (+ 81 (* (+ (* a a) 9) (* a a)))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 782 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (233 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ (+ 81 (pow a 4)) (* (* a 9) a))) (* (- 27 (pow a 3)) (+ (* a a) -1))) (+ (pow (* (* b 2) (* b (* a a))) 3) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3)) (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ (+ a 3) (* (+ a 3) (* a a))) (* (+ 1 a) (* b b)))) (* (* (* (- 1 (pow a 4)) (- 9 (* a a))) (* a a)) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (* 4 (* (+ 9 (* a (+ a 3))) (+ -1 a))) (+ (* (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (* b 2) (* b (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ (+ 81 (pow a 4)) (* (* a 9) a))) (* (- 27 (pow a 3)) (+ (* a a) -1))) (+ (pow (* (* b 2) (* b (* a a))) 3) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3)) (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ (+ a 3) (* (+ a 3) (* a a))) (* (+ 1 a) (* b b)))) (* (* (* (- 1 (pow a 4)) (- 9 (* a a))) (* a a)) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (* 4 (* (+ 9 (* a (+ a 3))) (+ -1 a))) (+ (* (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (* b 2) (* b (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 783 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (217 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (- 729 (* (pow a 3) (pow a 3)))) (* (+ 1 a) (* b b))) (* (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (* 4 (* (- a 1) (+ a 3))) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (- 9 (* a a)) (+ (* a a) -1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))) (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ 81 (* (* a a) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (- 729 (* (pow a 3) (pow a 3)))) (* (+ 1 a) (* b b))) (* (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (* 4 (* (- a 1) (+ a 3))) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (- 9 (* a a)) (+ (* a a) -1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))) (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ 81 (* (* a a) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 784 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (223 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 27 (pow a 3)) (+ 1 a))) (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ (+ 81 (pow a 4)) (* (* a 9) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ a 3) (* (* (+ (* a a) 1) (* (+ 1 a) (* b b))) (- 729 (* (pow a 3) (pow a 3))))) (* (* (* (* a a) (- 9 (* a a))) (- 1 (pow a 4))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (* (* b 2) (* b (* a a))) (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 27 (pow a 3)) (+ 1 a))) (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ (+ 81 (pow a 4)) (* (* a 9) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ a 3) (* (* (+ (* a a) 1) (* (+ 1 a) (* b b))) (- 729 (* (pow a 3) (pow a 3))))) (* (* (* (* a a) (- 9 (* a a))) (- 1 (pow a 4))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (* (* b 2) (* b (* a a))) (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 785 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ 81 (* (+ (* a a) 9) (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- 9 (* a a)) (+ 1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (- 729 (* (pow a 3) (pow a 3)))) (* (+ 1 a) (* b b))) (* (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a)))) (+ 81 (* (+ (* a a) 9) (* a a)))))) (* (* 4 (+ a 3)) (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ 81 (* (+ (* a a) 9) (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- 9 (* a a)) (+ 1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (- 729 (* (pow a 3) (pow a 3)))) (* (+ 1 a) (* b b))) (* (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a)))) (+ 81 (* (+ (* a a) 9) (* a a)))))) (* (* 4 (+ a 3)) (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 786 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (219 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (- 3 a) (+ 1 (pow a 3))) (* (+ (+ 3 a) (* (+ 3 a) (* a a))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ (* a a) 1) (* (+ 1 a) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (+ 3 a)) (* (* (* (- 1 (pow a 4)) (* a a)) (- 9 (* a a))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (- 3 a) (+ 1 (pow a 3))) (* (+ (+ 3 a) (* (+ 3 a) (* a a))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ (* a a) 1) (* (+ 1 a) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (+ 3 a)) (* (* (* (- 1 (pow a 4)) (* a a)) (- 9 (* a a))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 787 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (- 729 (* (pow a 3) (pow a 3)))) (* (+ 1 a) (* b b))) (* (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (* 4 (- a 1)) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 3 a) (- (* a a) 1))) (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ 81 (* (* a a) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (- 729 (* (pow a 3) (pow a 3)))) (* (+ 1 a) (* b b))) (* (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (* 4 (- a 1)) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 3 a) (- (* a a) 1))) (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ 81 (* (* a a) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 788 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (230 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ (* (+ a 3) (* a a)) (+ a 3)) (* (+ 1 a) (* b b)))) (* (* (+ (* 9 (* a a)) (+ (pow a 4) 81)) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a))))) (* (* 4 (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3)))))) (* (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ (* 9 (* a a)) (+ (pow a 4) 81))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ (* (+ a 3) (* a a)) (+ a 3)) (* (+ 1 a) (* b b)))) (* (* (+ (* 9 (* a a)) (+ (pow a 4) 81)) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a))))) (* (* 4 (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3)))))) (* (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ (* 9 (* a a)) (+ (pow a 4) 81))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 789 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (+ 3 a) (* a a)) (+ 3 a)) (- 729 (* (pow a 3) (pow a 3)))) (* (+ 1 a) (* b b))) (* (* (* (* a a) (- 9 (* a a))) (- 1 (pow a 4))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* 4 (* (+ 3 a) (+ (* a a) (- 1 a)))) (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))) (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (* (+ (pow a 3) 1) (- 9 (* a a))) (* (+ (* (+ 3 a) (* a a)) (+ 3 a)) (+ (+ (pow a 4) 81) (* 9 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (+ 3 a) (* a a)) (+ 3 a)) (- 729 (* (pow a 3) (pow a 3)))) (* (+ 1 a) (* b b))) (* (* (* (* a a) (- 9 (* a a))) (- 1 (pow a 4))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* 4 (* (+ 3 a) (+ (* a a) (- 1 a)))) (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))) (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (* (+ (pow a 3) 1) (- 9 (* a a))) (* (+ (* (+ 3 a) (* a a)) (+ 3 a)) (+ (+ (pow a 4) 81) (* 9 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 790 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (225 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ (* (* a 9) a) (+ (pow a 4) 81))) (* (+ (* a a) -1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))) (* (+ (* (+ a 3) (* (* (+ (* a a) 1) (* (+ 1 a) (* b b))) (- 729 (* (pow a 3) (pow a 3))))) (* (* (* a a) (* (- 9 (* a a)) (- 1 (pow a 4)))) (+ 81 (* (+ (* a a) 9) (* a a))))) (* (* 4 (* (+ (* a (+ a 3)) 9) (- a 1))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ (* (* a 9) a) (+ (pow a 4) 81))) (* (+ (* a a) -1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))) (* (+ (* (+ a 3) (* (* (+ (* a a) 1) (* (+ 1 a) (* b b))) (- 729 (* (pow a 3) (pow a 3))))) (* (* (* a a) (* (- 9 (* a a)) (- 1 (pow a 4)))) (+ 81 (* (+ (* a a) 9) (* a a))))) (* (* 4 (* (+ (* a (+ a 3)) 9) (- a 1))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 791 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (+ a 3) (* a a)) (+ a 3))) (* (* (+ 81 (* (+ (* a a) 9) (* a a))) (* (- 9 (* a a)) (+ (* a a) -1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))))) (* (+ (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (* (+ 1 a) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (* (+ 81 (* (+ (* a a) 9) (* a a))) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a)))))) (* (* (* 4 (* (+ a 3) (- a 1))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (+ a 3) (* a a)) (+ a 3))) (* (* (+ 81 (* (+ (* a a) 9) (* a a))) (* (- 9 (* a a)) (+ (* a a) -1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))))) (* (+ (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (* (+ 1 a) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (* (+ 81 (* (+ (* a a) 9) (* a a))) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a)))))) (* (* (* 4 (* (+ a 3) (- a 1))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 792 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ (* 9 (* a a)) (+ (pow a 4) 81)))) (* (* (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))) (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ 1 a) (- 27 (pow a 3))))) (* (+ (* (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ 1 a)) (* (- 729 (* (pow a 3) (pow a 3))) (* b b))) (* (* (+ (* 9 (* a a)) (+ (pow a 4) 81)) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a))))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ (* 9 (* a a)) (+ (pow a 4) 81)))) (* (* (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))) (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ 1 a) (- 27 (pow a 3))))) (* (+ (* (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ 1 a)) (* (- 729 (* (pow a 3) (pow a 3))) (* b b))) (* (* (+ (* 9 (* a a)) (+ (pow a 4) 81)) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a))))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 793 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ 1 a)) (* (- 729 (* (pow a 3) (pow a 3))) (* b b))) (* (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* 4 (+ a 3)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (- 9 (* a a)) (+ 1 a)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ 1 a)) (* (- 729 (* (pow a 3) (pow a 3))) (* b b))) (* (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* 4 (+ a 3)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (- 9 (* a a)) (+ 1 a)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 794 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 1 a) (* b b)) (* (- 729 (* (pow a 3) (pow a 3))) (+ (* (+ a 3) (* a a)) (+ a 3)))) (* (* (* a a) (* (- 9 (* a a)) (- 1 (pow a 4)))) (+ 81 (* (+ (* a a) 9) (* a a))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (* (+ 1 (pow a 3)) (- 3 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 1 a) (* b b)) (* (- 729 (* (pow a 3) (pow a 3))) (+ (* (+ a 3) (* a a)) (+ a 3)))) (* (* (* a a) (* (- 9 (* a a)) (- 1 (pow a 4)))) (+ 81 (* (+ (* a a) 9) (* a a))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (* (+ 1 (pow a 3)) (- 3 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 795 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (201 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ 81 (* (* a a) (+ (* a a) 9)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (* (- 3 a) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (* (+ 1 a) (* b b)) (* (- 729 (* (pow a 3) (pow a 3))) (+ (+ a 3) (* (+ a 3) (* a a))))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a)))))) (* (* (* 4 (- a 1)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ 81 (* (* a a) (+ (* a a) 9)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (* (- 3 a) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (* (+ 1 a) (* b b)) (* (- 729 (* (pow a 3) (pow a 3))) (+ (+ a 3) (* (+ a 3) (* a a))))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a)))))) (* (* (* 4 (- a 1)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 796 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ (* a a) 1) (* (+ 1 a) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (+ 3 a)) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- 9 (* a a))) (* (- 1 (pow a 4)) (* a a)))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* a (+ 3 a)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3)))) (* (* (* (* (+ (* (+ 3 a) (* a a)) (+ 3 a)) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (+ (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ (* a a) 1) (* (+ 1 a) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (+ 3 a)) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (- 9 (* a a))) (* (- 1 (pow a 4)) (* a a)))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* a (+ 3 a)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3)))) (* (* (* (* (+ (* (+ 3 a) (* a a)) (+ 3 a)) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (+ (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 797 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ (+ 3 a) (* (+ 3 a) (* a a))) (+ (* 9 (* a a)) (+ (pow a 4) 81)))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (+ (* a a) 1) (* (+ 1 a) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (+ 3 a)) (* (* (* a a) (- 9 (* a a))) (* (+ (* 9 (* a a)) (+ (pow a 4) 81)) (- 1 (pow a 4))))) (* (* (* 4 (+ 3 a)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ (+ 3 a) (* (+ 3 a) (* a a))) (+ (* 9 (* a a)) (+ (pow a 4) 81)))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (+ (* a a) 1) (* (+ 1 a) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (+ 3 a)) (* (* (* a a) (- 9 (* a a))) (* (+ (* 9 (* a a)) (+ (pow a 4) 81)) (- 1 (pow a 4))))) (* (* (* 4 (+ 3 a)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 798 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (205 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ a 3) (* (* (+ (* a a) 1) (* (+ 1 a) (* b b))) (- 729 (* (pow a 3) (pow a 3))))) (* (* (* (- 1 (pow a 4)) (* a a)) (- 9 (* a a))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* 4 (- a 1)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)) (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ (* a (* a 9)) (+ (pow a 4) 81)))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ a 3) (* (* (+ (* a a) 1) (* (+ 1 a) (* b b))) (- 729 (* (pow a 3) (pow a 3))))) (* (* (* (- 1 (pow a 4)) (* a a)) (- 9 (* a a))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* 4 (- a 1)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)) (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ (* a (* a 9)) (+ (pow a 4) 81)))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 799 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ 3 a))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ 81 (* (+ (* a a) 9) (* a a)))) (* (* (* (- 9 (* a a)) (+ (* a a) -1)) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ (+ a 3) (* (+ a 3) (* a a))) (* (+ 1 a) (* b b)))) (* (+ 81 (* (+ (* a a) 9) (* a a))) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a)))))) (* (* (* 4 (+ a 3)) (- a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ 81 (* (+ (* a a) 9) (* a a)))) (* (* (* (- 9 (* a a)) (+ (* a a) -1)) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ (+ a 3) (* (+ a 3) (* a a))) (* (+ 1 a) (* b b)))) (* (+ 81 (* (+ (* a a) 9) (* a a))) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a)))))) (* (* (* 4 (+ a 3)) (- a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 800 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ (+ 81 (pow a 4)) (* 9 (* a a))))) (* (+ 1 a) (- 27 (pow a 3))))) (* (+ (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (* (+ 1 a) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- 9 (* a a))) (* (- 1 (pow a 4)) (* a a)))) (* (+ 36 (* 4 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ (+ 81 (pow a 4)) (* 9 (* a a))))) (* (+ 1 a) (- 27 (pow a 3))))) (* (+ (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (* (+ 1 a) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (- 9 (* a a))) (* (- 1 (pow a 4)) (* a a)))) (* (+ 36 (* 4 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 801 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ 3 a)) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (- 9 (* a a)) (+ 1 a)) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (+ (+ a 3) (* (+ a 3) (* a a))) (* (+ 1 a) (* b b))) (- 729 (pow (* a a) 3))) (* (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (+ 12 (* 4 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (- 9 (* a a)) (+ 1 a)) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (+ (+ a 3) (* (+ a 3) (* a a))) (* (+ 1 a) (* b b))) (- 729 (pow (* a a) 3))) (* (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (+ 12 (* 4 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 802 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ 1 a)) (* (- 729 (pow (* a a) 3)) (* b b))) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (* a a) (- 9 (* a a)))) (- 1 (pow a 4)))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (- 3 a) (+ 1 (pow a 3))))) (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ (+ (pow a 4) 81) (* 9 (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ 1 a)) (* (- 729 (pow (* a a) 3)) (* b b))) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (* a a) (- 9 (* a a)))) (- 1 (pow a 4)))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (- 3 a) (+ 1 (pow a 3))))) (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ (+ (pow a 4) 81) (* 9 (* a a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 803 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- a 1)) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (181 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (* (* (+ (* a a) -1) (- 3 a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 3) (* (+ (* a a) 1) (* (+ 1 a) (* b b))))) (* (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (+ (* a 4) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (* (* (+ (* a a) -1) (- 3 a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 3) (* (+ (* a a) 1) (* (+ 1 a) (* b b))))) (* (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (+ (* a 4) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (- a 1))))) 1)) * * * * [misc]progress: [ 804 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (205 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (+ a 3) (* (* (+ (* a a) 1) (* (+ 1 a) (* b b))) (- 729 (* (pow a 3) (pow a 3))))) (* (+ 81 (* (+ (* a a) 9) (* a a))) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a)))))) 4) (* (+ (* (* (* b 2) (* b (* a a))) (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ 81 (* (+ (* a a) 9) (* a a))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (+ 1 a) (- 3 a))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (+ a 3) (* (* (+ (* a a) 1) (* (+ 1 a) (* b b))) (- 729 (* (pow a 3) (pow a 3))))) (* (+ 81 (* (+ (* a a) 9) (* a a))) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a)))))) 4) (* (+ (* (* (* b 2) (* b (* a a))) (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ 81 (* (+ (* a a) 9) (* a a))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (+ 1 a) (- 3 a))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 805 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ 81 (* (+ (* a a) 9) (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a)))))) (* (* (- 3 a) (+ 1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ (* (+ a 3) (* a a)) (+ a 3)) (* (+ 1 a) (* b b)))) (* (+ 81 (* (+ (* a a) 9) (* a a))) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a)))))) (* (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ 81 (* (+ (* a a) 9) (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a)))))) (* (* (- 3 a) (+ 1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ (* (+ a 3) (* a a)) (+ a 3)) (* (+ 1 a) (* b b)))) (* (+ 81 (* (+ (* a a) 9) (* a a))) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a)))))) (* (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 806 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* (+ (* (+ 3 a) (* a a)) (+ 3 a)) (* (- 81 (pow a 4)) (* (+ 1 a) (* b b)))) (* (- 81 (pow a 4)) (* (- 1 (pow a 4)) (* a a)))) 4)) (* (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ 3 a)))) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ (* (+ 3 a) (* a a)) (+ 3 a)) (+ (* a a) 9))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* (+ (* (+ 3 a) (* a a)) (+ 3 a)) (* (- 81 (pow a 4)) (* (+ 1 a) (* b b)))) (* (- 81 (pow a 4)) (* (- 1 (pow a 4)) (* a a)))) 4)) (* (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ 3 a)))) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ (* (+ 3 a) (* a a)) (+ 3 a)) (+ (* a a) 9))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 807 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (* (+ 3 a) (* a a)) (+ 3 a)) (* (- 81 (pow a 4)) (* (+ 1 a) (* b b)))) (* (- 81 (pow a 4)) (* (- 1 (pow a 4)) (* a a))))) (* (* 4 (* (+ 3 a) (+ (* a a) (- 1 a)))) (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (* (+ 3 a) (* a a)) (+ 3 a)) (+ (* a a) 9)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (* (+ 3 a) (* a a)) (+ 3 a)) (* (- 81 (pow a 4)) (* (+ 1 a) (* b b)))) (* (- 81 (pow a 4)) (* (- 1 (pow a 4)) (* a a))))) (* (* 4 (* (+ 3 a) (+ (* a a) (- 1 a)))) (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (* (+ 3 a) (* a a)) (+ 3 a)) (+ (* a a) 9)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 808 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (217 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* (+ (+ a 3) (* (+ a 3) (* a a))) (* (- 81 (pow a 4)) (* (+ 1 a) (* b b)))) (* (- 81 (pow a 4)) (* (- 1 (pow a 4)) (* a a)))) 4)) (* (+ (* (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (* b 2) (* b (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* (+ (* a (+ a 3)) 9) (+ -1 a)))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (- 27 (pow a 3)) (- (* a a) 1)) (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* (+ (+ a 3) (* (+ a 3) (* a a))) (* (- 81 (pow a 4)) (* (+ 1 a) (* b b)))) (* (- 81 (pow a 4)) (* (- 1 (pow a 4)) (* a a)))) 4)) (* (+ (* (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (* b 2) (* b (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* (+ (* a (+ a 3)) 9) (+ -1 a)))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (- 27 (pow a 3)) (- (* a a) 1)) (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 809 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (+ a 3) (* (+ a 3) (* a a))) (* (+ 1 a) (* b b))) (- 81 (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (- 1 (* (* a a) (* a a))) (* a a))))) (* (* 4 (* (+ a 3) (- a 1))) (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ (* a a) 9))) (* (* (+ (* a a) -1) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (+ a 3) (* (+ a 3) (* a a))) (* (+ 1 a) (* b b))) (- 81 (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (- 1 (* (* a a) (* a a))) (* a a))))) (* (* 4 (* (+ a 3) (- a 1))) (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ (* a a) 9))) (* (* (+ (* a a) -1) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 810 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (+ (* (+ a 3) (* a a)) (+ a 3)) (* (- 81 (pow a 4)) (* (+ 1 a) (* b b)))) (* (- 81 (pow a 4)) (* (- 1 (pow a 4)) (* a a)))) 4)) (* (+ (* (* (* b 2) (* b (* a a))) (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (+ 9 (* a (+ a 3))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 1 a) (- 27 (pow a 3))) (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (+ (* (+ a 3) (* a a)) (+ a 3)) (* (- 81 (pow a 4)) (* (+ 1 a) (* b b)))) (* (- 81 (pow a 4)) (* (- 1 (pow a 4)) (* a a)))) 4)) (* (+ (* (* (* b 2) (* b (* a a))) (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (+ 9 (* a (+ a 3))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 1 a) (- 27 (pow a 3))) (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 811 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 1 a) (* b b)) (* (- 81 (* (* a a) (* a a))) (+ (* (+ a 3) (* a a)) (+ a 3)))) (* (- 81 (* (* a a) (* a a))) (* (- 1 (* (* a a) (* a a))) (* a a))))) (* (* 4 (+ a 3)) (+ (* (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) b) (* a a))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ (* a a) 9))) (* (* (+ 1 a) (- 9 (* a a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 1 a) (* b b)) (* (- 81 (* (* a a) (* a a))) (+ (* (+ a 3) (* a a)) (+ a 3)))) (* (- 81 (* (* a a) (* a a))) (* (- 1 (* (* a a) (* a a))) (* a a))))) (* (* 4 (+ a 3)) (+ (* (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) b) (* a a))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ (* a a) 9))) (* (* (+ 1 a) (- 9 (* a a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 812 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* (+ (* (+ (* (+ 3 a) (* a a)) (+ 3 a)) (* (- 81 (pow a 4)) (* (+ 1 a) (* b b)))) (* (- 81 (pow a 4)) (* (- 1 (pow a 4)) (* a a)))) 4)) (* (+ (* a a) (- 1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- 3 a) (+ (pow a 3) 1)) (* (+ (* (+ 3 a) (* a a)) (+ 3 a)) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* (+ (* (+ (* (+ 3 a) (* a a)) (+ 3 a)) (* (- 81 (pow a 4)) (* (+ 1 a) (* b b)))) (* (- 81 (pow a 4)) (* (- 1 (pow a 4)) (* a a)))) 4)) (* (+ (* a a) (- 1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- 3 a) (+ (pow a 3) 1)) (* (+ (* (+ 3 a) (* a a)) (+ 3 a)) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 813 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 1 a) (* b b)) (* (- 81 (* (* a a) (* a a))) (+ (* (+ a 3) (* a a)) (+ a 3)))) (* (- 81 (* (* a a) (* a a))) (* (- 1 (* (* a a) (* a a))) (* a a))))) (* (* 4 (- a 1)) (+ (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ (* a a) 9)) (* (+ (* a a) -1) (- 3 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 1 a) (* b b)) (* (- 81 (* (* a a) (* a a))) (+ (* (+ a 3) (* a a)) (+ a 3)))) (* (- 81 (* (* a a) (* a a))) (* (- 1 (* (* a a) (* a a))) (* a a))))) (* (* 4 (- a 1)) (+ (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ (* a a) 9)) (* (+ (* a a) -1) (- 3 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 814 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ (* a a) 9)) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (* (+ a 3) (* a a)) (+ a 3)) (* (- 81 (pow a 4)) (* (+ 1 a) (* b b)))) (* (- 81 (pow a 4)) (* (- 1 (pow a 4)) (* a a))))) (* 4 (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (+ (* a (+ a 3)) 9) (+ (* a a) (- 1 a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ (* a a) 9)) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (* (+ a 3) (* a a)) (+ a 3)) (* (- 81 (pow a 4)) (* (+ 1 a) (* b b)))) (* (- 81 (pow a 4)) (* (- 1 (pow a 4)) (* a a))))) (* 4 (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (+ (* a (+ a 3)) 9) (+ (* a a) (- 1 a))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 815 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (+ (* (+ a 3) (* a a)) (+ a 3)) (* (- 81 (pow a 4)) (* (+ 1 a) (* b b)))) (* (- 81 (pow a 4)) (* (- 1 (pow a 4)) (* a a)))) (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ (* a a) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (+ (* (+ a 3) (* a a)) (+ a 3)) (* (- 81 (pow a 4)) (* (+ 1 a) (* b b)))) (* (- 81 (pow a 4)) (* (- 1 (pow a 4)) (* a a)))) (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ (* a a) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 816 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (- a 1) (+ 9 (* a (+ a 3)))))) (* (+ (* (+ (* (+ a 3) (* a a)) (+ a 3)) (* (- 81 (pow a 4)) (* (+ 1 a) (* b b)))) (* (- 81 (pow a 4)) (* (- 1 (pow a 4)) (* a a)))) 4)) (* (* (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ (* a a) 9)) (* (+ (* a a) -1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (- a 1) (+ 9 (* a (+ a 3)))))) (* (+ (* (+ (* (+ a 3) (* a a)) (+ a 3)) (* (- 81 (pow a 4)) (* (+ 1 a) (* b b)))) (* (- 81 (pow a 4)) (* (- 1 (pow a 4)) (* a a)))) 4)) (* (* (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ (* a a) 9)) (* (+ (* a a) -1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 817 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (- 81 (* (* a a) (* a a)))) (* (+ 1 a) (* b b))) (* (- 81 (* (* a a) (* a a))) (* (- 1 (* (* a a) (* a a))) (* a a)))) (* (* (* 4 (* (- a 1) (+ a 3))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ (* a a) 9))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (- 81 (* (* a a) (* a a)))) (* (+ 1 a) (* b b))) (* (- 81 (* (* a a) (* a a))) (* (- 1 (* (* a a) (* a a))) (* a a)))) (* (* (* 4 (* (- a 1) (+ a 3))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ (* a a) 9))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 818 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)) (+ (* (+ (* (+ (* (+ a 3) (* a a)) (+ a 3)) (* (- 81 (pow a 4)) (* (+ 1 a) (* b b)))) (* (- 81 (pow a 4)) (* (- 1 (pow a 4)) (* a a)))) (* (* 4 (+ (* a (+ a 3)) 9)) (- (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a)))))) (* (* (- (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a)))) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (* (- 27 (pow a 3)) (+ 1 a)) (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ (* a a) 9)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)) (+ (* (+ (* (+ (* (+ a 3) (* a a)) (+ a 3)) (* (- 81 (pow a 4)) (* (+ 1 a) (* b b)))) (* (- 81 (pow a 4)) (* (- 1 (pow a 4)) (* a a)))) (* (* 4 (+ (* a (+ a 3)) 9)) (- (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a)))))) (* (* (- (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a)))) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (* (- 27 (pow a 3)) (+ 1 a)) (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ (* a a) 9)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 819 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (182 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ 1 a)) (* (- 81 (* (* a a) (* a a))) (* b b))) (* (- 81 (* (* a a) (* a a))) (* (- 1 (* (* a a) (* a a))) (* a a)))) (* (* (* 4 (+ a 3)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ (* a a) 9)) (* (+ 1 a) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ 1 a)) (* (- 81 (* (* a a) (* a a))) (* b b))) (* (- 81 (* (* a a) (* a a))) (* (- 1 (* (* a a) (* a a))) (* a a)))) (* (* (* 4 (+ a 3)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ (* a a) 9)) (* (+ 1 a) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 820 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (+ (+ 3 a) (* (+ 3 a) (* a a))) (* (- 81 (pow a 4)) (* (+ 1 a) (* b b)))) (* (- 81 (pow a 4)) (* (- 1 (pow a 4)) (* a a)))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (* (- 3 a) (+ 1 (pow a 3))) (* (+ (+ 3 a) (* (+ 3 a) (* a a))) (+ (* a a) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (+ (+ 3 a) (* (+ 3 a) (* a a))) (* (- 81 (pow a 4)) (* (+ 1 a) (* b b)))) (* (- 81 (pow a 4)) (* (- 1 (pow a 4)) (* a a)))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (* (- 3 a) (+ 1 (pow a 3))) (* (+ (+ 3 a) (* (+ 3 a) (* a a))) (+ (* a a) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 821 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (184 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ a 3) (* a a)) (+ a 3))) (* (* (+ (* a a) 9) (* (+ (* a a) -1) (- 3 a))) (* (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))) (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))))) (* (+ (* (* (+ 1 a) (* b b)) (* (- 81 (* (* a a) (* a a))) (+ (* (+ a 3) (* a a)) (+ a 3)))) (* (- 81 (* (* a a) (* a a))) (* (- 1 (* (* a a) (* a a))) (* a a)))) (* (* (* 4 (- a 1)) (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ a 3) (* a a)) (+ a 3))) (* (* (+ (* a a) 9) (* (+ (* a a) -1) (- 3 a))) (* (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))) (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))))) (* (+ (* (* (+ 1 a) (* b b)) (* (- 81 (* (* a a) (* a a))) (+ (* (+ a 3) (* a a)) (+ a 3)))) (* (- 81 (* (* a a) (* a a))) (* (- 1 (* (* a a) (* a a))) (* a a)))) (* (* (* 4 (- a 1)) (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 822 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ (* a a) 9)))) (* (+ (* (+ (* (+ a 3) (* a a)) (+ a 3)) (* (- 81 (pow a 4)) (* (+ 1 a) (* b b)))) (* (- 81 (pow a 4)) (* (- 1 (pow a 4)) (* a a)))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* a (+ a 3)) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ (* a a) 9)))) (* (+ (* (+ (* (+ a 3) (* a a)) (+ a 3)) (* (- 81 (pow a 4)) (* (+ 1 a) (* b b)))) (* (- 81 (pow a 4)) (* (- 1 (pow a 4)) (* a a)))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* a (+ a 3)) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 823 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (+ 3 a) (* (+ 3 a) (* a a))) (* (* (+ (* a a) 9) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))) (* (+ (* (+ (+ 3 a) (* (+ 3 a) (* a a))) (* (- 81 (pow a 4)) (* (+ 1 a) (* b b)))) (* (- 81 (pow a 4)) (* (- 1 (pow a 4)) (* a a)))) (* (* 4 (+ 3 a)) (+ (* a a) (- 1 a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (+ 3 a) (* (+ 3 a) (* a a))) (* (* (+ (* a a) 9) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))) (* (+ (* (+ (+ 3 a) (* (+ 3 a) (* a a))) (* (- 81 (pow a 4)) (* (+ 1 a) (* b b)))) (* (- 81 (pow a 4)) (* (- 1 (pow a 4)) (* a a)))) (* (* 4 (+ 3 a)) (+ (* a a) (- 1 a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 824 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (188 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (+ (* (+ a 3) (* a a)) (+ a 3)) (* (- 81 (pow a 4)) (* (+ 1 a) (* b b)))) (* (- 81 (pow a 4)) (* (- 1 (pow a 4)) (* a a)))) (* (* 4 (- a 1)) (+ (* a (+ a 3)) 9))) (* (* (* (+ (* a a) -1) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ (* a a) 9))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (+ (* (+ a 3) (* a a)) (+ a 3)) (* (- 81 (pow a 4)) (* (+ 1 a) (* b b)))) (* (- 81 (pow a 4)) (* (- 1 (pow a 4)) (* a a)))) (* (* 4 (- a 1)) (+ (* a (+ a 3)) 9))) (* (* (* (+ (* a a) -1) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ (* a a) 9))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 825 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ 3 a))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 1 a) (* b b)) (* (- 81 (* (* a a) (* a a))) (+ (* (+ a 3) (* a a)) (+ a 3)))) (* (- 81 (* (* a a) (* a a))) (* (- 1 (* (* a a) (* a a))) (* a a)))) (* (* (* 4 (- a 1)) (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (+ (* a a) -1) (- 9 (* a a))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 1 a) (* b b)) (* (- 81 (* (* a a) (* a a))) (+ (* (+ a 3) (* a a)) (+ a 3)))) (* (- 81 (* (* a a) (* a a))) (* (- 1 (* (* a a) (* a a))) (* a a)))) (* (* (* 4 (- a 1)) (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (+ (* a a) -1) (- 9 (* a a))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 826 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ (* a a) 9)) (+ (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ 1 a) (- 27 (pow a 3)))) (* (+ (* (+ (+ a 3) (* (+ a 3) (* a a))) (* (- 81 (pow a 4)) (* (+ 1 a) (* b b)))) (* (- 81 (pow a 4)) (* (- 1 (pow a 4)) (* a a)))) (+ 36 (* 4 (* a (+ a 3))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ (* a a) 9)) (+ (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ 1 a) (- 27 (pow a 3)))) (* (+ (* (+ (+ a 3) (* (+ a 3) (* a a))) (* (- 81 (pow a 4)) (* (+ 1 a) (* b b)))) (* (- 81 (pow a 4)) (* (- 1 (pow a 4)) (* a a)))) (+ 36 (* 4 (* a (+ a 3))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 827 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ 3 a)) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (+ 1 a) (- 9 (* a a)))) (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ (* a a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3)))) (* (+ (* (* (+ 1 a) (* b b)) (* (- 81 (* (* a a) (* a a))) (+ (* (+ a 3) (* a a)) (+ a 3)))) (* (- 81 (* (* a a) (* a a))) (* (- 1 (* (* a a) (* a a))) (* a a)))) (* (* (+ a 3) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (+ 1 a) (- 9 (* a a)))) (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ (* a a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3)))) (* (+ (* (* (+ 1 a) (* b b)) (* (- 81 (* (* a a) (* a a))) (+ (* (+ a 3) (* a a)) (+ a 3)))) (* (- 81 (* (* a a) (* a a))) (* (- 1 (* (* a a) (* a a))) (* a a)))) (* (* (+ a 3) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 828 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* a a) (- 1 a)) 4) (+ (* (+ (* (+ 3 a) (* a a)) (+ 3 a)) (* (- 81 (pow a 4)) (* (+ 1 a) (* b b)))) (* (- 81 (pow a 4)) (* (- 1 (pow a 4)) (* a a))))) (* (* (* (+ (* (+ 3 a) (* a a)) (+ 3 a)) (+ (* a a) 9)) (* (+ 1 (pow a 3)) (- 3 a))) (+ (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* a a) (- 1 a)) 4) (+ (* (+ (* (+ 3 a) (* a a)) (+ 3 a)) (* (- 81 (pow a 4)) (* (+ 1 a) (* b b)))) (* (- 81 (pow a 4)) (* (- 1 (pow a 4)) (* a a))))) (* (* (* (+ (* (+ 3 a) (* a a)) (+ 3 a)) (+ (* a a) 9)) (* (+ 1 (pow a 3)) (- 3 a))) (+ (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 829 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- a 1)) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (164 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ a 3) (* (* (+ (* a a) 1) (* (+ 1 a) (* b b))) (- 81 (* (* a a) (* a a))))) (* (- 81 (* (* a a) (* a a))) (* (- 1 (* (* a a) (* a a))) (* a a)))) (* (+ (* 4 a) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (* a a) -1) (- 3 a)) (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ (* a a) 9)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ a 3) (* (* (+ (* a a) 1) (* (+ 1 a) (* b b))) (- 81 (* (* a a) (* a a))))) (* (- 81 (* (* a a) (* a a))) (* (- 1 (* (* a a) (* a a))) (* a a)))) (* (+ (* 4 a) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (* a a) -1) (- 3 a)) (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ (* a a) 9)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (- a 1))))) 1)) * * * * [misc]progress: [ 830 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (188 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- 81 (* (* a a) (* a a))) (* (+ a 3) (* (+ (* a a) 1) (* (+ 1 a) (* b b))))) (* (- 81 (* (* a a) (* a a))) (* (- 1 (* (* a a) (* a a))) (* a a)))) 4) (* (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2)))))) (* (* (* (- 3 a) (+ 1 a)) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ (* a a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- 81 (* (* a a) (* a a))) (* (+ a 3) (* (+ (* a a) 1) (* (+ 1 a) (* b b))))) (* (- 81 (* (* a a) (* a a))) (* (- 1 (* (* a a) (* a a))) (* a a)))) 4) (* (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2)))))) (* (* (* (- 3 a) (+ 1 a)) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ (* a a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 831 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (+ a 3) (* (+ a 3) (* a a))) (- 81 (* (* a a) (* a a)))) (* (+ 1 a) (* b b))) (* (- 81 (* (* a a) (* a a))) (* (- 1 (* (* a a) (* a a))) (* a a)))) (* (* 4 (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ (* a a) 9))) (* (* (- 3 a) (+ 1 a)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (+ a 3) (* (+ a 3) (* a a))) (- 81 (* (* a a) (* a a)))) (* (+ 1 a) (* b b))) (* (- 81 (* (* a a) (* a a))) (* (- 1 (* (* a a) (* a a))) (* a a)))) (* (* 4 (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (+ (+ a 3) (* (+ a 3) (* a a))) (+ (* a a) 9))) (* (* (- 3 a) (+ 1 a)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ 9 (* a a))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 832 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ 1 (pow a 3))) (* (* b b) (- 9 (* a a)))) (* (* (+ (- 1 a) (* a a)) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a)))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (+ (* (* (* b 2) (* b (* a a))) (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (* (+ (- 1 a) (* a a)) (+ (* (+ a 3) (* a a)) (+ a 3))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ 1 (pow a 3))) (* (* b b) (- 9 (* a a)))) (* (* (+ (- 1 a) (* a a)) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a)))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (+ (* (* (* b 2) (* b (* a a))) (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (* (+ (- 1 a) (* a a)) (+ (* (+ a 3) (* a a)) (+ a 3))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 833 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- 9 (* a a)) (* (* (+ 1 (pow a 3)) (* b b)) (+ (+ 3 a) (* (+ 3 a) (* a a))))) (* (* (+ (- 1 a) (* a a)) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a)))))) (* (* 4 (* (+ 3 a) (+ (- 1 a) (* a a)))) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (* (* (+ (* a a) 1) (* (+ 3 a) (+ (- 1 a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- 9 (* a a)) (* (* (+ 1 (pow a 3)) (* b b)) (+ (+ 3 a) (* (+ 3 a) (* a a))))) (* (* (+ (- 1 a) (* a a)) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a)))))) (* (* 4 (* (+ 3 a) (+ (- 1 a) (* a a)))) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (* (* (+ (* a a) 1) (* (+ 3 a) (+ (- 1 a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 834 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (220 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (* (* (+ (- 1 a) (* a a)) (+ a 3)) (+ (* a a) 1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ a 3) (* (* (+ (* a a) 1) (+ 1 (pow a 3))) (* (* b b) (- 9 (* a a))))) (* (* (+ (- 1 a) (* a a)) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a)))))) (* (* 4 (* (- a 1) (+ (* a (+ a 3)) 9))) (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (* (* (+ (- 1 a) (* a a)) (+ a 3)) (+ (* a a) 1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ a 3) (* (* (+ (* a a) 1) (+ 1 (pow a 3))) (* (* b b) (- 9 (* a a))))) (* (* (+ (- 1 a) (* a a)) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a)))))) (* (* 4 (* (- a 1) (+ (* a (+ a 3)) 9))) (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 835 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (205 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ (* (+ 3 a) (* a a)) (+ 3 a)))) (* (* (+ (- 1 a) (* a a)) (- 9 (* a a))) (* (- 1 (pow a 4)) (* a a))))) (* (* 4 (* (+ 3 a) (- a 1))) (+ (* (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (* (+ (* a a) 1) (+ (- 1 a) (* a a))) (+ 3 a)) (* (- 9 (* a a)) (+ (* a a) -1))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ (* (+ 3 a) (* a a)) (+ 3 a)))) (* (* (+ (- 1 a) (* a a)) (- 9 (* a a))) (* (- 1 (pow a 4)) (* a a))))) (* (* 4 (* (+ 3 a) (- a 1))) (+ (* (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (* (+ (* a a) 1) (+ (- 1 a) (* a a))) (+ 3 a)) (* (- 9 (* a a)) (+ (* a a) -1))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 836 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- 9 (* a a)) (* (* (+ 1 (pow a 3)) (* b b)) (+ (* (+ a 3) (* a a)) (+ a 3)))) (* (* (+ (- 1 a) (* a a)) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a)))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (* (* b 2) (* b (* a a))) (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 1 a) (- 27 (pow a 3))) (* (* (+ (* a a) 1) (+ (- 1 a) (* a a))) (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- 9 (* a a)) (* (* (+ 1 (pow a 3)) (* b b)) (+ (* (+ a 3) (* a a)) (+ a 3)))) (* (* (+ (- 1 a) (* a a)) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a)))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (* (* b 2) (* b (* a a))) (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 1 a) (- 27 (pow a 3))) (* (* (+ (* a a) 1) (+ (- 1 a) (* a a))) (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 837 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ 1 (pow a 3)) (* b b)) (+ (+ 3 a) (* (+ 3 a) (* a a)))) (- 9 (* a a))) (* (* (+ (- 1 a) (* a a)) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a)))))) (* (* 4 (+ 3 a)) (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (- 9 (* a a)) (+ 1 a))) (* (* (+ (- 1 a) (* a a)) (+ (+ 3 a) (* (+ 3 a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ 1 (pow a 3)) (* b b)) (+ (+ 3 a) (* (+ 3 a) (* a a)))) (- 9 (* a a))) (* (* (+ (- 1 a) (* a a)) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a)))))) (* (* 4 (+ 3 a)) (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (- 9 (* a a)) (+ 1 a))) (* (* (+ (- 1 a) (* a a)) (+ (+ 3 a) (* (+ 3 a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 838 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- 9 (* a a)) (* (* (+ 1 (pow a 3)) (* b b)) (+ (* (+ a 3) (* a a)) (+ a 3)))) (* (* (+ (- 1 a) (* a a)) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a)))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ a 3) (* a a)) (+ a 3))) (* (* (+ (- 1 a) (* a a)) (* (+ 1 (pow a 3)) (- 3 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- 9 (* a a)) (* (* (+ 1 (pow a 3)) (* b b)) (+ (* (+ a 3) (* a a)) (+ a 3)))) (* (* (+ (- 1 a) (* a a)) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a)))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ a 3) (* a a)) (+ a 3))) (* (* (+ (- 1 a) (* a a)) (* (+ 1 (pow a 3)) (- 3 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 839 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ 3 a) (* (* (+ (* a a) 1) (- 9 (* a a))) (* (+ 1 (pow a 3)) (* b b)))) (* (* (+ (- 1 a) (* a a)) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a)))))) (* (* 4 (- a 1)) (+ (* (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (+ (* a a) 1) (* (+ 3 a) (+ (- 1 a) (* a a)))) (* (- 3 a) (+ (* a a) -1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ 3 a) (* (* (+ (* a a) 1) (- 9 (* a a))) (* (+ 1 (pow a 3)) (* b b)))) (* (* (+ (- 1 a) (* a a)) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a)))))) (* (* 4 (- a 1)) (+ (* (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (+ (* a a) 1) (* (+ 3 a) (+ (- 1 a) (* a a)))) (* (- 3 a) (+ (* a a) -1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 840 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (+ 1 (pow a 3)) (* (* (* b b) (- 9 (* a a))) (+ (* (+ 3 a) (* a a)) (+ 3 a)))) (* (* (* a a) (- 9 (* a a))) (* (+ (- 1 a) (* a a)) (- 1 (pow a 4))))) (* (* 4 (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ 3 a)))))) (* (* (* (+ (- 1 a) (* a a)) (+ (* (+ 3 a) (* a a)) (+ 3 a))) (* (- 27 (pow a 3)) (+ 1 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (+ 1 (pow a 3)) (* (* (* b b) (- 9 (* a a))) (+ (* (+ 3 a) (* a a)) (+ 3 a)))) (* (* (* a a) (- 9 (* a a))) (* (+ (- 1 a) (* a a)) (- 1 (pow a 4))))) (* (* 4 (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ 3 a)))))) (* (* (* (+ (- 1 a) (* a a)) (+ (* (+ 3 a) (* a a)) (+ 3 a))) (* (- 27 (pow a 3)) (+ 1 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 841 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ (* a a) 1) (- 9 (* a a))) (* (+ 1 (pow a 3)) (* b b))) (+ a 3)) (* (* (* a a) (- 9 (* a a))) (* (+ (- 1 a) (* a a)) (- 1 (pow a 4))))) (* (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ (* a a) 1) (* (+ a 3) (+ (- 1 a) (* a a)))) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ (* a a) 1) (- 9 (* a a))) (* (+ 1 (pow a 3)) (* b b))) (+ a 3)) (* (* (* a a) (- 9 (* a a))) (* (+ (- 1 a) (* a a)) (- 1 (pow a 4))))) (* (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ (* a a) 1) (* (+ a 3) (+ (- 1 a) (* a a)))) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 842 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (* (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (* (- 27 (pow a 3)) (+ (* a a) -1)) (* (+ a 3) (* (+ (* a a) 1) (+ (- 1 a) (* a a)))))) (* (* (* 4 (* (+ -1 a) (+ 9 (* a (+ a 3))))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ (+ a 3) (* (+ a 3) (* a a))))) (* (* (+ (- 1 a) (* a a)) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (* (- 27 (pow a 3)) (+ (* a a) -1)) (* (+ a 3) (* (+ (* a a) 1) (+ (- 1 a) (* a a)))))) (* (* (* 4 (* (+ -1 a) (+ 9 (* a (+ a 3))))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ (+ a 3) (* (+ a 3) (* a a))))) (* (* (+ (- 1 a) (* a a)) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 843 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (+ 3 a) (* a a)) (+ 3 a)) (+ 1 (pow a 3))) (* (* b b) (- 9 (* a a)))) (* (* (+ (- 1 a) (* a a)) (- 9 (* a a))) (* (- 1 (pow a 4)) (* a a)))) (* (* (* 4 (* (+ a -1) (+ 3 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a))))) (* (* (+ (* a a) -1) (- 9 (* a a))) (* (* (+ (* a a) 1) (+ (- 1 a) (* a a))) (+ 3 a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (+ 3 a) (* a a)) (+ 3 a)) (+ 1 (pow a 3))) (* (* b b) (- 9 (* a a)))) (* (* (+ (- 1 a) (* a a)) (- 9 (* a a))) (* (- 1 (pow a 4)) (* a a)))) (* (* (* 4 (* (+ a -1) (+ 3 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a))))) (* (* (+ (* a a) -1) (- 9 (* a a))) (* (* (+ (* a a) 1) (+ (- 1 a) (* a a))) (+ 3 a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 844 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ (+ 3 a) (* (+ 3 a) (* a a))))) (* (* (+ (- 1 a) (* a a)) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a))))) (* (* (* 4 (+ 9 (* a (+ 3 a)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (* (+ 1 a) (- 27 (pow a 3))) (* (+ (* a a) 1) (* (+ 3 a) (+ (- 1 a) (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ (+ 3 a) (* (+ 3 a) (* a a))))) (* (* (+ (- 1 a) (* a a)) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a))))) (* (* (* 4 (+ 9 (* a (+ 3 a)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (* (+ 1 a) (- 27 (pow a 3))) (* (+ (* a a) 1) (* (+ 3 a) (+ (- 1 a) (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 845 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (188 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ 1 (pow a 3)) (* b b)) (+ (+ a 3) (* (+ a 3) (* a a)))) (- 9 (* a a))) (* (* (+ (- 1 a) (* a a)) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a))))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (* (+ (- 1 a) (* a a)) (+ a 3)) (+ (* a a) 1)) (* (+ 1 a) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ 1 (pow a 3)) (* b b)) (+ (+ a 3) (* (+ a 3) (* a a)))) (- 9 (* a a))) (* (* (+ (- 1 a) (* a a)) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a))))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (* (+ (- 1 a) (* a a)) (+ a 3)) (+ (* a a) 1)) (* (+ 1 a) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 846 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (188 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ (* a a) 1) (+ 1 (pow a 3))) (* (* b b) (- 9 (* a a)))) (+ 3 a)) (* (* (+ (- 1 a) (* a a)) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (* (- 3 a) (+ 1 (pow a 3))) (* (* (+ (- 1 a) (* a a)) (+ 3 a)) (+ (* a a) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ (* a a) 1) (+ 1 (pow a 3))) (* (* b b) (- 9 (* a a)))) (+ 3 a)) (* (* (+ (- 1 a) (* a a)) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (* (- 3 a) (+ 1 (pow a 3))) (* (* (+ (- 1 a) (* a a)) (+ 3 a)) (+ (* a a) 1)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 847 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (188 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a))))) (* (* (+ (* a a) -1) (- 3 a)) (* (+ 3 a) (* (+ (* a a) 1) (+ (- 1 a) (* a a))))))) (* (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ (* (+ 3 a) (* a a)) (+ 3 a)))) (* (* (* a a) (- 9 (* a a))) (* (+ (- 1 a) (* a a)) (- 1 (pow a 4))))) (* (* (* 4 (- a 1)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a))))) (* (* (+ (* a a) -1) (- 3 a)) (* (+ 3 a) (* (+ (* a a) 1) (+ (- 1 a) (* a a))))))) (* (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ (* (+ 3 a) (* a a)) (+ 3 a)))) (* (* (* a a) (- 9 (* a a))) (* (+ (- 1 a) (* a a)) (- 1 (pow a 4))))) (* (* (* 4 (- a 1)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 848 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ 1 (pow a 3)) (* (* (* b b) (- 9 (* a a))) (+ (+ 3 a) (* (+ 3 a) (* a a))))) (* (* (* a a) (- 9 (* a a))) (* (+ (- 1 a) (* a a)) (- 1 (pow a 4))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ 9 (* a (+ 3 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (+ (- 1 a) (* a a)) (+ 3 a)) (+ (* a a) 1)))) (* (- 27 (pow a 3)) (+ 1 (pow a 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ 1 (pow a 3)) (* (* (* b b) (- 9 (* a a))) (+ (+ 3 a) (* (+ 3 a) (* a a))))) (* (* (* a a) (- 9 (* a a))) (* (+ (- 1 a) (* a a)) (- 1 (pow a 4))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ 9 (* a (+ 3 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (+ (- 1 a) (* a a)) (+ 3 a)) (+ (* a a) 1)))) (* (- 27 (pow a 3)) (+ 1 (pow a 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 849 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (* (+ (* a a) 1) (* (+ 3 a) (+ (- 1 a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (+ 3 a) (* (* (+ (* a a) 1) (- 9 (* a a))) (* (+ 1 (pow a 3)) (* b b)))) (* (* (+ (- 1 a) (* a a)) (- 9 (* a a))) (* (- 1 (pow a 4)) (* a a)))) (* (* (* 4 (+ 3 a)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (* (+ (* a a) 1) (* (+ 3 a) (+ (- 1 a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (+ 3 a) (* (* (+ (* a a) 1) (- 9 (* a a))) (* (+ 1 (pow a 3)) (* b b)))) (* (* (+ (- 1 a) (* a a)) (- 9 (* a a))) (* (- 1 (pow a 4)) (* a a)))) (* (* (* 4 (+ 3 a)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 850 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))) (* (- (* a a) 1) (- 27 (pow a 3))))) (* (+ 3 a) (* (+ (* a a) 1) (+ (- 1 a) (* a a))))) (* (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ (* (+ 3 a) (* a a)) (+ 3 a)))) (* (* (+ (- 1 a) (* a a)) (- 9 (* a a))) (* (- 1 (pow a 4)) (* a a)))) (* (* (* 4 (- a 1)) (+ 9 (* a (+ 3 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))) (* (- (* a a) 1) (- 27 (pow a 3))))) (* (+ 3 a) (* (+ (* a a) 1) (+ (- 1 a) (* a a))))) (* (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ (* (+ 3 a) (* a a)) (+ 3 a)))) (* (* (+ (- 1 a) (* a a)) (- 9 (* a a))) (* (- 1 (pow a 4)) (* a a)))) (* (* (* 4 (- a 1)) (+ 9 (* a (+ 3 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 851 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- a 1) (+ 3 a))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ (- 1 a) (* a a)) (* (+ (* a a) -1) (- 9 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ a 3) (* (+ a 3) (* a a))))) (* (+ (* (* (+ (+ a 3) (* (+ a 3) (* a a))) (- 9 (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (* (+ (- 1 a) (* a a)) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a))))) (* (* (* 4 (+ a 3)) (+ -1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ (- 1 a) (* a a)) (* (+ (* a a) -1) (- 9 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (+ a 3) (* (+ a 3) (* a a))))) (* (+ (* (* (+ (+ a 3) (* (+ a 3) (* a a))) (- 9 (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (* (+ (- 1 a) (* a a)) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a))))) (* (* (* 4 (+ a 3)) (+ -1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 852 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ (* a a) 1) (+ 1 (pow a 3))) (* (* b b) (- 9 (* a a)))) (+ a 3)) (* (* (+ (- 1 a) (* a a)) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a))))) (* (+ (* (* a (+ a 3)) 4) 36) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* a a) 1) (+ (- 1 a) (* a a))) (+ a 3))) (* (* (- 27 (pow a 3)) (+ 1 a)) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ (* a a) 1) (+ 1 (pow a 3))) (* (* b b) (- 9 (* a a)))) (+ a 3)) (* (* (+ (- 1 a) (* a a)) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a))))) (* (+ (* (* a (+ a 3)) 4) 36) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* a a) 1) (+ (- 1 a) (* a a))) (+ a 3))) (* (* (- 27 (pow a 3)) (+ 1 a)) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 853 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (+ 3 a)) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ 3 a) (* a a)) (+ 3 a))) (* (* (+ (- 1 a) (* a a)) (* (- 9 (* a a)) (+ 1 a))) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))))) (* (+ (* (+ 3 a) (* (* (+ (* a a) 1) (+ 1 (pow a 3))) (* (* b b) (- 9 (* a a))))) (* (* (+ (- 1 a) (* a a)) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a))))) (* (* 4 (+ 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ 3 a) (* a a)) (+ 3 a))) (* (* (+ (- 1 a) (* a a)) (* (- 9 (* a a)) (+ 1 a))) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))))) (* (+ (* (+ 3 a) (* (* (+ (* a a) 1) (+ 1 (pow a 3))) (* (* b b) (- 9 (* a a))))) (* (* (+ (- 1 a) (* a a)) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a))))) (* (* 4 (+ 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 854 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ (* a a) 1) (+ 1 (pow a 3))) (* (* b b) (- 9 (* a a)))) (+ 3 a)) (* (* (* a a) (- 9 (* a a))) (* (+ (- 1 a) (* a a)) (- 1 (pow a 4))))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (- 1 a) (* a a)) (+ 3 a)) (+ (* a a) 1))) (* (* (- 3 a) (+ 1 (pow a 3))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ (* a a) 1) (+ 1 (pow a 3))) (* (* b b) (- 9 (* a a)))) (+ 3 a)) (* (* (* a a) (- 9 (* a a))) (* (+ (- 1 a) (* a a)) (- 1 (pow a 4))))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (- 1 a) (* a a)) (+ 3 a)) (+ (* a a) 1))) (* (* (- 3 a) (+ 1 (pow a 3))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 855 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (- a 1)) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3)) (* (* (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (- 3 a) (+ (* a a) -1))) (* (+ (* a a) 1) (* (+ a 3) (+ (- 1 a) (* a a)))))) (* (+ (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ 1 (pow a 3))) (* (* b b) (- 9 (* a a)))) (* (* (* a a) (- 9 (* a a))) (* (+ (- 1 a) (* a a)) (- 1 (pow a 4))))) (* (* (- a 1) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3)) (* (* (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (- 3 a) (+ (* a a) -1))) (* (+ (* a a) 1) (* (+ a 3) (+ (- 1 a) (* a a)))))) (* (+ (* (* (+ (* (+ a 3) (* a a)) (+ a 3)) (+ 1 (pow a 3))) (* (* b b) (- 9 (* a a)))) (* (* (* a a) (- 9 (* a a))) (* (+ (- 1 a) (* a a)) (- 1 (pow a 4))))) (* (* (- a 1) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (- a 1))))) 1)) * * * * [misc]progress: [ 856 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* a a) 1) (* (+ 3 a) (+ (- 1 a) (* a a))))) (* (* (- 3 a) (+ 1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* 4 (+ (* (* (* (+ 1 (pow a 3)) (* b b)) (+ (* (+ 3 a) (* a a)) (+ 3 a))) (- 9 (* a a))) (* (* (+ (- 1 a) (* a a)) (- 9 (* a a))) (* (- 1 (pow a 4)) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* a a) 1) (* (+ 3 a) (+ (- 1 a) (* a a))))) (* (* (- 3 a) (+ 1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* 4 (+ (* (* (* (+ 1 (pow a 3)) (* b b)) (+ (* (+ 3 a) (* a a)) (+ 3 a))) (- 9 (* a a))) (* (* (+ (- 1 a) (* a a)) (- 9 (* a a))) (* (- 1 (pow a 4)) (* a a))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 857 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ 1 (pow a 3)) (* (* (* b b) (- 9 (* a a))) (+ (* (+ a 3) (* a a)) (+ a 3)))) (* (* (+ (- 1 a) (* a a)) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (* (- 3 a) (+ 1 a))) (* (* (* (+ (- 1 a) (* a a)) (+ a 3)) (+ (* a a) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ 1 (pow a 3)) (* (* (* b b) (- 9 (* a a))) (+ (* (+ a 3) (* a a)) (+ a 3)))) (* (* (+ (- 1 a) (* a a)) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (* (- 3 a) (+ 1 a))) (* (* (* (+ (- 1 a) (* a a)) (+ a 3)) (+ (* a a) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 858 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (208 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (- a 1) (- 9 (* a a))) (* (- 1 (pow a 4)) (* a a))) (* (+ (* (* a a) (+ a 3)) (+ a 3)) (* (* (+ (* a a) -1) (* b b)) (- 9 (* a a)))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (* (* (- a 1) (+ a 3)) (+ (* a a) 1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (- a 1) (- 9 (* a a))) (* (- 1 (pow a 4)) (* a a))) (* (+ (* (* a a) (+ a 3)) (+ a 3)) (* (* (+ (* a a) -1) (* b b)) (- 9 (* a a)))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (* (* (- a 1) (+ a 3)) (+ (* a a) 1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 859 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (* (+ (* a a) 1) (* (+ 3 a) (- a 1))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* a a) (- 9 (* a a))) (* (- a 1) (- 1 (pow a 4)))) (* (* (+ (* (* a a) (+ 3 a)) (+ 3 a)) (- (* a a) 1)) (* (* b b) (- 9 (* a a)))))) (* (* 4 (* (+ 3 a) (+ (- 1 a) (* a a)))) (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (* (+ (* a a) 1) (* (+ 3 a) (- a 1))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* a a) (- 9 (* a a))) (* (- a 1) (- 1 (pow a 4)))) (* (* (+ (* (* a a) (+ 3 a)) (+ 3 a)) (- (* a a) 1)) (* (* b b) (- 9 (* a a)))))) (* (* 4 (* (+ 3 a) (+ (- 1 a) (* a a)))) (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 860 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* a a) (- 9 (* a a))) (* (- a 1) (- 1 (pow a 4)))) (* (+ (* (* a a) (+ a 3)) (+ a 3)) (* (* (+ (* a a) -1) (* b b)) (- 9 (* a a)))))) (* (* 4 (* (- a 1) (+ 9 (* a (+ a 3))))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (* (* (- a 1) (+ a 3)) (+ (* a a) 1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* a a) (- 9 (* a a))) (* (- a 1) (- 1 (pow a 4)))) (* (+ (* (* a a) (+ a 3)) (+ a 3)) (* (* (+ (* a a) -1) (* b b)) (- 9 (* a a)))))) (* (* 4 (* (- a 1) (+ 9 (* a (+ a 3))))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (* (* (- a 1) (+ a 3)) (+ (* a a) 1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 861 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) -1) (- 9 (* a a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))) (* (* (* (+ a 3) (- a 1)) (+ (* a a) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (- a 1) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a))))) (* (+ (* (* a a) (+ a 3)) (+ a 3)) (* (+ (* a a) -1) (* (* b b) (- 9 (* a a))))))) (* (* 4 (* (+ a 3) (- a 1))) (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* a a) -1) (- 9 (* a a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))) (* (* (* (+ a 3) (- a 1)) (+ (* a a) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (- a 1) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a))))) (* (+ (* (* a a) (+ a 3)) (+ a 3)) (* (+ (* a a) -1) (* (* b b) (- 9 (* a a))))))) (* (* 4 (* (+ a 3) (- a 1))) (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 862 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (- a 1) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a)))) (* (+ (* (* a a) (+ a 3)) (+ a 3)) (* (* b b) (* (+ (* a a) -1) (- 9 (* a a))))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (* (- a 1) (+ a 3)) (+ (* a a) 1)) (* (+ 1 a) (- 27 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (- a 1) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a)))) (* (+ (* (* a a) (+ a 3)) (+ a 3)) (* (* b b) (* (+ (* a a) -1) (- 9 (* a a))))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (* (- a 1) (+ a 3)) (+ (* a a) 1)) (* (+ 1 a) (- 27 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 863 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) 1) (* (+ a 3) (+ a -1))) (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (- 9 (* a a)) (+ 1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (+ a -1) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a))))) (* (+ (* (* a a) (+ a 3)) (+ a 3)) (* (* (+ (* a a) -1) (* b b)) (- 9 (* a a)))))) (* (* 4 (+ a 3)) (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* a a) 1) (* (+ a 3) (+ a -1))) (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (- 9 (* a a)) (+ 1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (+ a -1) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a))))) (* (+ (* (* a a) (+ a 3)) (+ a 3)) (* (* (+ (* a a) -1) (* b b)) (- 9 (* a a)))))) (* (* 4 (+ a 3)) (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 864 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (- a 1) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a)))) (* (+ 3 a) (* (* (+ (* a a) 1) (- (* a a) 1)) (* (* b b) (- 9 (* a a))))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (* (- a 1) (+ 3 a)) (+ (* a a) 1)) (* (- 3 a) (+ (pow a 3) 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (- a 1) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a)))) (* (+ 3 a) (* (* (+ (* a a) 1) (- (* a a) 1)) (* (* b b) (- 9 (* a a))))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (* (- a 1) (+ 3 a)) (+ (* a a) 1)) (* (- 3 a) (+ (pow a 3) 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 865 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (- a 1) (- 1 (* (* a a) (* a a)))) (* (* a a) (- 9 (* a a)))) (* (+ (* (* a a) (+ a 3)) (+ a 3)) (* (* (+ (* a a) -1) (* b b)) (- 9 (* a a)))))) (* (* 4 (- a 1)) (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* a a) (+ a 3)) (+ a 3))) (* (* (- a 1) (* (- 3 a) (+ (* a a) -1))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (- a 1) (- 1 (* (* a a) (* a a)))) (* (* a a) (- 9 (* a a)))) (* (+ (* (* a a) (+ a 3)) (+ a 3)) (* (* (+ (* a a) -1) (* b b)) (- 9 (* a a)))))) (* (* 4 (- a 1)) (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* a a) (+ a 3)) (+ a 3))) (* (* (- a 1) (* (- 3 a) (+ (* a a) -1))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 866 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (- a 1) (- 9 (* a a))) (* (- 1 (pow a 4)) (* a a))) (* (+ (* (* a a) (+ 3 a)) (+ 3 a)) (* (* (+ (* a a) -1) (* b b)) (- 9 (* a a))))) (* (* 4 (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ 3 a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* a a) (+ 3 a)) (+ 3 a))) (* (* (- a 1) (* (- 27 (pow a 3)) (+ (pow a 3) 1))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (- a 1) (- 9 (* a a))) (* (- 1 (pow a 4)) (* a a))) (* (+ (* (* a a) (+ 3 a)) (+ 3 a)) (* (* (+ (* a a) -1) (* b b)) (- 9 (* a a))))) (* (* 4 (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ 3 a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* a a) (+ 3 a)) (+ 3 a))) (* (* (- a 1) (* (- 27 (pow a 3)) (+ (pow a 3) 1))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 867 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (184 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) 1) (* (+ a 3) (- a 1))) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (- a 1) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a)))) (* (+ (* (* a a) (+ a 3)) (+ a 3)) (* (* (+ (* a a) -1) (* b b)) (- 9 (* a a))))) (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (* a a) 1) (* (+ a 3) (- a 1))) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (- a 1) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a)))) (* (+ (* (* a a) (+ a 3)) (+ a 3)) (* (* (+ (* a a) -1) (* b b)) (- 9 (* a a))))) (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 868 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (* (- a 1) (- 9 (* a a))) (* (- 1 (pow a 4)) (* a a))) (* (* (+ (+ a 3) (* (* a a) (+ a 3))) (+ (* a a) -1)) (* (* b b) (- 9 (* a a))))) (* (* 4 (* (- a 1) (+ 9 (* a (+ a 3))))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (* (+ (* a a) 1) (* (+ a 3) (- a 1))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (* (- a 1) (- 9 (* a a))) (* (- 1 (pow a 4)) (* a a))) (* (* (+ (+ a 3) (* (* a a) (+ a 3))) (+ (* a a) -1)) (* (* b b) (- 9 (* a a))))) (* (* 4 (* (- a 1) (+ 9 (* a (+ a 3))))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (* (+ (* a a) 1) (* (+ a 3) (- a 1))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 869 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ a 3) (- a 1)) (+ (* a a) 1)) (* (+ (* a a) -1) (- 9 (* a a)))) (* (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (- a 1) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a))))) (* (* (+ (* (* a a) (+ a 3)) (+ a 3)) (+ (* a a) -1)) (* (* b b) (- 9 (* a a))))) (* (* (* 4 (* (+ a 3) (- a 1))) (- (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (* (+ a 3) (- a 1)) (+ (* a a) 1)) (* (+ (* a a) -1) (- 9 (* a a)))) (* (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (- a 1) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a))))) (* (* (+ (* (* a a) (+ a 3)) (+ a 3)) (+ (* a a) -1)) (* (* b b) (- 9 (* a a))))) (* (* (* 4 (* (+ a 3) (- a 1))) (- (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 870 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (187 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- a 1) (- 9 (* a a))) (* (- 1 (pow a 4)) (* a a))) (* (+ (+ a 3) (* (* a a) (+ a 3))) (* (* (+ (* a a) -1) (* b b)) (- 9 (* a a))))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (* (- 27 (pow a 3)) (+ 1 a)) (* (+ (* a a) 1) (* (+ a 3) (- a 1))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- a 1) (- 9 (* a a))) (* (- 1 (pow a 4)) (* a a))) (* (+ (+ a 3) (* (* a a) (+ a 3))) (* (* (+ (* a a) -1) (* b b)) (- 9 (* a a))))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (* (- 27 (pow a 3)) (+ 1 a)) (* (+ (* a a) 1) (* (+ a 3) (- a 1))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 871 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* a a) (+ a 3)) (+ a 3))) (* (* (+ a -1) (* (- 9 (* a a)) (+ 1 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))) (* (+ (* (+ a -1) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a))))) (* (+ (* a a) -1) (* (* (* b b) (- 9 (* a a))) (+ (* (* a a) (+ a 3)) (+ a 3))))) (* (* (* 4 (+ a 3)) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* a a) (+ a 3)) (+ a 3))) (* (* (+ a -1) (* (- 9 (* a a)) (+ 1 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))) (* (+ (* (+ a -1) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a))))) (* (+ (* a a) -1) (* (* (* b b) (- 9 (* a a))) (+ (* (* a a) (+ a 3)) (+ a 3))))) (* (* (* 4 (+ a 3)) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 872 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (181 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- a 1) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a)))) (* (+ (* (* a a) (+ 3 a)) (+ 3 a)) (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))))) (* (* (* 4 (+ (- 1 a) (* a a))) (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (* (* (- a 1) (+ 3 a)) (+ (* a a) 1)) (* (+ (pow a 3) 1) (- 3 a))) (* (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- a 1) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a)))) (* (+ (* (* a a) (+ 3 a)) (+ 3 a)) (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))))) (* (* (* 4 (+ (- 1 a) (* a a))) (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (* (* (- a 1) (+ 3 a)) (+ (* a a) 1)) (* (+ (pow a 3) 1) (- 3 a))) (* (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 873 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (164 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* (- (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a)))) (* (+ (* a a) -1) (- 3 a)))) (* (* (* (- a 1) (+ a 3)) (+ (* a a) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (+ (* (- a 1) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a))))) (* (+ (* (* a a) (+ a 3)) (+ a 3)) (* (+ (* a a) -1) (* (* b b) (- 9 (* a a)))))) (* (* (* 4 (- a 1)) (- (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* (- (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a)))) (* (+ (* a a) -1) (- 3 a)))) (* (* (* (- a 1) (+ a 3)) (+ (* a a) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (+ (* (- a 1) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a))))) (* (+ (* (* a a) (+ a 3)) (+ a 3)) (* (+ (* a a) -1) (* (* b b) (- 9 (* a a)))))) (* (* (* 4 (- a 1)) (- (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 874 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ a -1) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a)))) (* (+ (+ 3 a) (* (* a a) (+ 3 a))) (* (- (* a a) 1) (* (* b b) (- 9 (* a a)))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ 9 (* a (+ 3 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ (* a a) 1) (* (+ 3 a) (+ a -1))) (* (+ (pow a 3) 1) (- 27 (pow a 3)))) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ a -1) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a)))) (* (+ (+ 3 a) (* (* a a) (+ 3 a))) (* (- (* a a) 1) (* (* b b) (- 9 (* a a)))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ 9 (* a (+ 3 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ (* a a) 1) (* (+ 3 a) (+ a -1))) (* (+ (pow a 3) 1) (- 27 (pow a 3)))) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 875 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ a -1) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a)))) (* (* (+ (* (* a a) (+ 3 a)) (+ 3 a)) (- 9 (* a a))) (* (+ (* a a) -1) (* b b)))) (* (* (* 4 (+ 3 a)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ (* a a) 1) (* (+ 3 a) (+ a -1))) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ a -1) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a)))) (* (* (+ (* (* a a) (+ 3 a)) (+ 3 a)) (- 9 (* a a))) (* (+ (* a a) -1) (* b b)))) (* (* (* 4 (+ 3 a)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ (* a a) 1) (* (+ 3 a) (+ a -1))) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 876 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- a 1) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a)))) (* (* (+ (* (* a a) (+ a 3)) (+ a 3)) (- 9 (* a a))) (* (+ (* a a) -1) (* b b)))) (* (* (* 4 (- a 1)) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3)) (* (* (* (* (- a 1) (+ a 3)) (+ (* a a) 1)) (* (+ (* a a) -1) (- 27 (pow a 3)))) (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- a 1) (- 1 (pow a 4))) (* (* a a) (- 9 (* a a)))) (* (* (+ (* (* a a) (+ a 3)) (+ a 3)) (- 9 (* a a))) (* (+ (* a a) -1) (* b b)))) (* (* (* 4 (- a 1)) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3)) (* (* (* (* (- a 1) (+ a 3)) (+ (* a a) 1)) (* (+ (* a a) -1) (- 27 (pow a 3)))) (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 877 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- a 1) (+ 3 a))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (152 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- a 1) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a))))) (* (+ (* a a) -1) (* (* (* b b) (- 9 (* a a))) (+ (* (* a a) (+ a 3)) (+ a 3))))) (* (* (* 4 (- a 1)) (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (* (+ (* a a) -1) (- 9 (* a a))) (* (+ (* a a) 1) (* (+ a 3) (- a 1))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- a 1) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a))))) (* (+ (* a a) -1) (* (* (* b b) (- 9 (* a a))) (+ (* (* a a) (+ a 3)) (+ a 3))))) (* (* (* 4 (- a 1)) (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (* (+ (* a a) -1) (- 9 (* a a))) (* (+ (* a a) 1) (* (+ a 3) (- a 1))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 878 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (166 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ a -1) (- 9 (* a a))) (* (- 1 (pow a 4)) (* a a))) (* (+ (* (* a a) (+ a 3)) (+ a 3)) (* (* (+ (* a a) -1) (* b b)) (- 9 (* a a))))) (* (+ 36 (* 4 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (* (+ a -1) (+ a 3)) (+ (* a a) 1)) (* (- 27 (pow a 3)) (+ 1 a))) (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ a -1) (- 9 (* a a))) (* (- 1 (pow a 4)) (* a a))) (* (+ (* (* a a) (+ a 3)) (+ a 3)) (* (* (+ (* a a) -1) (* b b)) (- 9 (* a a))))) (* (+ 36 (* 4 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (* (+ a -1) (+ a 3)) (+ (* a a) 1)) (* (- 27 (pow a 3)) (+ 1 a))) (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 879 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (+ 3 a)) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (150 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- a 1) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a))))) (* (* (+ (* a a) -1) (* b b)) (* (- 9 (* a a)) (+ (* (* a a) (+ a 3)) (+ a 3))))) (* (* 4 (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (+ (* a a) 1) (* (+ a 3) (- a 1))) (* (+ 1 a) (- 9 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- a 1) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a))))) (* (* (+ (* a a) -1) (* b b)) (* (- 9 (* a a)) (+ (* (* a a) (+ a 3)) (+ a 3))))) (* (* 4 (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (+ (* a a) 1) (* (+ a 3) (- a 1))) (* (+ 1 a) (- 9 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (+ 3 a))))) 1)) * * * * [misc]progress: [ 880 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (- 3 a) (+ (pow a 3) 1)) (* (+ (* a a) 1) (* (+ 3 a) (- a 1)))))) (* (+ (* (* (- a 1) (- 9 (* a a))) (* (- 1 (pow a 4)) (* a a))) (* (* (+ (* a a) -1) (* b b)) (* (- 9 (* a a)) (+ (* (* a a) (+ 3 a)) (+ 3 a))))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (- 3 a) (+ (pow a 3) 1)) (* (+ (* a a) 1) (* (+ 3 a) (- a 1)))))) (* (+ (* (* (- a 1) (- 9 (* a a))) (* (- 1 (pow a 4)) (* a a))) (* (* (+ (* a a) -1) (* b b)) (* (- 9 (* a a)) (+ (* (* a a) (+ 3 a)) (+ 3 a))))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 881 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (- a 1)) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- a 1) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a))))) (* (* (* (+ (* a a) -1) (* b b)) (+ (* (* a a) (+ a 3)) (+ a 3))) (- 9 (* a a)))) (* (* 4 (- a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (* (+ (* a a) -1) (- 3 a)) (* (* (- a 1) (+ a 3)) (+ (* a a) 1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- a 1) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a))))) (* (* (* (+ (* a a) -1) (* b b)) (+ (* (* a a) (+ a 3)) (+ a 3))) (- 9 (* a a)))) (* (* 4 (- a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (* (+ (* a a) -1) (- 3 a)) (* (* (- a 1) (+ a 3)) (+ (* a a) 1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (- a 1))))) 1)) * * * * [misc]progress: [ 882 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (+ (* (+ -1 a) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a))))) (* (+ (* (* a a) (+ a 3)) (+ a 3)) (* (* (+ (* a a) -1) (* b b)) (- 9 (* a a))))) 4)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* a a) (+ a 3)) (+ a 3))) (* (* (+ -1 a) (* (+ 1 a) (- 3 a))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (+ (* (+ -1 a) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a))))) (* (+ (* (* a a) (+ a 3)) (+ a 3)) (* (* (+ (* a a) -1) (* b b)) (- 9 (* a a))))) 4)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* a a) (+ a 3)) (+ a 3))) (* (* (+ -1 a) (* (+ 1 a) (- 3 a))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 883 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (* (+ 3 a) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (162 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a a) 1) (* (+ a 3) (- a 1)))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))) (* (+ 1 a) (- 3 a)))) (* (+ (* (- a 1) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a))))) (* (+ (* a a) -1) (* (* (* b b) (- 9 (* a a))) (+ (* (* a a) (+ a 3)) (+ a 3))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a a) 1) (* (+ a 3) (- a 1)))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))) (* (+ 1 a) (- 3 a)))) (* (+ (* (- a 1) (* (* (* a a) (- 9 (* a a))) (- 1 (* (* a a) (* a a))))) (* (+ (* a a) -1) (* (* (* b b) (- 9 (* a a))) (+ (* (* a a) (+ a 3)) (+ a 3))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (* (+ 3 a) (+ 1 (* a a))) (- a 1)) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 884 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (233 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 1 (pow a 3))) (* (* b b) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))) (+ 81 (* (* a a) (+ 9 (* a a))))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b))))) (* (* (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (- 1 a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 1 (pow a 3))) (* (* b b) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))) (+ 81 (* (* a a) (+ 9 (* a a))))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b))))) (* (* (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (- 1 a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 885 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (- 1 a) (* a a))))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- 729 (pow (* a a) 3)) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* b b) (+ 1 (pow a 3))))) (* (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (- 1 a) (* a a))))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- 729 (pow (* a a) 3)) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* b b) (+ 1 (pow a 3))))) (* (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 886 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (239 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- 729 (pow (* a a) 3)) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* b b) (+ 1 (pow a 3))))) (* (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (* 4 (* (+ 9 (* a (+ 3 a))) (+ -1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (- 1 a) (* a a))))) (* (* (- 27 (pow a 3)) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- 729 (pow (* a a) 3)) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* b b) (+ 1 (pow a 3))))) (* (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (* 4 (* (+ 9 (* a (+ 3 a))) (+ -1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (- 1 a) (* a a))))) (* (* (- 27 (pow a 3)) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 887 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* b b) (+ 1 (pow a 3)))) (- 729 (pow (* a a) 3))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a))))))) (* (* 4 (* (+ a 3) (- a 1))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) b) (* a a)) (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4))))))) (* (* (* (- 9 (* a a)) (+ (* a a) -1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))) (* (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (- 1 a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* b b) (+ 1 (pow a 3)))) (- 729 (pow (* a a) 3))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a))))))) (* (* 4 (* (+ a 3) (- a 1))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) b) (* a a)) (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4))))))) (* (* (* (- 9 (* a a)) (+ (* a a) -1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))) (* (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (- 1 a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 888 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 1 (pow a 3))) (* (* b b) (- 729 (pow (* a a) 3)))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a))))))) (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (* (+ a 1) (- 27 (pow a 3)))) (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (- 1 a) (* a a))) (+ 81 (* (* a a) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 1 (pow a 3))) (* (* b b) (- 729 (pow (* a a) 3)))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a))))))) (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (* (+ a 1) (- 27 (pow a 3)))) (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (- 1 a) (* a a))) (+ 81 (* (* a a) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 889 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (220 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (- 1 a) (* a a))))) (* (* (+ a 1) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* b b) (+ 1 (pow a 3))) (* (- 729 (pow (* a a) 3)) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (* 4 (+ a 3)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (- 1 a) (* a a))))) (* (* (+ a 1) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* b b) (+ 1 (pow a 3))) (* (- 729 (pow (* a a) 3)) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (* 4 (+ a 3)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 890 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (211 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (* b b) (+ 1 (pow a 3))) (- 729 (pow (* a a) 3))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))) (+ 81 (* (* a a) (+ 9 (* a a))))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b (* b 2))) (- (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (- 1 a) (* a a))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (- 3 a) (+ 1 (pow a 3))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (* b b) (+ 1 (pow a 3))) (- 729 (pow (* a a) 3))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))) (+ 81 (* (* a a) (+ 9 (* a a))))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b (* b 2))) (- (* (* a a) (* b (* b 2))) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (- 1 a) (* a a))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (- 3 a) (+ 1 (pow a 3))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 891 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (* b b) (+ 1 (pow a 3))) (* (- 729 (pow (* a a) 3)) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a))))))) (* (* 4 (+ a -1)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (- 1 a) (* a a))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (- 3 a) (- (* a a) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (* b b) (+ 1 (pow a 3))) (* (- 729 (pow (* a a) 3)) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a))))))) (* (* 4 (+ a -1)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (- 1 a) (* a a))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (- 3 a) (- (* a a) 1))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 892 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (225 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4))) (* (- (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))) (* (- 27 (pow a 3)) (+ 1 (pow a 3))))) (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (- 1 a) (* a a))) (+ 81 (* (* a a) (+ 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a a) (* (* b 2) b)) 3)))) (* (+ (* (* (* (* b b) (+ 1 (pow a 3))) (- 729 (pow (* a a) 3))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (* (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (* (- (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))) (* (+ (- 1 a) (* a a)) (+ (* a (+ a 3)) 9))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a a) (* (* b 2) b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* a a) (* (* b 2) b)) (+ (pow b 4) (pow a 4))) (* (- (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))) (* (- 27 (pow a 3)) (+ 1 (pow a 3))))) (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (- 1 a) (* a a))) (+ 81 (* (* a a) (+ 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a a) (* (* b 2) b)) 3)))) (* (+ (* (* (* (* b b) (+ 1 (pow a 3))) (- 729 (pow (* a a) 3))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (* (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (* (- (+ (pow b 4) (pow a 4)) (* (* a a) (* (* b 2) b))) (* (+ (- 1 a) (* a a)) (+ (* a (+ a 3)) 9))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* a a) (* (* b 2) b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 893 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (- 1 a) (* a a))) (+ 81 (* (+ (* a a) 9) (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a))))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* b b) (+ 1 (pow a 3))) (* (- 729 (pow (* a a) 3)) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (+ 81 (* (+ (* a a) 9) (* a a))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))))) (* (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (- 1 a) (* a a))) (+ 81 (* (+ (* a a) 9) (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a))))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* b b) (+ 1 (pow a 3))) (* (- 729 (pow (* a a) 3)) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (+ 81 (* (+ (* a a) 9) (* a a))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))))) (* (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 894 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (232 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (* (* b b) (+ 1 (pow a 3))) (- 729 (pow (* a a) 3))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))))) (* (* 4 (* (+ a -1) (+ 9 (* a (+ a 3))))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) (* (* (- 27 (pow a 3)) (- (* a a) 1)) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (- 1 a) (* a a))) (+ 81 (* (* a a) (+ (* a a) 9))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (* (* (* b b) (+ 1 (pow a 3))) (- 729 (pow (* a a) 3))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))))) (* (* 4 (* (+ a -1) (+ 9 (* a (+ a 3))))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) (* (* (- 27 (pow a 3)) (- (* a a) 1)) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (- 1 a) (* a a))) (+ 81 (* (* a a) (+ (* a a) 9))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 895 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (220 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (- 1 a) (* a a))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* (* b 2) b)) (* (* a a) (* (* b 2) b)))) (* (- (* a a) 1) (- 9 (* a a))))) (* (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- 729 (pow (* a a) 3))) (* (* b b) (+ 1 (pow a 3)))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))))) (* (* (* 4 (* (+ a 3) (+ a -1))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (- 1 a) (* a a))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* (* b 2) b)) (* (* a a) (* (* b 2) b)))) (* (- (* a a) 1) (- 9 (* a a))))) (* (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- 729 (pow (* a a) 3))) (* (* b b) (+ 1 (pow a 3)))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))))) (* (* (* 4 (* (+ a 3) (+ a -1))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 896 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (223 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (- 1 a) (* a a))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (+ (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (- (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)) (* (+ a 1) (- 27 (pow a 3)))))) (* (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- 729 (pow (* a a) 3))) (* (* b b) (+ 1 (pow a 3)))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (- (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (- 1 a) (* a a))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (+ (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (- (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)) (* (+ a 1) (- 27 (pow a 3)))))) (* (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- 729 (pow (* a a) 3))) (* (* b b) (+ 1 (pow a 3)))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (- (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 897 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (- 9 (* a a)) (+ a 1))) (* (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (- 1 a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (+ (* (* (* b b) (+ 1 (pow a 3))) (* (- 729 (pow (* a a) 3)) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (- 9 (* a a)) (+ a 1))) (* (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (- 1 a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (+ (* (* (* b b) (+ 1 (pow a 3))) (* (- 729 (pow (* a a) 3)) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 898 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (203 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* b b) (+ 1 (pow a 3))) (* (- 729 (pow (* a a) 3)) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (- 3 a) (+ 1 (pow a 3))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))) (* (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (- 1 a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* b b) (+ 1 (pow a 3))) (* (- 729 (pow (* a a) 3)) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (- 3 a) (+ 1 (pow a 3))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))) (* (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (- 1 a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 899 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 729 (pow (* a a) 3)) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* b b) (+ 1 (pow a 3))))) (* (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* 4 (+ a -1)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (- 1 a) (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a)))))) (* (* (- 3 a) (- (* a a) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 729 (pow (* a a) 3)) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* b b) (+ 1 (pow a 3))))) (* (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* 4 (+ a -1)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (- 1 a) (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a)))))) (* (* (- 3 a) (- (* a a) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 900 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 729 (pow (* a a) 3)) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* b b) (+ 1 (pow a 3))))) (* (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (- 1 a) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 729 (pow (* a a) 3)) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* b b) (+ 1 (pow a 3))))) (* (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (- 1 a) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 901 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (- 1 a) (* a a))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (* (* b b) (+ 1 (pow a 3))) (- 729 (pow (* a a) 3))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (* (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* b (* b 2)))) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (- 1 a) (* a a))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (* (* b b) (+ 1 (pow a 3))) (- 729 (pow (* a a) 3))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (* (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 902 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (- (* a a) 1) (- 27 (pow a 3)))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (- 1 a) (* a a))) (+ 81 (* (* a a) (+ (* a a) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (* b b) (+ 1 (pow a 3))) (* (- 729 (pow (* a a) 3)) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* 4 (+ -1 a)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (- (* a a) 1) (- 27 (pow a 3)))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (- 1 a) (* a a))) (+ 81 (* (* a a) (+ (* a a) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (* b b) (+ 1 (pow a 3))) (* (- 729 (pow (* a a) 3)) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* 4 (+ -1 a)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 903 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ 3 a))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* b b) (+ 1 (pow a 3)))) (- 729 (pow (* a a) 3))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))))) (* (* (* 4 (+ a 3)) (+ a -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (- 9 (* a a)) (- (* a a) 1)) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (- 1 a) (* a a))) (+ 81 (* (* a a) (+ (* a a) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* b b) (+ 1 (pow a 3)))) (- 729 (pow (* a a) 3))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))))) (* (* (* 4 (+ a 3)) (+ a -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (- 9 (* a a)) (- (* a a) 1)) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (- 1 a) (* a a))) (+ 81 (* (* a a) (+ (* a a) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 904 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 1 (pow a 3))) (* (* b b) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (+ (* (* a (+ a 3)) 4) 36) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (- 1 a) (* a a)))) (* (* (+ a 1) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 1 (pow a 3))) (* (* b b) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (+ (* (* a (+ a 3)) 4) 36) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (- 1 a) (* a a)))) (* (* (+ a 1) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 905 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ 3 a)) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (- 1 a) (* a a))) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (+ a 1) (- 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (- 729 (pow (* a a) 3)) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3))))) (* (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* 4 (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (- 1 a) (* a a))) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (+ a 1) (- 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (- 729 (pow (* a a) 3)) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3))))) (* (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* 4 (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 906 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (182 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (+ (- 1 a) (* a a)) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (* (- 3 a) (+ 1 (pow a 3)))))) (* (+ (* (* (* (* b b) (+ 1 (pow a 3))) (- 729 (pow (* a a) 3))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (+ (- 1 a) (* a a)) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (* (- 3 a) (+ 1 (pow a 3)))))) (* (+ (* (* (* (* b b) (+ 1 (pow a 3))) (- 729 (pow (* a a) 3))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 907 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- a 1)) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (- 1 a) (* a a))) (* (+ 81 (* (+ (* a a) 9) (* a a))) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))))) (* (* (- 3 a) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (- 729 (pow (* a a) 3)) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3))))) (* (+ 81 (* (+ (* a a) 9) (* a a))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))))) (* (+ (* 4 a) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (- 1 a) (* a a))) (* (+ 81 (* (+ (* a a) 9) (* a a))) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))))) (* (* (- 3 a) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (- 729 (pow (* a a) 3)) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* b b) (+ 1 (pow a 3))))) (* (+ 81 (* (+ (* a a) 9) (* a a))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))))) (* (+ (* 4 a) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (- a 1))))) 1)) * * * * [misc]progress: [ 908 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- 729 (pow (* a a) 3)) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* b b) (+ 1 (pow a 3))))) (* (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) 4) (* (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (* (- 3 a) (+ a 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))) (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (- 1 a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- 729 (pow (* a a) 3)) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* b b) (+ 1 (pow a 3))))) (* (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) 4) (* (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (* (- 3 a) (+ a 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))) (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (- 1 a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 909 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (- 1 a) (* a a))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (+ a 1) (- 3 a)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (* (* (* b b) (+ 1 (pow a 3))) (- 729 (pow (* a a) 3))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))))) (* (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (- 1 a) (* a a))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (+ a 1) (- 3 a)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (* (* (* b b) (+ 1 (pow a 3))) (- 729 (pow (* a a) 3))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))))) (* (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 910 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (223 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 27 (pow a 3)) (+ (pow a 3) 1)) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (* (+ (- 1 a) (* a a)) (+ 9 (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (pow a 3) 1))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (+ (- 1 a) (* a a)) (+ 9 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3)))))) (* (* 4 (* (+ (* (+ a 3) a) 9) (+ (- 1 a) (* a a)))) (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 27 (pow a 3)) (+ (pow a 3) 1)) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (* (+ (- 1 a) (* a a)) (+ 9 (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (pow a 3) 1))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (+ (- 1 a) (* a a)) (+ 9 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3)))))) (* (* 4 (* (+ (* (+ a 3) a) 9) (+ (- 1 a) (* a a)))) (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 911 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (- 9 (* a a)) (+ (pow a 3) 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (pow a 3) 1))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3)))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (- 9 (* a a)) (+ (pow a 3) 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (pow a 3) 1))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3)))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 912 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (230 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- 27 (pow a 3)) (+ (* a a) -1)) (* (* (+ (* a a) 9) (+ (- 1 a) (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (pow a 3) 1)) (* (* b b) (- 81 (* (* a a) (* a a))))) (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (* (+ (* a a) 9) (+ (- 1 a) (* a a))))))) (* (* 4 (* (+ -1 a) (+ 9 (* a (+ a 3))))) (+ (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- 27 (pow a 3)) (+ (* a a) -1)) (* (* (+ (* a a) 9) (+ (- 1 a) (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (pow a 3) 1)) (* (* b b) (- 81 (* (* a a) (* a a))))) (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (* (+ (* a a) 9) (+ (- 1 a) (* a a))))))) (* (* 4 (* (+ -1 a) (+ 9 (* a (+ a 3))))) (+ (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 913 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (219 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- (* a a) 1) (- 9 (* a a)))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (pow a 3) 1))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3)))))) (* (* 4 (* (+ -1 a) (+ a 3))) (+ (* (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- (* a a) 1) (- 9 (* a a)))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (pow a 3) 1))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3)))))) (* (* 4 (* (+ -1 a) (+ a 3))) (+ (* (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 914 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ a 1) (- 27 (pow a 3))) (* (* (+ (* a a) 9) (+ (- 1 a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* b b) (+ (pow a 3) 1)) (* (- 81 (* (* a a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (* a a) 9) (+ (- 1 a) (* a a))) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3)))))) (* (* 4 (+ (* (+ a 3) a) 9)) (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ a 1) (- 27 (pow a 3))) (* (* (+ (* a a) 9) (+ (- 1 a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* b b) (+ (pow a 3) 1)) (* (- 81 (* (* a a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (* a a) 9) (+ (- 1 a) (* a a))) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3)))))) (* (* 4 (+ (* (+ a 3) a) 9)) (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 915 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- 9 (* a a)) (+ a 1))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (pow a 3) 1))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (* (+ 9 (* a a)) (+ (- 1 a) (* a a))))))) (* (* 4 (+ a 3)) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- 9 (* a a)) (+ a 1))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (pow a 3) 1))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (* (+ 9 (* a a)) (+ (- 1 a) (* a a))))))) (* (* 4 (+ a 3)) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 916 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (201 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* 2 a))) 3)) (* (* (- 3 a) (+ (pow a 3) 1)) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* 2 a))) 3))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* 2 a))) 3)) (+ (* (- 81 (* (* a a) (* a a))) (* (* (* b b) (+ (pow a 3) 1)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ (- 1 a) (* a a))))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* 2 a))) 3)) (* (* (- 3 a) (+ (pow a 3) 1)) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* 2 a))) 3))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* 2 a))) 3)) (+ (* (- 81 (* (* a a) (* a a))) (* (* (* b b) (+ (pow a 3) 1)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ (- 1 a) (* a a))))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 917 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (pow a 3) 1)) (* (* b b) (- 81 (* (* a a) (* a a))))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3)))))) (* (* 4 (+ a -1)) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 3 a) (+ (* a a) -1))) (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (pow a 3) 1)) (* (* b b) (- 81 (* (* a a) (* a a))))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3)))))) (* (* 4 (+ a -1)) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 3 a) (+ (* a a) -1))) (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 918 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (* (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (* (- 27 (pow a 3)) (+ (pow a 3) 1)) (* (* (+ (- 1 a) (* a a)) (+ 9 (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (pow a 3) 1)) (* (* b b) (- 81 (* (* a a) (* a a))))) (* (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ (- 1 a) (* a a)))) (+ (* a a) 9))) (* (* 4 (* (+ 9 (* a (+ 3 a))) (+ (- 1 a) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (* (- 27 (pow a 3)) (+ (pow a 3) 1)) (* (* (+ (- 1 a) (* a a)) (+ 9 (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (pow a 3) 1)) (* (* b b) (- 81 (* (* a a) (* a a))))) (* (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ (- 1 a) (* a a)))) (+ (* a a) 9))) (* (* 4 (* (+ 9 (* a (+ 3 a))) (+ (- 1 a) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 919 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (pow a 3) 1))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ (- 1 a) (* a a)))) (+ 9 (* a a)))) (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)))) (* (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (pow a 3) 1))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ (- 1 a) (* a a)))) (+ 9 (* a a)))) (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)))) (* (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 920 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (* (+ (* a a) 9) (+ (- 1 a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (+ (* a a) -1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (* (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* (+ a -1) (+ 9 (* a (+ a 3))))) 4) (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (pow a 3) 1))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (* (+ (* a a) 9) (+ (- 1 a) (* a a))) (- 1 (pow (* a a) 3))) (* (- 3 a) (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (* (+ (* a a) 9) (+ (- 1 a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (+ (* a a) -1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (* (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* (+ a -1) (+ 9 (* a (+ a 3))))) 4) (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (pow a 3) 1))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (* (+ (* a a) 9) (+ (- 1 a) (* a a))) (- 1 (pow (* a a) 3))) (* (- 3 a) (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 921 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (pow a 3) 1)) (* (* b b) (- 81 (* (* a a) (* a a))))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3))))) (* (* (* 4 (* (+ a 3) (+ -1 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- (* a a) 1) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (pow a 3) 1)) (* (* b b) (- 81 (* (* a a) (* a a))))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3))))) (* (* (* 4 (* (+ a 3) (+ -1 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- (* a a) 1) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 922 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (213 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* b b) (+ (pow a 3) 1)) (* (- 81 (* (* a a) (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ (- 1 a) (* a a)))) (+ (* a a) 9))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* a a) (* b b))) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* a a) (* b b))) 3)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (* (+ (* a a) 9) (+ (- 1 a) (* a a))) (* (- 27 (pow a 3)) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* b b) (+ (pow a 3) 1)) (* (- 81 (* (* a a) (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ (- 1 a) (* a a)))) (+ (* a a) 9))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* a a) (* b b))) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* a a) (* b b))) 3)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (* (+ (* a a) 9) (+ (- 1 a) (* a a))) (* (- 27 (pow a 3)) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 923 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (* (- 9 (* a a)) (+ a 1)) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))) (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (pow a 3) 1))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3))))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (* (- 9 (* a a)) (+ a 1)) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))) (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (pow a 3) 1))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3))))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 924 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (- 3 a) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (pow a 3) 1))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (- 3 a) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (pow a 3) 1))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 925 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (- 3 a) (+ (* a a) -1)))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (pow a 3) 1)) (* (* b b) (- 81 (* (* a a) (* a a))))) (* (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ (- 1 a) (* a a)))) (+ 9 (* a a)))) (* (* (* 4 (+ -1 a)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (- 3 a) (+ (* a a) -1)))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (pow a 3) 1)) (* (* b b) (- 81 (* (* a a) (* a a))))) (* (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ (- 1 a) (* a a)))) (+ 9 (* a a)))) (* (* (* 4 (+ -1 a)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 926 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- 81 (* (* a a) (* a a)))) (* (* b b) (+ (pow a 3) 1))) (* (* (+ (* a a) 9) (+ (- 1 a) (* a a))) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (* (+ (* a a) 9) (+ (- 1 a) (* a a))) (* (+ (pow a 3) 1) (- 27 (pow a 3)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- 81 (* (* a a) (* a a)))) (* (* b b) (+ (pow a 3) 1))) (* (* (+ (* a a) 9) (+ (- 1 a) (* a a))) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (* (+ (* a a) 9) (+ (- 1 a) (* a a))) (* (+ (pow a 3) 1) (- 27 (pow a 3)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 927 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (+ (pow a 3) 1) (- 9 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (pow a 3) 1)) (* (* b b) (- 81 (* (* a a) (* a a))))) (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (* (+ 9 (* a a)) (+ (- 1 a) (* a a)))))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (+ (pow a 3) 1) (- 9 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (pow a 3) 1)) (* (* b b) (- 81 (* (* a a) (* a a))))) (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (* (+ 9 (* a a)) (+ (- 1 a) (* a a)))))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 928 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) 9) (+ (- 1 a) (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (* (- 27 (pow a 3)) (+ (* a a) -1)) (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- 81 (* (* a a) (* a a)))) (* (* b b) (+ (pow a 3) 1))) (* (* (+ (* a a) 9) (+ (- 1 a) (* a a))) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3))))) (* (* (* 4 (+ a -1)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* a a) 9) (+ (- 1 a) (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (* (- 27 (pow a 3)) (+ (* a a) -1)) (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- 81 (* (* a a) (* a a)))) (* (* b b) (+ (pow a 3) 1))) (* (* (+ (* a a) 9) (+ (- 1 a) (* a a))) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3))))) (* (* (* 4 (+ a -1)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 929 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ 3 a))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* b b) (+ (pow a 3) 1)) (* (- 81 (* (* a a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3))))) (* (* (* (+ a -1) (+ a 3)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (* (+ (* a a) -1) (- 9 (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* b b) (+ (pow a 3) 1)) (* (- 81 (* (* a a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3))))) (* (* (* (+ a -1) (+ a 3)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (* (+ (* a a) -1) (- 9 (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 930 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (pow a 3) 1))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (+ (* a a) 9) (+ (- 1 a) (* a a))) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3))))) (* (+ (* 4 (* a (+ a 3))) 36) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (* (* (+ (* a a) 9) (+ (- 1 a) (* a a))) (* (+ a 1) (- 27 (pow a 3)))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (pow a 3) 1))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (+ (* a a) 9) (+ (- 1 a) (* a a))) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3))))) (* (+ (* 4 (* a (+ a 3))) 36) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (* (* (+ (* a a) 9) (+ (- 1 a) (* a a))) (* (+ a 1) (- 27 (pow a 3)))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 931 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ 3 a)) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (181 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (+ a 1) (- 9 (* a a)))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (pow a 3) 1))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (- 3 a) (* a a))) (- 1 (pow (* a a) 3)))) (* (* 4 (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (+ a 1) (- 9 (* a a)))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (pow a 3) 1))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (- 3 a) (* a a))) (- 1 (pow (* a a) 3)))) (* (* 4 (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 932 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* b b) (+ (pow a 3) 1)) (* (- 81 (* (* a a) (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (- 3 a) (* a a))) (- 1 (pow (* a a) 3)))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (- 3 a) (+ (pow a 3) 1))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* b b) (+ (pow a 3) 1)) (* (- 81 (* (* a a) (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (- 3 a) (* a a))) (- 1 (pow (* a a) 3)))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (- 3 a) (+ (pow a 3) 1))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 933 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- a 1)) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* a a) 1) (- 3 a)) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* b b) (+ (pow a 3) 1)) (* (- 81 (* (* a a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3))))) (* (+ (* a 4) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (* a a) 1) (- 3 a)) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* b b) (+ (pow a 3) 1)) (* (- 81 (* (* a a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3))))) (* (+ (* a 4) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (- a 1))))) 1)) * * * * [misc]progress: [ 934 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (* (* (* a a) (* b b)) 2) 3) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (+ a 1) (- 3 a)) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3))) (* (* (+ (* (* (* b b) (+ (pow a 3) 1)) (* (- 81 (* (* a a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3))))) 4) (* (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (* (* (* a a) (* b b)) 2) 3) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (+ a 1) (- 3 a)) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3))) (* (* (+ (* (* (* b b) (+ (pow a 3) 1)) (* (- 81 (* (* a a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3))))) 4) (* (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 935 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a))) (* (+ a 1) (- 3 a))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (pow a 3) 1))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3))))) (* (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a))) (* (+ a 1) (- 3 a))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (pow a 3) 1))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3))))) (* (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 936 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (- 729 (pow (* a a) 3)) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ -1 a)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3))))) (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ -1 a)))) (* (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 27 (pow a 3)) (+ (pow a 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (- 729 (pow (* a a) 3)) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ -1 a)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3))))) (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ -1 a)))) (* (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 27 (pow a 3)) (+ (pow a 3) 1))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 937 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a -1)) (+ (* (* a a) (+ (* a a) 9)) 81))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) 1)) (* (* b b) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ a -1))) (+ (* (* a a) (+ (* a a) 9)) 81)))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ a 3))) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a -1)) (+ (* (* a a) (+ (* a a) 9)) 81))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) 1)) (* (* b b) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ a -1))) (+ (* (* a a) (+ (* a a) 9)) 81)))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ a 3))) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 938 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (230 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- 729 (pow (* a a) 3)) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (- a 1)))))) (* (* 4 (* (- a 1) (+ 9 (* a (+ a 3))))) (+ (* (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) b) (* a a))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- a 1))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (- 27 (pow a 3)) (- (* a a) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- 729 (pow (* a a) 3)) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (- a 1)))))) (* (* 4 (* (- a 1) (+ 9 (* a (+ a 3))))) (+ (* (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) b) (* a a))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- a 1))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (- 27 (pow a 3)) (- (* a a) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 939 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (217 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ -1 a)) (+ (* (* a a) (+ (* a a) 9)) 81))) (* (* (- 9 (* a a)) (- (* a a) 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* b b) (- (* a a) 1))) (- 729 (pow (* a a) 3))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ -1 a)))))) (* (* 4 (* (+ a 3) (+ -1 a))) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ -1 a)) (+ (* (* a a) (+ (* a a) 9)) 81))) (* (* (- 9 (* a a)) (- (* a a) 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* b b) (- (* a a) 1))) (- 729 (pow (* a a) 3))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ -1 a)))))) (* (* 4 (* (+ a 3) (+ -1 a))) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 940 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (228 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- 729 (pow (* a a) 3))) (* (* b b) (- (* a a) 1))) (* (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ a -1))) (+ (* (* a a) (+ 9 (* a a))) 81)))) (* (* 4 (+ (* a (+ 3 a)) 9)) (+ (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a -1)))) (* (* (- 27 (pow a 3)) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- 729 (pow (* a a) 3))) (* (* b b) (- (* a a) 1))) (* (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ a -1))) (+ (* (* a a) (+ 9 (* a a))) 81)))) (* (* 4 (+ (* a (+ 3 a)) 9)) (+ (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a -1)))) (* (* (- 27 (pow a 3)) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 941 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a -1)) (+ (* (+ 9 (* a a)) (* a a)) 81))) (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 9 (* a a)) (+ a 1)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) 1)) (* (* b b) (- 729 (pow (* a a) 3)))) (* (+ (* (+ 9 (* a a)) (* a a)) 81) (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ a -1)))))) (* (* 4 (+ a 3)) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a -1)) (+ (* (+ 9 (* a a)) (* a a)) 81))) (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 9 (* a a)) (+ a 1)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) 1)) (* (* b b) (- 729 (pow (* a a) 3)))) (* (+ (* (+ 9 (* a a)) (* a a)) 81) (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ a -1)))))) (* (* 4 (+ a 3)) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 942 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (218 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ -1 a)) (+ (* (+ 9 (* a a)) (* a a)) 81)) (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (- 3 a) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- (* a a) 1)) (* (* b b) (- 729 (pow (* a a) 3)))) (* (+ (* (+ 9 (* a a)) (* a a)) 81) (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ -1 a)))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ -1 a)) (+ (* (+ 9 (* a a)) (* a a)) 81)) (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (- 3 a) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- (* a a) 1)) (* (* b b) (- 729 (pow (* a a) 3)))) (* (+ (* (+ 9 (* a a)) (* a a)) 81) (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ -1 a)))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 943 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- 729 (* (pow a 3) (pow a 3)))) (* (* b b) (- (* a a) 1))) (* (+ (* (+ 9 (* a a)) (* a a)) 81) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ -1 a)))))) (* (* 4 (+ -1 a)) (+ (* (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) b) (* a a))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (- 3 a) (- (* a a) 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (+ (* (+ 9 (* a a)) (* a a)) 81) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ -1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- 729 (* (pow a 3) (pow a 3)))) (* (* b b) (- (* a a) 1))) (* (+ (* (+ 9 (* a a)) (* a a)) 81) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ -1 a)))))) (* (* 4 (+ -1 a)) (+ (* (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) b) (* a a))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (- 3 a) (- (* a a) 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (+ (* (+ 9 (* a a)) (* a a)) 81) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ -1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 944 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (* (+ (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ -1 a))))) (* (* (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- (* a a) 1)) (* (* b b) (- 729 (pow (* a a) 3)))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ -1 a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ -1 a))))) (* (* (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- (* a a) 1)) (* (* b b) (- 729 (pow (* a a) 3)))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ -1 a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 945 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (220 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b)))))) (* (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ -1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* b b) (+ (* a a) -1))) (- 729 (pow (* a a) 3))) (* (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ -1 a))) (+ (* (* a a) (+ (* a a) 9)) 81))) (* (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b)))))) (* (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ -1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* b b) (+ (* a a) -1))) (- 729 (pow (* a a) 3))) (* (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ -1 a))) (+ (* (* a a) (+ (* a a) 9)) 81))) (* (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 946 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* 4 (* (+ a -1) (+ 9 (* a (+ a 3))))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- (* a a) 1)) (* (* b b) (- 729 (pow (* a a) 3)))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ a -1)))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (- (* a a) 1) (- 27 (pow a 3)))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ a -1))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* 4 (* (+ a -1) (+ 9 (* a (+ a 3))))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- (* a a) 1)) (* (* b b) (- 729 (pow (* a a) 3)))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ a -1)))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (- (* a a) 1) (- 27 (pow a 3)))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ a -1))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 947 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (- 9 (* a a)) (+ (* a a) -1))) (* (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ -1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (* a a) -1)) (* (* b b) (- 729 (* (pow a 3) (pow a 3))))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ -1 a))))) (* (* (* 4 (* (+ a 3) (+ -1 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (- 9 (* a a)) (+ (* a a) -1))) (* (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ -1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (* a a) -1)) (* (* b b) (- 729 (* (pow a 3) (pow a 3))))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ -1 a))))) (* (* (* 4 (* (+ a 3) (+ -1 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 948 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (220 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- 729 (pow (* a a) 3))) (* (* b b) (+ (* a a) -1))) (* (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ -1 a))) (+ (* (* a a) (+ 9 (* a a))) 81))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (* (- 27 (pow a 3)) (+ a 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b)))))) (* (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ -1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- 729 (pow (* a a) 3))) (* (* b b) (+ (* a a) -1))) (* (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ -1 a))) (+ (* (* a a) (+ 9 (* a a))) 81))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (* (- 27 (pow a 3)) (+ a 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b)))))) (* (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ -1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 949 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a -1)) (+ 81 (* (+ 9 (* a a)) (* a a))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (- 9 (* a a)) (+ a 1)))) (* (+ (* (* (* b b) (+ (* a a) -1)) (* (- 729 (* (pow a 3) (pow a 3))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ a -1))) (+ 81 (* (+ 9 (* a a)) (* a a))))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a -1)) (+ 81 (* (+ 9 (* a a)) (* a a))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (- 9 (* a a)) (+ a 1)))) (* (+ (* (* (* b b) (+ (* a a) -1)) (* (- 729 (* (pow a 3) (pow a 3))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ a -1))) (+ 81 (* (+ 9 (* a a)) (* a a))))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 950 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ -1 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))) (* (* (- 3 a) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (+ (* (* (* b b) (+ (* a a) -1)) (* (- 729 (* (pow a 3) (pow a 3))) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ -1 a))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ -1 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))) (* (* (- 3 a) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (+ (* (* (* b b) (+ (* a a) -1)) (* (- 729 (* (pow a 3) (pow a 3))) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ -1 a))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 951 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 3 a) (- (* a a) 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))) (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ -1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (- 729 (pow (* a a) 3)) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* b b) (- (* a a) 1)))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ -1 a))))) (* (* (* 4 (+ -1 a)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 3 a) (- (* a a) 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))) (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ -1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (- 729 (pow (* a a) 3)) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* b b) (- (* a a) 1)))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ -1 a))))) (* (* (* 4 (+ -1 a)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 952 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* b b) (- (* a a) 1)) (* (- 729 (* (pow a 3) (pow a 3))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ a -1))) (+ (* (+ 9 (* a a)) (* a a)) 81))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ 9 (* a (+ 3 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (+ (pow a 3) 1) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a -1)) (+ (* (+ 9 (* a a)) (* a a)) 81))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* b b) (- (* a a) 1)) (* (- 729 (* (pow a 3) (pow a 3))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ a -1))) (+ (* (+ 9 (* a a)) (* a a)) 81))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ 9 (* a (+ 3 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (+ (pow a 3) 1) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a -1)) (+ (* (+ 9 (* a a)) (* a a)) 81))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 953 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a a) -1)) (* (* b b) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ a -1))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a -1)) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a a) -1)) (* (* b b) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ a -1))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a -1)) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 954 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (201 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* b b) (- (* a a) 1)) (* (- 729 (* (pow a 3) (pow a 3))) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ a -1))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (* 4 (+ a -1)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (- 27 (pow a 3)) (- (* a a) 1))) (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ a -1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* b b) (- (* a a) 1)) (* (- 729 (* (pow a 3) (pow a 3))) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ a -1))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (* 4 (+ a -1)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (- 27 (pow a 3)) (- (* a a) 1))) (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ a -1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 955 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ 3 a))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (188 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a a) -1)) (* (* b b) (- 729 (pow (* a a) 3)))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (- a 1))))) (* (* (* (+ a 3) (- a 1)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- a 1)) (+ (* (* a a) (+ 9 (* a a))) 81)) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (* a a) -1) (- 9 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a a) -1)) (* (* b b) (- 729 (pow (* a a) 3)))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (- a 1))))) (* (* (* (+ a 3) (- a 1)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- a 1)) (+ (* (* a a) (+ 9 (* a a))) 81)) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (+ (* a a) -1) (- 9 (* a a))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 956 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* b b) (- (* a a) 1)) (* (- 729 (* (pow a 3) (pow a 3))) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ -1 a))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (+ (* 4 (* a (+ a 3))) 36) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* (+ a 1) (- 27 (pow a 3)))) (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ -1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* b b) (- (* a a) 1)) (* (- 729 (* (pow a 3) (pow a 3))) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ -1 a))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (+ (* 4 (* a (+ a 3))) 36) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* (+ a 1) (- 27 (pow a 3)))) (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ -1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 957 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ 3 a)) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) 1)) (* (* b b) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ a -1))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (+ (* 4 a) 12) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (+ a 1) (- 9 (* a a)))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a -1)) (+ 81 (* (* a a) (+ 9 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) 1)) (* (* b b) (- 729 (pow (* a a) 3)))) (* (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ a -1))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (+ (* 4 a) 12) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (+ a 1) (- 9 (* a a)))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a -1)) (+ 81 (* (* a a) (+ 9 (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 958 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (188 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ (* a a) -1))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (* (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ a -1))) (+ (* (* a a) (+ (* a a) 9)) 81))) (* (* (+ (* a a) (- 1 a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a))) (* (- 3 a) (+ (pow a 3) 1))) (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ a -1)) (+ (* (* a a) (+ (* a a) 9)) 81)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ (* a a) -1))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (* (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ a -1))) (+ (* (* a a) (+ (* a a) 9)) 81))) (* (* (+ (* a a) (- 1 a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a))) (* (- 3 a) (+ (pow a 3) 1))) (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ a -1)) (+ (* (* a a) (+ (* a a) 9)) 81)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 959 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- a 1)) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (* a a) -1)) (* (* b b) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ -1 a))) (+ (* (* a a) (+ 9 (* a a))) 81))) (* (* 4 (+ -1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* (- 3 a) (+ (* a a) -1))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ -1 a)) (+ (* (* a a) (+ 9 (* a a))) 81))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ (* a a) -1)) (* (* b b) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ -1 a))) (+ (* (* a a) (+ 9 (* a a))) 81))) (* (* 4 (+ -1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* (- 3 a) (+ (* a a) -1))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ -1 a)) (+ (* (* a a) (+ 9 (* a a))) 81))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (- a 1))))) 1)) * * * * [misc]progress: [ 960 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- (* a a) 1)) (* (* b b) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ -1 a))) (+ 81 (* (* a a) (+ (* a a) 9))))) 4)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ -1 a)))) (* (* (+ a 1) (- 3 a)) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- (* a a) 1)) (* (* b b) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ -1 a))) (+ 81 (* (* a a) (+ (* a a) 9))))) 4)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ -1 a)))) (* (* (+ a 1) (- 3 a)) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 961 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- 729 (pow (* a a) 3))) (* (* b b) (+ (* a a) -1))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ -1 a))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a))))) (* (+ a 1) (- 3 a))) (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ -1 a)) (+ 81 (* (* a a) (+ 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- 729 (pow (* a a) 3))) (* (* b b) (+ (* a a) -1))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ -1 a))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a))))) (* (+ a 1) (- 3 a))) (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ -1 a)) (+ 81 (* (* a a) (+ 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 962 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) 1)) (* (* b b) (- 81 (* (* a a) (* a a))))) (* (* (* (+ (* a a) 9) (+ -1 a)) (* (- 3 a) (* a a))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ 3 a))))) (+ (* (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) b) (* a a))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (+ (* a a) 9) (+ -1 a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) 1)) (* (* b b) (- 81 (* (* a a) (* a a))))) (* (* (* (+ (* a a) 9) (+ -1 a)) (* (- 3 a) (* a a))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ 3 a))))) (+ (* (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) b) (* a a))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (+ (* a a) 9) (+ -1 a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 963 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (218 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- 81 (* (* a a) (* a a)))) (* (- (* a a) 1) (* b b))) (* (* (* (+ (* a a) 9) (+ -1 a)) (- 1 (* (pow a 3) (pow a 3)))) (* (- 3 a) (* a a))))) (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* (- (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))) (* (* b (* b 2)) (* a a))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (* (* (* (+ (* a a) 9) (+ -1 a)) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- 81 (* (* a a) (* a a)))) (* (- (* a a) 1) (* b b))) (* (* (* (+ (* a a) 9) (+ -1 a)) (- 1 (* (pow a 3) (pow a 3)))) (* (- 3 a) (* a a))))) (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* (- (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))) (* (* b (* b 2)) (* a a))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (* (* (* (+ (* a a) 9) (+ -1 a)) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 964 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (220 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* (- (* a a) 1) (* b b)) (- 81 (* (* a a) (* a a))))) (* (* (* (+ -1 a) (+ 9 (* a a))) (* (- 3 a) (* a a))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (* (+ -1 a) (+ 9 (* a (+ a 3))))) (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- (* a a) 1) (- 27 (pow a 3))) (* (* (+ -1 a) (+ 9 (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* (- (* a a) 1) (* b b)) (- 81 (* (* a a) (* a a))))) (* (* (* (+ -1 a) (+ 9 (* a a))) (* (- 3 a) (* a a))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (* (+ -1 a) (+ 9 (* a (+ a 3))))) (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- (* a a) 1) (- 27 (pow a 3))) (* (* (+ -1 a) (+ 9 (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 965 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b (* b 2)) (* a a)) 3)) (+ (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* (- (* a a) 1) (* b b)) (- 81 (* (* a a) (* a a))))) (* (* (* (+ (* a a) 9) (+ a -1)) (* (- 3 a) (* a a))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (* (+ a -1) (+ a 3))) (+ (* (- (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))) (* (* b (* b 2)) (* a a))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (* (* b (* b 2)) (* a a)) 3) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- (* a a) 1) (- 9 (* a a)))) (* (* (* (+ (* a a) 9) (+ a -1)) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b (* b 2)) (* a a)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b (* b 2)) (* a a)) 3)) (+ (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* (- (* a a) 1) (* b b)) (- 81 (* (* a a) (* a a))))) (* (* (* (+ (* a a) 9) (+ a -1)) (* (- 3 a) (* a a))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (* (+ a -1) (+ a 3))) (+ (* (- (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))) (* (* b (* b 2)) (* a a))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (* (* b (* b 2)) (* a a)) 3) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- (* a a) 1) (- 9 (* a a)))) (* (* (* (+ (* a a) 9) (+ a -1)) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b (* b 2)) (* a a)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 966 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (218 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (- (* a a) 1) (* b b)) (* (- 81 (* (* a a) (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (* (+ (* a a) 9) (+ a -1)) (- 1 (* (pow a 3) (pow a 3)))) (* (- 3 a) (* a a))))) (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (- 27 (pow a 3)) (+ a 1)) (* (* (+ (* a a) 9) (+ a -1)) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (- (* a a) 1) (* b b)) (* (- 81 (* (* a a) (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (* (+ (* a a) 9) (+ a -1)) (- 1 (* (pow a 3) (pow a 3)))) (* (- 3 a) (* a a))))) (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (- 27 (pow a 3)) (+ a 1)) (* (* (+ (* a a) 9) (+ a -1)) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 967 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (205 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* (- (* a a) 1) (* b b)) (- 81 (* (* a a) (* a a))))) (* (* (* (+ (* a a) 9) (+ a -1)) (- 1 (* (pow a 3) (pow a 3)))) (* (- 3 a) (* a a))))) (* (* 4 (+ a 3)) (+ (* (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* 2 (* (* a a) (* b b)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ (* a a) 9) (+ a -1)) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (- 9 (* a a)) (+ a 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* (- (* a a) 1) (* b b)) (- 81 (* (* a a) (* a a))))) (* (* (* (+ (* a a) 9) (+ a -1)) (- 1 (* (pow a 3) (pow a 3)))) (* (- 3 a) (* a a))))) (* (* 4 (+ a 3)) (+ (* (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* 2 (* (* a a) (* b b)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ (* a a) 9) (+ a -1)) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (- 9 (* a a)) (+ a 1))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 968 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (* (* (* (+ (* a a) 9) (+ -1 a)) (* (- 3 a) (+ 1 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* (- (* a a) 1) (* b b)) (- 81 (* (* a a) (* a a))))) (* (* (* (+ (* a a) 9) (+ -1 a)) (* (- 3 a) (* a a))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (* (* b (* b 2)) (* a a)) (- (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (* (* (* (+ (* a a) 9) (+ -1 a)) (* (- 3 a) (+ 1 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* (- (* a a) 1) (* b b)) (- 81 (* (* a a) (* a a))))) (* (* (* (+ (* a a) 9) (+ -1 a)) (* (- 3 a) (* a a))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (* (* b (* b 2)) (* a a)) (- (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 969 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (- (* a a) 1) (* b b))) (- 81 (* (* a a) (* a a)))) (* (* (* (+ (* a a) 9) (+ -1 a)) (- 1 (* (pow a 3) (pow a 3)))) (* (- 3 a) (* a a))))) (* (* 4 (+ -1 a)) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (* (* (+ (* a a) 9) (+ -1 a)) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (* (- 3 a) (- (* a a) 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (- (* a a) 1) (* b b))) (- 81 (* (* a a) (* a a)))) (* (* (* (+ (* a a) 9) (+ -1 a)) (- 1 (* (pow a 3) (pow a 3)))) (* (- 3 a) (* a a))))) (* (* 4 (+ -1 a)) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (* (* (+ (* a a) 9) (+ -1 a)) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (* (- 3 a) (- (* a a) 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 970 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (* (+ (* a a) 9) (- a 1)) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b (* b 2)) (* a a)) (* (* b (* b 2)) (* a a))))) (* (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ 3 a))))) 4) (+ (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* (- (* a a) 1) (* b b)) (- 81 (* (* a a) (* a a))))) (* (* (- 3 a) (* a a)) (* (* (+ (* a a) 9) (- a 1)) (- 1 (* (pow a 3) (pow a 3)))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (* (+ (* a a) 9) (- a 1)) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b (* b 2)) (* a a)) (* (* b (* b 2)) (* a a))))) (* (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ 3 a))))) 4) (+ (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* (- (* a a) 1) (* b b)) (- 81 (* (* a a) (* a a))))) (* (* (- 3 a) (* a a)) (* (* (+ (* a a) 9) (- a 1)) (- 1 (* (pow a 3) (pow a 3)))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 971 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (211 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) 9) (+ -1 a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b)))))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (- 81 (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (- (* a a) 1) (* b b)))) (* (* (* (+ (* a a) 9) (+ -1 a)) (- 1 (* (pow a 3) (pow a 3)))) (* (- 3 a) (* a a)))) (* (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (* a a) 9) (+ -1 a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b)))))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (- 81 (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (- (* a a) 1) (* b b)))) (* (* (* (+ (* a a) 9) (+ -1 a)) (- 1 (* (pow a 3) (pow a 3)))) (* (- 3 a) (* a a)))) (* (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 972 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (* (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b (* b 2)) (* a a)) (* (* b (* b 2)) (* a a)))) (* (* (- (* a a) 1) (- 27 (pow a 3))) (* (* (+ -1 a) (+ 9 (* a a))) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) (* (* (* 4 (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ 9 (* a (+ a 3))) (+ -1 a))) (+ (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* (- (* a a) 1) (* b b)) (- 81 (* (* a a) (* a a))))) (* (* (* (+ -1 a) (+ 9 (* a a))) (* (- 3 a) (* a a))) (- 1 (* (pow a 3) (pow a 3))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b (* b 2)) (* a a)) (* (* b (* b 2)) (* a a)))) (* (* (- (* a a) 1) (- 27 (pow a 3))) (* (* (+ -1 a) (+ 9 (* a a))) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) (* (* (* 4 (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ 9 (* a (+ a 3))) (+ -1 a))) (+ (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* (- (* a a) 1) (* b b)) (- 81 (* (* a a) (* a a))))) (* (* (* (+ -1 a) (+ 9 (* a a))) (* (- 3 a) (* a a))) (- 1 (* (pow a 3) (pow a 3))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 973 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a))))) (* (* (- (* a a) 1) (- 9 (* a a))) (* (* (+ (* a a) 9) (+ a -1)) (+ (* (* a a) (* a a)) (+ (* a a) 1)))))) (* (+ (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* (- (* a a) 1) (* b b)) (- 81 (* (* a a) (* a a))))) (* (* (* (+ (* a a) 9) (+ a -1)) (- 3 a)) (* (- 1 (* (pow a 3) (pow a 3))) (* a a)))) (* (* (* 4 (* (+ a -1) (+ a 3))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a))))) (* (* (- (* a a) 1) (- 9 (* a a))) (* (* (+ (* a a) 9) (+ a -1)) (+ (* (* a a) (* a a)) (+ (* a a) 1)))))) (* (+ (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* (- (* a a) 1) (* b b)) (- 81 (* (* a a) (* a a))))) (* (* (* (+ (* a a) 9) (+ a -1)) (- 3 a)) (* (- 1 (* (pow a 3) (pow a 3))) (* a a)))) (* (* (* 4 (* (+ a -1) (+ a 3))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 974 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) 1)) (* (* b b) (- 81 (* (* a a) (* a a))))) (* (* (* (+ (* a a) 9) (+ -1 a)) (* (- 3 a) (* a a))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (* (+ (* a a) 9) (+ -1 a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (+ a 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) 1)) (* (* b b) (- 81 (* (* a a) (* a a))))) (* (* (* (+ (* a a) 9) (+ -1 a)) (* (- 3 a) (* a a))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (* (+ (* a a) 9) (+ -1 a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (+ a 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 975 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (* (* (+ (* a a) 9) (+ -1 a)) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (+ a 1) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* (- (* a a) 1) (* b b)) (- 81 (* (* a a) (* a a))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ -1 a))) (+ (* a a) 9))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (* (* (+ (* a a) 9) (+ -1 a)) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (+ a 1) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* (- (* a a) 1) (* b b)) (- 81 (* (* a a) (* a a))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ -1 a))) (+ (* a a) 9))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 976 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* (- (* a a) 1) (* b b)) (- 81 (* (* a a) (* a a))))) (* (* (* (+ (* a a) 9) (+ a -1)) (* (- 3 a) (* a a))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))) (* (* (- 3 a) (+ 1 (pow a 3))) (* (* (+ (* a a) 9) (+ a -1)) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* (- (* a a) 1) (* b b)) (- 81 (* (* a a) (* a a))))) (* (* (* (+ (* a a) 9) (+ a -1)) (* (- 3 a) (* a a))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))) (* (* (- 3 a) (+ 1 (pow a 3))) (* (* (+ (* a a) 9) (+ a -1)) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 977 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (182 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (* (+ (* a a) 9) (+ -1 a)) (* (- 3 a) (- (* a a) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) 1)) (* (* b b) (- 81 (* (* a a) (* a a))))) (* (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ -1 a))) (+ (* a a) 9))) (* (* (* 4 (+ -1 a)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (* (+ (* a a) 9) (+ -1 a)) (* (- 3 a) (- (* a a) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) 1)) (* (* b b) (- 81 (* (* a a) (* a a))))) (* (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ -1 a))) (+ (* a a) 9))) (* (* (* 4 (+ -1 a)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 978 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (- (* a a) 1) (* b b))) (- 81 (* (* a a) (* a a)))) (* (* (* (+ (* a a) 9) (+ a -1)) (- 3 a)) (* (- 1 (* (pow a 3) (pow a 3))) (* a a)))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* a (+ 3 a)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* (* (+ (* a a) 9) (+ a -1)) (* (- 27 (pow a 3)) (+ 1 (pow a 3)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (- (* a a) 1) (* b b))) (- 81 (* (* a a) (* a a)))) (* (* (* (+ (* a a) 9) (+ a -1)) (- 3 a)) (* (- 1 (* (pow a 3) (pow a 3))) (* a a)))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* a (+ 3 a)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* (* (+ (* a a) 9) (+ a -1)) (* (- 27 (pow a 3)) (+ 1 (pow a 3)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 979 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* (- (* a a) 1) (* b b)) (- 81 (* (* a a) (* a a))))) (* (* (* (+ (* a a) 9) (+ -1 a)) (* (- 3 a) (* a a))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (* (* (* (+ (* a a) 9) (+ -1 a)) (* (+ (pow a 3) 1) (- 9 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* (- (* a a) 1) (* b b)) (- 81 (* (* a a) (* a a))))) (* (* (* (+ (* a a) 9) (+ -1 a)) (* (- 3 a) (* a a))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (* (* (* (+ (* a a) 9) (+ -1 a)) (* (+ (pow a 3) 1) (- 9 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 980 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* (- (* a a) 1) (* b b)) (- 81 (* (* a a) (* a a))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ -1 a))) (+ (* a a) 9))) (* (* (* 4 (+ -1 a)) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (* (+ (* a a) 9) (+ -1 a)) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) (* (- (* a a) 1) (- 27 (pow a 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* (- (* a a) 1) (* b b)) (- 81 (* (* a a) (* a a))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ -1 a))) (+ (* a a) 9))) (* (* (* 4 (+ -1 a)) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (* (+ (* a a) 9) (+ -1 a)) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) (* (- (* a a) 1) (- 27 (pow a 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 981 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ 3 a))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* (- (* a a) 1) (* b b)) (- 81 (* (* a a) (* a a))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ -1 a))) (+ (* a a) 9))) (* (* (* 4 (+ -1 a)) (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* (* (* (+ (* a a) 9) (+ -1 a)) (* (- 9 (* a a)) (- (* a a) 1))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* (- (* a a) 1) (* b b)) (- 81 (* (* a a) (* a a))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ -1 a))) (+ (* a a) 9))) (* (* (* 4 (+ -1 a)) (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* (* (* (+ (* a a) 9) (+ -1 a)) (* (- 9 (* a a)) (- (* a a) 1))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 982 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* (- (* a a) 1) (* b b)) (- 81 (* (* a a) (* a a))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ -1 a))) (+ (* a a) 9))) (* (+ 36 (* (* a (+ a 3)) 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* (* (* (+ (* a a) 9) (+ -1 a)) (* (+ a 1) (- 27 (pow a 3)))) (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* (- (* a a) 1) (* b b)) (- 81 (* (* a a) (* a a))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ -1 a))) (+ (* a a) 9))) (* (+ 36 (* (* a (+ a 3)) 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* (* (* (+ (* a a) 9) (+ -1 a)) (* (+ a 1) (- 27 (pow a 3)))) (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 983 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ 3 a)) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* (- (* a a) 1) (* b b)) (- 81 (* (* a a) (* a a))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ -1 a))) (+ (* a a) 9))) (* (+ (* 4 a) 12) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- 9 (* a a)) (+ a 1)) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))) (* (* (+ (* a a) 9) (+ -1 a)) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (* (- (* a a) 1) (* b b)) (- 81 (* (* a a) (* a a))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ -1 a))) (+ (* a a) 9))) (* (+ (* 4 a) 12) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- 9 (* a a)) (+ a 1)) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))) (* (* (+ (* a a) 9) (+ -1 a)) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 984 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* (* (* (+ (* a a) 9) (+ a -1)) (* (+ (pow a 3) 1) (- 3 a))) (+ (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- 81 (* (* a a) (* a a)))) (* (- (* a a) 1) (* b b))) (* (* (* (+ (* a a) 9) (+ a -1)) (* (- 3 a) (* a a))) (- 1 (* (pow a 3) (pow a 3))))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* (* (* (+ (* a a) 9) (+ a -1)) (* (+ (pow a 3) 1) (- 3 a))) (+ (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- 81 (* (* a a) (* a a)))) (* (- (* a a) 1) (* b b))) (* (* (* (+ (* a a) 9) (+ a -1)) (* (- 3 a) (* a a))) (- 1 (* (pow a 3) (pow a 3))))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 985 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- a 1)) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 3 a) (- (* a a) 1)) (* (* (* (+ (* a a) 9) (+ a -1)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- 81 (* (* a a) (* a a)))) (* (- (* a a) 1) (* b b))) (* (* (* (+ (* a a) 9) (+ a -1)) (- 1 (* (pow a 3) (pow a 3)))) (* (- 3 a) (* a a)))) (* (* 4 (+ a -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 3 a) (- (* a a) 1)) (* (* (* (+ (* a a) 9) (+ a -1)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- 81 (* (* a a) (* a a)))) (* (- (* a a) 1) (* b b))) (* (* (* (+ (* a a) 9) (+ a -1)) (- 1 (* (pow a 3) (pow a 3)))) (* (- 3 a) (* a a)))) (* (* 4 (+ a -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (- a 1))))) 1)) * * * * [misc]progress: [ 986 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) b) (* a a))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* 4 (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) 1)) (* (* b b) (- 81 (* (* a a) (* a a))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (- a 1))) (+ (* a a) 9))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (* (* (* (+ (* a a) 9) (- a 1)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (+ a 1) (- 3 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) b) (* a a))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* 4 (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- (* a a) 1)) (* (* b b) (- 81 (* (* a a) (* a a))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (- a 1))) (+ (* a a) 9))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (* (* (* (+ (* a a) 9) (- a 1)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (+ a 1) (- 3 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 987 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- 81 (* (* a a) (* a a)))) (* (- (* a a) 1) (* b b))) (* (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (- a 1))) (+ (* a a) 9))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (* (+ (* a a) 9) (- a 1)) (* (- 3 a) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- 81 (* (* a a) (* a a)))) (* (- (* a a) 1) (* b b))) (* (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (- a 1))) (+ (* a a) 9))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (* (+ (* a a) 9) (- a 1)) (* (- 3 a) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (- a 1) (+ 9 (* a a)))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 988 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (234 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (pow a 3) 1) (- 27 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))) (* (* (+ 81 (* (* a a) (+ (* a a) 9))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- 729 (pow (* a a) 3))) (* (* b b) (+ a 1))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3)))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (+ (* (* (* b (* b 2)) (* a a)) (- (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (pow a 3) 1) (- 27 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))) (* (* (+ 81 (* (* a a) (+ (* a a) 9))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- 729 (pow (* a a) 3))) (* (* b b) (+ a 1))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3)))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (+ (* (* (* b (* b 2)) (* a a)) (- (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 989 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (223 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (* (* (+ 81 (* (+ 9 (* a a)) (* a a))) (* (+ (pow a 3) 1) (- 9 (* a a)))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- 729 (pow (* a a) 3))) (* (* b b) (+ a 1))) (* (+ 81 (* (+ 9 (* a a)) (* a a))) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3)))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (* (- (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* a a)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (* (* (+ 81 (* (+ 9 (* a a)) (* a a))) (* (+ (pow a 3) 1) (- 9 (* a a)))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- 729 (pow (* a a) 3))) (* (* b b) (+ a 1))) (* (+ 81 (* (+ 9 (* a a)) (* a a))) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3)))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (* (- (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* a a)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 990 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (232 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (+ (* (- 729 (pow (* a a) 3)) (* (* (* b b) (+ a 1)) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3)))))) (* (* 4 (* (+ -1 a) (+ 9 (* a (+ a 3))))) (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (* (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (- 27 (pow a 3)) (- (* a a) 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (+ (* (- 729 (pow (* a a) 3)) (* (* (* b b) (+ a 1)) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3)))))) (* (* 4 (* (+ -1 a) (+ 9 (* a (+ a 3))))) (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (* (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (- 27 (pow a 3)) (- (* a a) 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 991 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (218 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* 8 (pow (* (* b b) (* a a)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 9 (* a a)) (- (* a a) 1))) (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* (* b b) (+ a 1)) (* (- 729 (pow (* a a) 3)) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3))) (+ 81 (* (* a a) (+ 9 (* a a))))))) (* (* 4 (* (+ a 3) (+ -1 a))) (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* 8 (pow (* (* b b) (* a a)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 9 (* a a)) (- (* a a) 1))) (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* (* b b) (+ a 1)) (* (- 729 (pow (* a a) 3)) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3))) (+ 81 (* (* a a) (+ 9 (* a a))))))) (* (* 4 (* (+ a 3) (+ -1 a))) (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 992 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a 1)) (* (- 729 (pow (* a a) 3)) (* b b))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3)))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (- 27 (pow a 3)) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a 1)) (* (- 729 (pow (* a a) 3)) (* b b))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3)))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (- 27 (pow a 3)) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 993 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (208 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (* 2 (* (* b b) (* a a))) 3) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ a 1) (- 9 (* a a)))) (* (* (+ (* (* a a) (+ 9 (* a a))) 81) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* b b) (* a a))) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* b b) (* a a))) 3)) (+ (* (* (* b b) (+ a 1)) (* (- 729 (* (pow a 3) (pow a 3))) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (* (- 3 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a))))))) (* (* 4 (+ a 3)) (+ (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (* 2 (* (* b b) (* a a))) 3) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ a 1) (- 9 (* a a)))) (* (* (+ (* (* a a) (+ 9 (* a a))) 81) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* b b) (* a a))) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* b b) (* a a))) 3)) (+ (* (* (* b b) (+ a 1)) (* (- 729 (* (pow a 3) (pow a 3))) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (* (- 3 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a))))))) (* (* 4 (+ a 3)) (+ (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 994 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (* (* (* a a) 2) (* b b)) 3) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (- 3 a) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- 729 (* (pow a 3) (pow a 3)))) (* (* b b) (+ a 1))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (* (- 3 a) (* a a)) (- 1 (* (pow a 3) (pow a 3))))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (* (* (* a a) 2) (* b b)) 3) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (- 3 a) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- 729 (* (pow a 3) (pow a 3)))) (* (* b b) (+ a 1))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (* (- 3 a) (* a a)) (- 1 (* (pow a 3) (pow a 3))))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 995 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* (* b b) (+ a 1)) (* (- 729 (* (pow a 3) (pow a 3))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (* (- 3 a) (* a a)) (- 1 (* (pow a 3) (pow a 3))))))) (* (* 4 (+ -1 a)) (+ (* (- (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* a a)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (+ (* a a) -1) (- 3 a))) (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))) (pow (+ (pow b 4) (pow a 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* (* b b) (+ a 1)) (* (- 729 (* (pow a 3) (pow a 3))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (* (- 3 a) (* a a)) (- 1 (* (pow a 3) (pow a 3))))))) (* (* 4 (+ -1 a)) (+ (* (- (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* a a)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (+ (* a a) -1) (- 3 a))) (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))) (pow (+ (pow b 4) (pow a 4)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 996 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ 81 (* (* a a) (+ (* a a) 9))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (* (* (* (+ (pow a 3) 1) (- 27 (pow a 3))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (* (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- 729 (pow (* a a) 3))) (* (* b b) (+ a 1))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3))))) (* (* 4 (* (+ 9 (* a (+ a 3))) (+ (* a a) (- 1 a)))) (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (+ 81 (* (* a a) (+ (* a a) 9))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (* (* (* (+ (pow a 3) 1) (- 27 (pow a 3))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (* (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (- 729 (pow (* a a) 3))) (* (* b b) (+ a 1))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3))))) (* (* 4 (* (+ 9 (* a (+ a 3))) (+ (* a a) (- 1 a)))) (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 997 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (* (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a))))) (* (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ a 1)) (* (- 729 (* (pow a 3) (pow a 3))) (* b b))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (* (- 3 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (* (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a))))) (* (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ a 1)) (* (- 729 (* (pow a 3) (pow a 3))) (* b b))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (* (- 3 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 998 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (223 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)) (+ (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4))))) (* (- 27 (pow a 3)) (- (* a a) 1))) (* (* 4 (* (* (+ -1 a) (+ (* a (+ a 3)) 9)) (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)))) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a 1)) (* (- 729 (pow (* a a) 3)) (* b b))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)) (+ (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4))))) (* (- 27 (pow a 3)) (- (* a a) 1))) (* (* 4 (* (* (+ -1 a) (+ (* a (+ a 3)) 9)) (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)))) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a 1)) (* (- 729 (pow (* a a) 3)) (* b b))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 999 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (* b b) (+ a 1)) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (* (- 3 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (* (+ -1 a) (+ a 3))) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (* (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (- 9 (* a a)) (- (* a a) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (* b b) (+ a 1)) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (* (- 3 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (* (+ -1 a) (+ a 3))) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (* (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (- 9 (* a a)) (- (* a a) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1000 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (213 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (+ a 1)) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (- 729 (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (* (- 3 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (* (+ (* (* a a) (+ (* a a) 9)) 81) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2)))) (* (* (+ a 1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (+ a 1)) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (- 729 (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (* (- 3 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (* (+ (* (* a a) (+ (* a a) 9)) 81) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2)))) (* (* (+ a 1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1001 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a 1)) (* (- 729 (* (pow a 3) (pow a 3))) (* b b))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (* (- 3 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ a 3)) (- (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (* (- 9 (* a a)) (+ a 1)) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ a 1)) (* (- 729 (* (pow a 3) (pow a 3))) (* b b))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (* (- 3 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ a 3)) (- (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (* (- 9 (* a a)) (+ a 1)) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (+ (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1002 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (+ 1 (pow a 3)) (- 3 a))) (* (* (+ (* (* a a) (+ 9 (* a a))) 81) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (+ (* (* (* (* b b) (+ a 1)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- 729 (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (* (- 3 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (+ 1 (pow a 3)) (- 3 a))) (* (* (+ (* (* a a) (+ 9 (* a a))) 81) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (+ (* (* (* (* b b) (+ a 1)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- 729 (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (* (- 3 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1003 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- 729 (* (pow a 3) (pow a 3)))) (* (* b b) (+ a 1))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (* (- 3 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ a -1)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2))) (* (- (* a a) 1) (- 3 a))) (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- 729 (* (pow a 3) (pow a 3)))) (* (* b b) (+ a 1))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (* (- 3 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ a -1)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2))) (* (- (* a a) 1) (- 3 a))) (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1004 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (* (* (+ (* (* a a) (+ (* a a) 9)) 81) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ a 1)) (* (- 729 (* (pow a 3) (pow a 3))) (* b b))) (* (* (* (- 3 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (* (* (+ (* (* a a) (+ (* a a) 9)) 81) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ a 1)) (* (- 729 (* (pow a 3) (pow a 3))) (* b b))) (* (* (* (- 3 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1005 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ a 1)) (* (- 729 (pow (* a a) 3)) (* b b))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3))))) (* (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (* (* (+ (pow a 3) 1) (- 9 (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ a 1)) (* (- 729 (pow (* a a) 3)) (* b b))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3))))) (* (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (* (* (+ (pow a 3) 1) (- 9 (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1006 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (203 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- 729 (* (pow a 3) (pow a 3)))) (* (* b b) (+ a 1))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (* (- 3 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ a -1)) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* b b) (* a a))) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* b b) (* a a))) 3)) (* (+ (* (* a a) (+ 9 (* a a))) 81) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (* (- (* a a) 1) (- 27 (pow a 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- 729 (* (pow a 3) (pow a 3)))) (* (* b b) (+ a 1))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (* (- 3 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ a -1)) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* b b) (* a a))) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* b b) (* a a))) 3)) (* (+ (* (* a a) (+ 9 (* a a))) 81) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (* (- (* a a) 1) (- 27 (pow a 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1007 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ 3 a))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ a 1)) (* (- 729 (* (pow a 3) (pow a 3))) (* b b))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (* (- 3 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ -1 a)) (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* (- (* a a) 1) (- 9 (* a a)))) (* (* (+ 81 (* (* a a) (+ (* a a) 9))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ a 1)) (* (- 729 (* (pow a 3) (pow a 3))) (* b b))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (* (- 3 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ -1 a)) (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* (- (* a a) 1) (- 9 (* a a)))) (* (* (+ 81 (* (* a a) (+ (* a a) 9))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1008 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (- 27 (pow a 3)) (+ a 1)))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (+ (* (* (* (* b b) (+ a 1)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- 729 (pow (* a a) 3))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3))))) (* (+ 36 (* (* a (+ a 3)) 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (- 27 (pow a 3)) (+ a 1)))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (+ (* (* (* (* b b) (+ a 1)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- 729 (pow (* a a) 3))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3))))) (* (+ 36 (* (* a (+ a 3)) 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1009 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ 3 a)) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (+ a 1)) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (- 729 (* (pow a 3) (pow a 3)))) (* (+ (* (+ 9 (* a a)) (* a a)) 81) (* (* (- 3 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))))) (* (+ 12 (* 4 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (* (- 9 (* a a)) (+ a 1)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)))) (* (+ (* (+ 9 (* a a)) (* a a)) 81) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (+ a 1)) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (- 729 (* (pow a 3) (pow a 3)))) (* (+ (* (+ 9 (* a a)) (* a a)) 81) (* (* (- 3 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))))) (* (+ 12 (* 4 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (* (- 9 (* a a)) (+ a 1)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)))) (* (+ (* (+ 9 (* a a)) (* a a)) 81) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 1010 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (184 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (- 3 a) (+ 1 (pow a 3))) (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (* (* b b) (+ a 1)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- 729 (pow (* a a) 3))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3))))) (* (* 4 (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (- 3 a) (+ 1 (pow a 3))) (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (* (* b b) (+ a 1)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- 729 (pow (* a a) 3))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (* (- 3 a) (* a a)) (- 1 (pow (* a a) 3))))) (* (* 4 (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 1011 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- a 1)) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (* (* (- 3 a) (- (* a a) 1)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (* b b) (+ a 1)) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (* (- 3 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (+ (* 4 a) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (* (* (- 3 a) (- (* a a) 1)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (* b b) (+ a 1)) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (* (- 3 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (+ (* 4 a) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (- a 1))))) 1)) * * * * [misc]progress: [ 1012 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (+ a 1) (- 3 a)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ a 1)) (* (- 729 (* (pow a 3) (pow a 3))) (* b b))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (* (- 3 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))))) 4) (* (+ (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (+ a 1) (- 3 a)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ a 1)) (* (- 729 (* (pow a 3) (pow a 3))) (* b b))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (* (- 3 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))))) 4) (* (+ (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 1013 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (+ (* (+ 9 (* a a)) (* a a)) 81) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ a 1) (- 3 a)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- 729 (* (pow a 3) (pow a 3)))) (* (* b b) (+ a 1))) (* (+ (* (+ 9 (* a a)) (* a a)) 81) (* (* (- 3 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (+ (* (+ 9 (* a a)) (* a a)) 81) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ a 1) (- 3 a)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- 729 (* (pow a 3) (pow a 3)))) (* (* b b) (+ a 1))) (* (+ (* (+ 9 (* a a)) (* a a)) 81) (* (* (- 3 a) (* a a)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 1014 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (225 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (+ (pow a 3) 1) (- 27 (pow a 3))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ (* a a) 9) (* (- 3 a) (* a a))) (- 1 (pow (* a a) 3))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- 81 (* (* a a) (* a a)))) (* (* b b) (+ a 1))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (+ (pow a 3) 1) (- 27 (pow a 3))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ (* a a) 9) (* (- 3 a) (* a a))) (- 1 (pow (* a a) 3))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- 81 (* (* a a) (* a a)))) (* (* b b) (+ a 1))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1015 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (+ (* a a) 9) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ (* a a) 9))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- 81 (* (* a a) (* a a)))) (* (* b b) (+ a 1))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ a 3))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (+ (* a a) 9) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ (* a a) 9))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- 81 (* (* a a) (* a a)))) (* (* b b) (+ a 1))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ a 3))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1016 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* a a) 9) (* (- 3 a) (* a a))) (- 1 (pow (* a a) 3))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- 81 (* (* a a) (* a a)))) (* (* b b) (+ a 1))))) (* (* 4 (* (+ -1 a) (+ 9 (* a (+ a 3))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b a)) a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (+ (* a a) 9) (* (- 27 (pow a 3)) (+ (* a a) -1))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* a a) 9) (* (- 3 a) (* a a))) (- 1 (pow (* a a) 3))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- 81 (* (* a a) (* a a)))) (* (* b b) (+ a 1))))) (* (* 4 (* (+ -1 a) (+ 9 (* a (+ a 3))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b a)) a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (+ (* a a) 9) (* (- 27 (pow a 3)) (+ (* a a) -1))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1017 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ (* a a) 9) (* (- 3 a) (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* b b) (+ a 1))) (- 81 (* (* a a) (* a a)))))) (* (* 4 (* (+ a 3) (+ a -1))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* a a) 9))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (- 9 (* a a)) (+ (* a a) -1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ (* a a) 9) (* (- 3 a) (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* b b) (+ a 1))) (- 81 (* (* a a) (* a a)))))) (* (* 4 (* (+ a 3) (+ a -1))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* a a) 9))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (- 9 (* a a)) (+ (* a a) -1))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1018 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ 9 (* a a)) (* (- 3 a) (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (+ a 1))) (- 81 (* (* a a) (* a a)))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (+ a 1) (- 27 (pow a 3))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ 9 (* a a)) (* (- 3 a) (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (+ a 1))) (- 81 (* (* a a) (* a a)))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (+ a 1) (- 27 (pow a 3))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1019 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* a a) 9))) (* (* (+ a 1) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (+ (* (* (+ (* a a) 9) (* (- 3 a) (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ a 1)) (* (* b b) (- 81 (* (* a a) (* a a))))))) (* (* 4 (+ a 3)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* a a) 9))) (* (* (+ a 1) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (+ (* (* (+ (* a a) 9) (* (- 3 a) (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ a 1)) (* (* b b) (- 81 (* (* a a) (* a a))))))) (* (* 4 (+ a 3)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1020 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (203 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ (* a a) 9))) (* (* (* b b) (+ a 1)) (* (- 81 (* (* a a) (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a a) 9))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (+ 1 (pow a 3)) (- 3 a))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ (* a a) 9))) (* (* (* b b) (+ a 1)) (* (- 81 (* (* a a) (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a a) 9))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (+ 1 (pow a 3)) (- 3 a))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1021 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* a a) 9)) (* (+ (* a a) -1) (- 3 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* a a) 9) (* (- 3 a) (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (* (- 81 (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* b b) (+ a 1)))))) (* (* 4 (+ -1 a)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* a a) 9)) (* (+ (* a a) -1) (- 3 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* a a) 9) (* (- 3 a) (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (* (- 81 (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* b b) (+ a 1)))))) (* (* 4 (+ -1 a)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1022 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (217 enodes) * [exit]simplify: Simplified to (* (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a a) 9)))) (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ (* a a) 9))) (* (- 81 (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* b b) (+ a 1))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a a) 9)))) (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ (* a a) 9))) (* (- 81 (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (* b b) (+ a 1))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1023 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ (* a a) 9))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- 81 (* (* a a) (* a a)))) (* (* b b) (+ a 1)))) (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ (* a a) 9))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- 81 (* (* a a) (* a a)))) (* (* b b) (+ a 1)))) (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1024 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (+ 9 (* a a)) (* (- 3 a) (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- 81 (* (* a a) (* a a)))) (* (* b b) (+ a 1)))) (* (* 4 (* (+ a -1) (+ (* a (+ a 3)) 9))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a a))) (* (+ (* a a) -1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (* (+ 9 (* a a)) (* (- 3 a) (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- 81 (* (* a a) (* a a)))) (* (* b b) (+ a 1)))) (* (* 4 (* (+ a -1) (+ (* a (+ a 3)) 9))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a a))) (* (+ (* a a) -1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1025 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (201 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (* (+ (* a a) -1) (- 9 (* a a))))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* a a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (+ (* a a) 9) (* (- 3 a) (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (* (- 81 (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* b b) (+ a 1))))) (* (* (* 4 (* (+ a -1) (+ a 3))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (* (+ (* a a) -1) (- 9 (* a a))))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* a a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (+ (* a a) 9) (* (- 3 a) (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (* (- 81 (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* b b) (+ a 1))))) (* (* (* 4 (* (+ a -1) (+ a 3))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1026 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ a 1) (- 27 (pow a 3))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* a a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ (* a a) 9))) (* (* (* b b) (+ a 1)) (* (- 81 (* (* a a) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))) (* (* (* 4 (+ (* (+ a 3) a) 9)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ a 1) (- 27 (pow a 3))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* a a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ (* a a) 9))) (* (* (* b b) (+ a 1)) (* (- 81 (* (* a a) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))) (* (* (* 4 (+ (* (+ a 3) a) 9)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1027 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* a a) 9)) (* (- 9 (* a a)) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ (* a a) 9))) (* (- 81 (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* b b) (+ a 1))))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* a a) 9)) (* (- 9 (* a a)) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ (* a a) 9))) (* (- 81 (* (* a a) (* a a))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* b b) (+ a 1))))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1028 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* a a) 9) (* (- 3 a) (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (* (- 81 (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (+ a 1))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (+ (* a a) 9) (* (+ (pow a 3) 1) (- 3 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* a a) 9) (* (- 3 a) (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (* (- 81 (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (+ a 1))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (+ (* a a) 9) (* (+ (pow a 3) 1) (- 3 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1029 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 3 a) (- (* a a) 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2)))))) (* (+ (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ (* a a) 9))) (* (- 81 (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (+ a 1))))) (* (* (* 4 (+ -1 a)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 3 a) (- (* a a) 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2)))))) (* (+ (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ (* a a) 9))) (* (- 81 (* (* a a) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (+ a 1))))) (* (* (* 4 (+ -1 a)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1030 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ (* a a) 9))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ a 1)) (* (* b b) (- 81 (* (* a a) (* a a)))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (pow a 3) 1) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a a) 9)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ (* a a) 9))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ a 1)) (* (* b b) (- 81 (* (* a a) (* a a)))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (pow a 3) 1) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a a) 9)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1031 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * [exit]simplify: Simplified to (+ (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (* (+ (* a a) 9) (* (+ (pow a 3) 1) (- 9 (* a a)))) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (+ (* a a) 9) (* (- 3 a) (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- 81 (* (* a a) (* a a)))) (* (* b b) (+ a 1)))) (* (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (* (+ (* a a) 9) (* (+ (pow a 3) 1) (- 9 (* a a)))) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (+ (* a a) 9) (* (- 3 a) (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- 81 (* (* a a) (* a a)))) (* (* b b) (+ a 1)))) (* (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1032 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* a a) 9) (* (- 3 a) (* a a))) (- 1 (pow (* a a) 3))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (+ a 1))) (- 81 (* (* a a) (* a a))))) (* (* (* 4 (+ -1 a)) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (+ (* a a) -1) (- 27 (pow a 3)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* a a) 9) (* (- 3 a) (* a a))) (- 1 (pow (* a a) 3))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (+ a 1))) (- 81 (* (* a a) (* a a))))) (* (* (* 4 (+ -1 a)) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (+ (* a a) -1) (- 27 (pow a 3)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1033 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ 3 a))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (181 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a a) 9)) (* (* (* (- 9 (* a a)) (+ (* a a) -1)) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ (* a a) 9))) (* (* (* b b) (+ a 1)) (* (- 81 (* (* a a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (* (+ a 3) (- a 1)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a a) 9)) (* (* (* (- 9 (* a a)) (+ (* a a) -1)) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ (* a a) 9))) (* (* (* b b) (+ a 1)) (* (- 81 (* (* a a) (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (* (+ a 3) (- a 1)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1034 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* a a) 9))) (* (* (- 27 (pow a 3)) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ (* a a) 9))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- 81 (* (* a a) (* a a)))) (* (* b b) (+ a 1)))) (* (+ (* 4 (* a (+ a 3))) 36) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* a a) 9))) (* (* (- 27 (pow a 3)) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ (* a a) 9))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (- 81 (* (* a a) (* a a)))) (* (* b b) (+ a 1)))) (* (+ (* 4 (* a (+ a 3))) 36) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1035 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ 3 a)) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ (* a a) 9))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (+ a 1))) (- 81 (* (* a a) (* a a))))) (* (* 4 (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (+ (* a a) 9) (* (+ a 1) (- 9 (* a a)))) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ (* a a) 9))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (+ a 1))) (- 81 (* (* a a) (* a a))))) (* (* 4 (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (+ (* a a) 9) (* (+ a 1) (- 9 (* a a)))) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 1036 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ (* a a) 9))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (+ a 1))) (- 81 (* (* a a) (* a a))))) (* (* (+ (* a a) (- 1 a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* (- 3 a) (+ 1 (pow a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a a) 9))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 3 a) (* a a)) (+ (* a a) 9))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (+ a 1))) (- 81 (* (* a a) (* a a))))) (* (* (+ (* a a) (- 1 a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* (- 3 a) (+ 1 (pow a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a a) 9))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 1037 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- a 1)) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (164 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* a a) 9) (* (- 3 a) (* a a))) (- 1 (pow (* a a) 3))) (* (* (* b b) (+ a 1)) (* (- 81 (* (* a a) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))) (* (+ (* a 4) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (+ (* a a) -1) (- 3 a)) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* a a) 9) (* (- 3 a) (* a a))) (- 1 (pow (* a a) 3))) (* (* (* b b) (+ a 1)) (* (- 81 (* (* a a) (* a a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))) (* (+ (* a 4) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (+ (* a a) -1) (- 3 a)) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (- a 1))))) 1)) * * * * [misc]progress: [ 1038 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (188 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))))) (* 4 (+ (* (* (+ (* a a) 9) (* (- 3 a) (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* b b) (+ a 1))) (- 81 (* (* a a) (* a a))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* a a) 9))) (* (* (- 3 a) (+ a 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))))) (* 4 (+ (* (* (+ (* a a) 9) (* (- 3 a) (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (* b b) (+ a 1))) (- 81 (* (* a a) (* a a))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ (* a a) 9))) (* (* (- 3 a) (+ a 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 1039 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ (* a a) 9))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (+ a 1))) (- 81 (* (* a a) (* a a))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a a) 9))) (* (* (- 3 a) (+ a 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 1 (pow (* a a) 3)) (* (* (- 3 a) (* a a)) (+ (* a a) 9))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* b b) (+ a 1))) (- 81 (* (* a a) (* a a))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a a) 9))) (* (* (- 3 a) (+ a 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ 9 (* a a))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 1040 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (216 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))) (* (* (+ (- 1 a) (* a a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (+ 1 (pow a 3)) (* (* (* b b) (- 9 (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (- 1 a) (* a a)) (* (* a a) (- 3 a))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ 3 a))))) (+ (* (* (* (* b 2) b) (* a a)) (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))) (* (* (+ (- 1 a) (* a a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (+ 1 (pow a 3)) (* (* (* b b) (- 9 (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (- 1 a) (* a a)) (* (* a a) (- 3 a))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ 3 a))))) (+ (* (* (* (* b 2) b) (* a a)) (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1041 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (205 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ 1 (pow a 3)) (* (* (- 9 (* a a)) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (- 1 a) (* a a)) (* (* a a) (- 3 a))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (* (* (* b (* b 2)) (* a a)) (- (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (- 1 a) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ 1 (pow a 3)) (- 9 (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ 1 (pow a 3)) (* (* (- 9 (* a a)) (* b b)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (- 1 a) (* a a)) (* (* a a) (- 3 a))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (* (* (* b (* b 2)) (* a a)) (- (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (- 1 a) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ 1 (pow a 3)) (- 9 (* a a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1042 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (+ (- 1 a) (* a a)) (* (+ (* a a) -1) (- 27 (pow a 3)))) (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 1 (pow a 3))) (* (* b b) (- 9 (* a a)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))))) (* (* 4 (* (+ -1 a) (+ 9 (* (+ a 3) a)))) (+ (* (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) b) (* a a))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (+ (- 1 a) (* a a)) (* (+ (* a a) -1) (- 27 (pow a 3)))) (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 1 (pow a 3))) (* (* b b) (- 9 (* a a)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))))) (* (* 4 (* (+ -1 a) (+ 9 (* (+ a 3) a)))) (+ (* (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) b) (* a a))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1043 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 1 (pow a 3))) (* (- 9 (* a a)) (* b b))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))))) (* (* 4 (* (- a 1) (+ a 3))) (+ (* (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) b) (* a a))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* a a) -1) (- 9 (* a a))) (* (+ (- 1 a) (* a a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 1 (pow a 3))) (* (- 9 (* a a)) (* b b))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))))) (* (* 4 (* (- a 1) (+ a 3))) (+ (* (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) b) (* a a))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* a a) -1) (- 9 (* a a))) (* (+ (- 1 a) (* a a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1044 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (+ (- 1 a) (* a a)) (* (- 27 (pow a 3)) (+ a 1))) (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (+ 1 (pow a 3)) (* (* (* b b) (- 9 (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))))) (* (* 4 (+ 9 (* (+ a 3) a))) (+ (* (* (* (* b 2) b) (* a a)) (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (+ (- 1 a) (* a a)) (* (- 27 (pow a 3)) (+ a 1))) (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (+ 1 (pow a 3)) (* (* (* b b) (- 9 (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a)))))) (* (* 4 (+ 9 (* (+ a 3) a))) (+ (* (* (* (* b 2) b) (* a a)) (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1045 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (203 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (- 1 a) (* a a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- 9 (* a a)) (+ a 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) (* b a)) a) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) (* b a)) a) 3))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) (* b a)) a) 3)) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- 9 (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (* (+ (- 1 a) (* a a)) (* (* a a) (- 3 a))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ a 3)) (+ (* (* (* (* b 2) (* b a)) a) (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (- 1 a) (* a a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- 9 (* a a)) (+ a 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) (* b a)) a) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) (* b a)) a) 3))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) (* b a)) a) 3)) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- 9 (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (* (+ (- 1 a) (* a a)) (* (* a a) (- 3 a))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ a 3)) (+ (* (* (* (* b 2) (* b a)) a) (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1046 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ (- 1 a) (* a a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- 3 a) (+ 1 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ 1 (pow a 3)) (* (* (* b b) (- 9 (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (- 1 a) (* a a)) (* (* a a) (- 3 a))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (- (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))) (* (* b (* b 2)) (* a a))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ (- 1 a) (* a a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- 3 a) (+ 1 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ 1 (pow a 3)) (* (* (* b b) (- 9 (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (- 1 a) (* a a)) (* (* a a) (- 3 a))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (- (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))) (* (* b (* b 2)) (* a a))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1047 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 (pow a 3))) (* (* b b) (- 9 (* a a)))) (* (* (+ (- 1 a) (* a a)) (* (* a a) (- 3 a))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ -1 a)) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (* (- 3 a) (+ (* a a) -1)) (* (+ (- 1 a) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 (pow a 3))) (* (* b b) (- 9 (* a a)))) (* (* (+ (- 1 a) (* a a)) (* (* a a) (- 3 a))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ -1 a)) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (* (- 3 a) (+ (* a a) -1)) (* (+ (- 1 a) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1048 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (208 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* (+ a 3) a)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (- 9 (* a a)) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 1 (pow a 3)) (* b b)))) (* (* (+ (- 1 a) (* a a)) (* (* a a) (- 3 a))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* (+ (- 1 a) (* a a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* (+ a 3) a)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (- 9 (* a a)) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 1 (pow a 3)) (* b b)))) (* (* (+ (- 1 a) (* a a)) (* (* a a) (- 3 a))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* (+ (- 1 a) (* a a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1049 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (+ (- 1 a) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a))) (* (+ 1 (pow a 3)) (- 9 (* a a))))) (* (+ (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (+ 1 (pow a 3)) (* b b)) (- 9 (* a a)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a))))) (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (+ (- 1 a) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a))) (* (+ 1 (pow a 3)) (- 9 (* a a))))) (* (+ (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (+ 1 (pow a 3)) (* b b)) (- 9 (* a a)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a))))) (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1050 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ (- 1 a) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (+ (* a a) -1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))) (* (* (* 4 (* (+ a -1) (+ 9 (* a (+ 3 a))))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (- 9 (* a a))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (+ (- 1 a) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (+ (* a a) -1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))) (* (* (* 4 (* (+ a -1) (+ 9 (* a (+ 3 a))))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (- 9 (* a a))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1051 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (203 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b (* b 2)) (* a a)) (* (* b (* b 2)) (* a a)))) (* (+ (- 1 a) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (* a a) -1) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (+ (* (- 9 (* a a)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b)))) (* (* (+ (- 1 a) (* a a)) (* (* a a) (- 3 a))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* 4 (* (+ a -1) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b (* b 2)) (* a a)) (* (* b (* b 2)) (* a a)))) (* (+ (- 1 a) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (* a a) -1) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (+ (* (- 9 (* a a)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b)))) (* (* (+ (- 1 a) (* a a)) (* (* a a) (- 3 a))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* 4 (* (+ a -1) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1052 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 (pow a 3))) (* (* b b) (- 9 (* a a)))) (* (* (+ (- 1 a) (* a a)) (* (* a a) (- 3 a))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ 9 (* (+ a 3) a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a)))) (* (- 27 (pow a 3)) (+ a 1))) (* (* (+ (- 1 a) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 1 (pow a 3))) (* (* b b) (- 9 (* a a)))) (* (* (+ (- 1 a) (* a a)) (* (* a a) (- 3 a))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ 9 (* (+ a 3) a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a)))) (* (- 27 (pow a 3)) (+ a 1))) (* (* (+ (- 1 a) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1053 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (+ a 1) (- 9 (* a a)))) (* (* (+ (- 1 a) (* a a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 1 (pow a 3))) (* (- 9 (* a a)) (* b b))) (* (* (+ (- 1 a) (* a a)) (* (* a a) (- 3 a))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ a 3)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (+ a 1) (- 9 (* a a)))) (* (* (+ (- 1 a) (* a a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 1 (pow a 3))) (* (- 9 (* a a)) (* b b))) (* (* (+ (- 1 a) (* a a)) (* (* a a) (- 3 a))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ a 3)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1054 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 9 (* a a)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b)))) (* (* (+ (- 1 a) (* a a)) (* (- 3 a) (* a a))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (+ (- 1 a) (* a a)) (* (- 3 a) (+ 1 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 9 (* a a)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b)))) (* (* (+ (- 1 a) (* a a)) (* (- 3 a) (* a a))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (+ (- 1 a) (* a a)) (* (- 3 a) (+ 1 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1055 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 9 (* a a)) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 1 (pow a 3)) (* b b)))) (* (* (+ (- 1 a) (* a a)) (* (* a a) (- 3 a))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ a -1)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) (* (+ (- 1 a) (* a a)) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (- 3 a) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 9 (* a a)) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 1 (pow a 3)) (* b b)))) (* (* (+ (- 1 a) (* a a)) (* (* a a) (- 3 a))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ a -1)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) (* (+ (- 1 a) (* a a)) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (- 3 a) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1056 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (187 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a))) (+ 1 (pow a 3))) (* (- 27 (pow a 3)) (* (+ (- 1 a) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))) (* (+ (* (- 9 (* a a)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b)))) (* (* (+ (- 1 a) (* a a)) (* (* a a) (- 3 a))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a))) (+ 1 (pow a 3))) (* (- 27 (pow a 3)) (* (+ (- 1 a) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))))) (* (+ (* (- 9 (* a a)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b)))) (* (* (+ (- 1 a) (* a a)) (* (* a a) (- 3 a))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1057 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (- 1 a) (* a a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (+ 1 (pow a 3)) (* (* (* b b) (- 9 (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (- 1 a) (* a a)) (* (* a a) (- 3 a))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (- 1 a) (* a a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (+ 1 (pow a 3)) (* (* (* b b) (- 9 (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (- 1 a) (* a a)) (* (* a a) (- 3 a))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1058 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (- 1 a) (* a a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (* (- (* a a) 1) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- 9 (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a))))) (* (* (* 4 (- a 1)) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (- 1 a) (* a a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (* (- (* a a) 1) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- 9 (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a))))) (* (* (* 4 (- a 1)) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1059 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- a 1) (+ 3 a))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (- 1 a) (* a a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (* (- 9 (* a a)) (+ (* a a) -1)) (+ (* (* (* b b) 2) (* a a)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (- 1 a) (* a a)) (* (* a a) (- 3 a))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ -1 a)) (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (- 1 a) (* a a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (* (- 9 (* a a)) (+ (* a a) -1)) (+ (* (* (* b b) 2) (* a a)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (- 1 a) (* a a)) (* (* a a) (- 3 a))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ -1 a)) (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1060 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) b) (* a a)) 3)) (* (+ (- 1 a) (* a a)) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (+ (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4))) (* (+ a 1) (- 27 (pow a 3))))) (* (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (- 1 a) (* a a)) (* (* a a) (- 3 a))) (- 1 (* (pow a 3) (pow a 3))))) (* (* 4 (+ 9 (* a (+ 3 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) b) (* a a)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) b) (* a a)) 3)) (* (+ (- 1 a) (* a a)) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (+ (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4))) (* (+ a 1) (- 27 (pow a 3))))) (* (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (- 1 a) (* a a)) (* (* a a) (- 3 a))) (- 1 (* (pow a 3) (pow a 3))))) (* (* 4 (+ 9 (* a (+ 3 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) b) (* a a)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1061 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (+ 3 a)) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* (* b b) 2) (* a a)) (+ (pow b 4) (pow a 4))) (* (+ (- 1 a) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (- 9 (* a a)) (+ a 1))) (* (+ (* (+ 1 (pow a 3)) (* (* (* b b) (- 9 (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a))))) (* (* (+ a 3) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* (* b b) 2) (* a a)) (+ (pow b 4) (pow a 4))) (* (+ (- 1 a) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (- 9 (* a a)) (+ a 1))) (* (+ (* (+ 1 (pow a 3)) (* (* (* b b) (- 9 (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a))))) (* (* (+ a 3) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 1062 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (165 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 3 a) (+ 1 (pow a 3))) (* (* (+ (- 1 a) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (- 1 a) (* a a)) (* (* a a) (- 3 a))) (- 1 (* (pow a 3) (pow a 3))))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 3 a) (+ 1 (pow a 3))) (* (* (+ (- 1 a) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (- 1 a) (* a a)) (* (* a a) (- 3 a))) (- 1 (* (pow a 3) (pow a 3))))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 1063 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (- a 1)) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (166 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* a a) 1) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (- 3 a) (* (+ (- 1 a) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (+ 1 (pow a 3)) (* (* (* b b) (- 9 (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a))))) (* (* (+ a -1) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (* a a) 1) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (- 3 a) (* (+ (- 1 a) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (+ 1 (pow a 3)) (* (* (* b b) (- 9 (* a a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a))))) (* (* (+ a -1) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (- a 1))))) 1)) * * * * [misc]progress: [ 1064 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* 4 (+ (* (+ 1 (pow a 3)) (* (* (* b b) (- 9 (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (- 1 a) (* a a)) (* (* a a) (- 3 a))) (- 1 (* (pow a 3) (pow a 3))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (* (* (+ (- 1 a) (* a a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (+ a 1) (- 3 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* 4 (+ (* (+ 1 (pow a 3)) (* (* (* b b) (- 9 (* a a))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (- 1 a) (* a a)) (* (* a a) (- 3 a))) (- 1 (* (pow a 3) (pow a 3))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (* (* (+ (- 1 a) (* a a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (+ a 1) (- 3 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 1065 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (+ (- 1 a) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (- 3 a) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (- 9 (* a a))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a))))) (* (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (+ (- 1 a) (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (- 3 a) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (- 9 (* a a))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (* a a) (- 3 a)) (+ (- 1 a) (* a a))))) (* (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 1066 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ -1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (- (* a a) 1) (* b b))) (- 9 (* a a))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ -1 a))))) (* (* 4 (* (+ 9 (* (+ a 3) a)) (+ (* a a) (- 1 a)))) (+ (* (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) b) (* a a))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ -1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (- (* a a) 1) (* b b))) (- 9 (* a a))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ -1 a))))) (* (* 4 (* (+ 9 (* (+ a 3) a)) (+ (* a a) (- 1 a)))) (+ (* (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) b) (* a a))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1067 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ (* a a) -1) (* b b))) (- 9 (* a a))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ a -1))))) (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ a -1)) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (+ (* 8 (pow (* (* b b) (* a a)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ (* a a) -1) (* b b))) (- 9 (* a a))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ a -1))))) (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ a -1)) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (+ (* 8 (pow (* (* b b) (* a a)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1068 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (201 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* (- (* a a) 1) (* b b)) (* (- 9 (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ a -1))))) (* (* 4 (* (+ a -1) (+ (* a (+ a 3)) 9))) (+ (* (* (* (* b 2) b) (* a a)) (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ a -1))) (* (* (- 27 (pow a 3)) (- (* a a) 1)) (+ (* 8 (pow (* (* b b) (* a a)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* (- (* a a) 1) (* b b)) (* (- 9 (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ a -1))))) (* (* 4 (* (+ a -1) (+ (* a (+ a 3)) 9))) (+ (* (* (* (* b 2) b) (* a a)) (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ a -1))) (* (* (- 27 (pow a 3)) (- (* a a) 1)) (+ (* 8 (pow (* (* b b) (* a a)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1069 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (188 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) 1)) (* (- 9 (* a a)) (* b b))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ -1 a))))) (* (* 4 (* (+ a 3) (+ -1 a))) (+ (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (- (* a a) 1) (- 9 (* a a)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ -1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) 1)) (* (- 9 (* a a)) (* b b))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ -1 a))))) (* (* 4 (* (+ a 3) (+ -1 a))) (+ (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (- (* a a) 1) (- 9 (* a a)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ -1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1070 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2)))) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) 1)) (* (- 9 (* a a)) (* b b))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ a -1))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (* (* (* b b) 2) (* a a)) (- (* (* (* b b) 2) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ a -1)) (* (+ a 1) (- 27 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2)))) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) 1)) (* (- 9 (* a a)) (* b b))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ a -1))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (* (* (* b b) 2) (* a a)) (- (* (* (* b b) 2) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ a -1)) (* (+ a 1) (- 27 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1071 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (- (* a a) 1) (* b b))) (- 9 (* a a))) (* (* (+ a -1) (* (* a a) (- 3 a))) (- 1 (pow (* a a) 3))))) (* (* 4 (+ a 3)) (+ (* (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) b) (* a a))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ a -1))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ a 1) (- 9 (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (- (* a a) 1) (* b b))) (- 9 (* a a))) (* (* (+ a -1) (* (* a a) (- 3 a))) (- 1 (pow (* a a) 3))))) (* (* 4 (+ a 3)) (+ (* (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) b) (* a a))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ a -1))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ a 1) (- 9 (* a a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1072 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (188 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* (- (* a a) 1) (* b b)) (* (- 9 (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ -1 a) (* (* a a) (- 3 a))) (- 1 (pow (* a a) 3))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ -1 a)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))) (* (* (- 3 a) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* (- (* a a) 1) (* b b)) (* (- 9 (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ -1 a) (* (* a a) (- 3 a))) (- 1 (pow (* a a) 3))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ -1 a)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))) (* (* (- 3 a) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1073 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* (+ (* a a) -1) (* b b)) (* (- 9 (* a a)) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ a -1))))) (* (* 4 (+ a -1)) (+ (* (* (* b (* b 2)) (* a a)) (- (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ a -1))) (* (* (- 3 a) (+ (* a a) -1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* (+ (* a a) -1) (* b b)) (* (- 9 (* a a)) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ a -1))))) (* (* 4 (+ a -1)) (+ (* (* (* b (* b 2)) (* a a)) (- (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ a -1))) (* (* (- 3 a) (+ (* a a) -1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1074 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (* (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ -1 a)))) (* (* (* 4 (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* a a) (- 1 a)) (+ 9 (* (+ a 3) a)))) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- 9 (* a a))) (* (- (* a a) 1) (* b b))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ -1 a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ -1 a)))) (* (* (* 4 (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* a a) (- 1 a)) (+ 9 (* (+ a 3) a)))) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- 9 (* a a))) (* (- (* a a) 1) (* b b))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ -1 a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1075 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) 1)) (* (- 9 (* a a)) (* b b))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ -1 a)))) (* (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ -1 a)) (* (+ (pow a 3) 1) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- (* a a) 1)) (* (- 9 (* a a)) (* b b))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ -1 a)))) (* (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ -1 a)) (* (+ (pow a 3) 1) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1076 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ -1 a)) (* (- 27 (pow a 3)) (- (* a a) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a))))) (* (+ (* (- 9 (* a a)) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (- (* a a) 1) (* b b)))) (* (* (+ -1 a) (* (* a a) (- 3 a))) (- 1 (pow (* a a) 3)))) (* (* (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (* (+ -1 a) (+ 9 (* a (+ a 3))))) 4))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ -1 a)) (* (- 27 (pow a 3)) (- (* a a) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a))))) (* (+ (* (- 9 (* a a)) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (- (* a a) 1) (* b b)))) (* (* (+ -1 a) (* (* a a) (- 3 a))) (- 1 (pow (* a a) 3)))) (* (* (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (* (+ -1 a) (+ 9 (* a (+ a 3))))) 4))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1077 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (- (* a a) 1) (* b b))) (- 9 (* a a))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ a -1)))) (* (* (* 4 (* (+ a -1) (+ a 3))) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ a -1)) (* (- 9 (* a a)) (- (* a a) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (- (* a a) 1) (* b b))) (- 9 (* a a))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ a -1)))) (* (* (* 4 (* (+ a -1) (+ a 3))) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ a -1)) (* (- 9 (* a a)) (- (* a a) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1078 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (* (* (+ a 1) (- 27 (pow a 3))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ a -1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))) (* (+ (* (* (- (* a a) 1) (* b b)) (* (- 9 (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ a -1) (* (* a a) (- 3 a))) (- 1 (pow (* a a) 3)))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (* (* (+ a 1) (- 27 (pow a 3))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ a -1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))) (* (+ (* (* (- (* a a) 1) (* b b)) (* (- 9 (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ a -1) (* (* a a) (- 3 a))) (- 1 (pow (* a a) 3)))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1079 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (- (* a a) 1) (* b b))) (- 9 (* a a))) (* (* (+ a -1) (* (* a a) (- 3 a))) (- 1 (pow (* a a) 3)))) (* (* (* 4 (+ a 3)) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) (* (* (- 9 (* a a)) (+ a 1)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ a -1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (- (* a a) 1) (* b b))) (- 9 (* a a))) (* (* (+ a -1) (* (* a a) (- 3 a))) (- 1 (pow (* a a) 3)))) (* (* (* 4 (+ a 3)) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))) (* (* (- 9 (* a a)) (+ a 1)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ a -1)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1080 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (+ a -1) (* (- 3 a) (+ 1 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (* (- (* a a) 1) (* b b)) (* (- 9 (* a a)) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ a -1) (* (* a a) (- 3 a))) (- 1 (pow (* a a) 3)))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (+ a -1) (* (- 3 a) (+ 1 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) 2) (* a a)) (* (* (* b b) 2) (* a a)))))) (* (+ (* (* (- (* a a) 1) (* b b)) (* (- 9 (* a a)) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ a -1) (* (* a a) (- 3 a))) (- 1 (pow (* a a) 3)))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1081 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (+ a -1) (* (- 3 a) (- (* a a) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b (* b 2)) (* a a)) (* (* b (* b 2)) (* a a)))))) (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- 9 (* a a))) (* (- (* a a) 1) (* b b))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ a -1)))) (* (* (* 4 (+ a -1)) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (+ a -1) (* (- 3 a) (- (* a a) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b (* b 2)) (* a a)) (* (* b (* b 2)) (* a a)))))) (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- 9 (* a a))) (* (- (* a a) 1) (* b b))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ a -1)))) (* (* (* 4 (+ a -1)) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1082 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (181 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (* (+ (pow a 3) 1) (- 27 (pow a 3))))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ -1 a))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- 9 (* a a))) (* (- (* a a) 1) (* b b))) (* (* (+ -1 a) (* (* a a) (- 3 a))) (- 1 (pow (* a a) 3)))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (* (+ (pow a 3) 1) (- 27 (pow a 3))))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ -1 a))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (- 9 (* a a))) (* (- (* a a) 1) (* b b))) (* (* (+ -1 a) (* (* a a) (- 3 a))) (- 1 (pow (* a a) 3)))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1083 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- a 1))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (- (* a a) 1) (* b b))) (- 9 (* a a))) (* (* (- a 1) (* (* a a) (- 3 a))) (- 1 (pow (* a a) 3)))) (* (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- a 1))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (- (* a a) 1) (* b b))) (- 9 (* a a))) (* (* (- a 1) (* (* a a) (- 3 a))) (- 1 (pow (* a a) 3)))) (* (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1084 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ -1 a))) (* (* (- 27 (pow a 3)) (- (* a a) 1)) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))) (* (+ (* (- (* a a) 1) (* (* (- 9 (* a a)) (* b b)) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ -1 a)))) (* (* (* 4 (+ -1 a)) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ -1 a))) (* (* (- 27 (pow a 3)) (- (* a a) 1)) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))) (* (+ (* (- (* a a) 1) (* (* (- 9 (* a a)) (* b b)) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ -1 a)))) (* (* (* 4 (+ -1 a)) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1085 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- a 1) (+ 3 a))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))) (* (- 9 (* a a)) (- (* a a) 1))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ -1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b (* b 2)) (* a a)) 3)))) (* (+ (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (- (* a a) 1) (* b b)) (- 9 (* a a)))) (* (* (+ -1 a) (* (* a a) (- 3 a))) (- 1 (pow (* a a) 3)))) (* (* (* 4 (+ a 3)) (+ -1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b (* b 2)) (* a a)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))) (* (- 9 (* a a)) (- (* a a) 1))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ -1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b (* b 2)) (* a a)) 3)))) (* (+ (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (- (* a a) 1) (* b b)) (- 9 (* a a)))) (* (* (+ -1 a) (* (* a a) (- 3 a))) (- 1 (pow (* a a) 3)))) (* (* (* 4 (+ a 3)) (+ -1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b (* b 2)) (* a a)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1086 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ a -1))) (* (* (- 27 (pow a 3)) (+ a 1)) (+ (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4))))) (* (+ (* (- (* a a) 1) (* (* (- 9 (* a a)) (* b b)) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ a -1)))) (* (+ (* 4 (* a (+ a 3))) 36) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ a -1))) (* (* (- 27 (pow a 3)) (+ a 1)) (+ (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4))))) (* (+ (* (- (* a a) 1) (* (* (- 9 (* a a)) (* b b)) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ a -1)))) (* (+ (* 4 (* a (+ a 3))) 36) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1087 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (+ 3 a)) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (157 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ a -1)) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (* (- 9 (* a a)) (+ a 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (- (* a a) 1) (* b b))) (- 9 (* a a))) (* (* (+ a -1) (* (* a a) (- 3 a))) (- 1 (pow (* a a) 3)))) (* (+ (* a 4) 12) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ a -1)) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (* (- 9 (* a a)) (+ a 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (- (* a a) 1) (* b b))) (- 9 (* a a))) (* (* (+ a -1) (* (* a a) (- 3 a))) (- 1 (pow (* a a) 3)))) (* (+ (* a 4) 12) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (+ 3 a))))) 1)) * * * * [misc]progress: [ 1088 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ -1 a) (* (+ 1 (pow a 3)) (- 3 a))) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))) (* (+ (* (* (- (* a a) 1) (* b b)) (* (- 9 (* a a)) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (* a a) (- 3 a)) (+ -1 a)))) (* (* (+ (* a a) (- 1 a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ -1 a) (* (+ 1 (pow a 3)) (- 3 a))) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))) (* (+ (* (* (- (* a a) 1) (* b b)) (* (- 9 (* a a)) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (* a a) (- 3 a)) (+ -1 a)))) (* (* (+ (* a a) (- 1 a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 1089 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (- a 1)) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (143 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 9 (* a a)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ (* a a) -1) (* b b)))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ a -1)))) (* (* 4 (+ a -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (* (+ a -1) (* (- 3 a) (+ (* a a) -1))) (+ (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 9 (* a a)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ (* a a) -1) (* b b)))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (+ a -1)))) (* (* 4 (+ a -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3))))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (* (* (+ a -1) (* (- 3 a) (+ (* a a) -1))) (+ (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (- a 1))))) 1)) * * * * [misc]progress: [ 1090 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 3 a) (+ a 1)) (+ (pow (* a (* (* b 2) (* b a))) 3) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ -1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)) (+ (* (- 9 (* a a)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ (* a a) -1) (* b b)))) (* (* (+ -1 a) (* (* a a) (- 3 a))) (- 1 (pow (* a a) 3))))) (* 4 (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 3 a) (+ a 1)) (+ (pow (* a (* (* b 2) (* b a))) 3) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ -1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)) (+ (* (- 9 (* a a)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ (* a a) -1) (* b b)))) (* (* (+ -1 a) (* (* a a) (- 3 a))) (- 1 (pow (* a a) 3))))) (* 4 (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 1091 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (- a 1) (* (+ a 1) (- 3 a))) (* (- (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4)))))) (* (+ (* (* (- (* a a) 1) (* b b)) (* (- 9 (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (- a 1)))) (* (* 4 (- (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (* (- a 1) (* (+ a 1) (- 3 a))) (* (- (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))) (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4)))))) (* (+ (* (* (- (* a a) 1) (* b b)) (* (- 9 (* a a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 3 a)) (- a 1)))) (* (* 4 (- (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a)))) (- a 1)) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 1092 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (220 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3)) (+ (* (+ (* a a) (- 1 a)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))) (* (+ 1 (* a a)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3))))))) (* (* 4 (* (+ 9 (* (+ a 3) a)) (+ (* a a) (- 1 a)))) (+ (* (* (* b 2) (* b (* a a))) (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (- 27 (pow a 3)) (+ 1 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3)) (+ (* (+ (* a a) (- 1 a)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))) (* (+ 1 (* a a)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3))))))) (* (* 4 (* (+ 9 (* (+ a 3) a)) (+ (* a a) (- 1 a)))) (+ (* (* (* b 2) (* b (* a a))) (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (- 27 (pow a 3)) (+ 1 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1093 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (* a a) (- 1 a))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (* (* b b) (+ 1 (pow a 3))) (* (- 729 (* (pow a 3) (pow a 3))) (+ 1 (* a a)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ a 3))) (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (* a a) (- 1 a))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (* (* b b) (+ 1 (pow a 3))) (* (- 729 (* (pow a 3) (pow a 3))) (+ 1 (* a a)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ a 3))) (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1094 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* a 9) a) (+ (pow a 4) 81)) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (* a a) 1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (* (+ (* (* a 9) a) (+ (pow a 4) 81)) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (* b b) (- 729 (* (pow a 3) (pow a 3))))))) (* (* 4 (* (+ a -1) (+ 9 (* a (+ a 3))))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* a 9) a) (+ (pow a 4) 81)) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (* a a) 1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (* (+ (* (* a 9) a) (+ (pow a 4) 81)) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (* b b) (- 729 (* (pow a 3) (pow a 3))))))) (* (* 4 (* (+ a -1) (+ 9 (* a (+ a 3))))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1095 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (216 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- (* a a) 1) (- 9 (* a a)))) (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (+ (* a a) (- 1 a))) (* (* (+ 1 (* a a)) (- 729 (* (pow a 3) (pow a 3)))) (* (* b b) (+ 1 (pow a 3)))))) (* (* 4 (* (+ a 3) (+ -1 a))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- (* a a) 1) (- 9 (* a a)))) (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (+ (* a a) (- 1 a))) (* (* (+ 1 (* a a)) (- 729 (* (pow a 3) (pow a 3)))) (* (* b b) (+ 1 (pow a 3)))))) (* (* 4 (* (+ a 3) (+ -1 a))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1096 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (218 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (- 1 (pow a 4)) (* (* (* a a) (- 3 a)) (+ (* a a) (- 1 a))))) (* (* (+ 1 (* a a)) (- 729 (* (pow a 3) (pow a 3)))) (* (* b b) (+ 1 (pow a 3)))))) (* (* 4 (+ 9 (* (+ a 3) a))) (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (- 27 (pow a 3)) (+ a 1))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (- 1 (pow a 4)) (* (* (* a a) (- 3 a)) (+ (* a a) (- 1 a))))) (* (* (+ 1 (* a a)) (- 729 (* (pow a 3) (pow a 3)))) (* (* b b) (+ 1 (pow a 3)))))) (* (* 4 (+ 9 (* (+ a 3) a))) (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (- 27 (pow a 3)) (+ a 1))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1097 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3)) (+ (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (* (* (* a a) (- 3 a)) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))))) (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (* b b) (- 729 (* (pow a 3) (pow a 3))))))) (* (* 4 (+ a 3)) (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3)) (* (* (+ a 1) (- 9 (* a a))) (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (+ (* (* a a) 9) (+ (pow a 4) 81))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3)) (+ (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (* (* (* a a) (- 3 a)) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))))) (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (* b b) (- 729 (* (pow a 3) (pow a 3))))))) (* (* 4 (+ a 3)) (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3)) (* (* (+ a 1) (- 9 (* a a))) (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (+ (* (* a a) 9) (+ (pow a 4) 81))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1098 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 3 a) (+ 1 (pow a 3)))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (* a a) (- 3 a))) (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (* b b) (- 729 (* (pow a 3) (pow a 3))))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 3 a) (+ 1 (pow a 3)))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (* a a) (- 3 a))) (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (* b b) (- 729 (* (pow a 3) (pow a 3))))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1099 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ (* a a) (- 1 a)) (+ 1 (* a a))))) (* (* (- 3 a) (- (* a a) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* a a) (- 3 a)) (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (+ 1 (* a a)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3))))))) (* (* 4 (+ a -1)) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ (* a a) (- 1 a)) (+ 1 (* a a))))) (* (* (- 3 a) (- (* a a) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* a a) (- 3 a)) (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (+ 1 (* a a)) (* (* (* b b) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3))))))) (* (* 4 (+ a -1)) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1100 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))) (* (* (* 4 (* (+ 9 (* a (+ a 3))) (+ (* a a) (- 1 a)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ (* (* a a) 9) (+ (pow a 4) 81))) (* (* a a) (- 3 a))) (* (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* b b)) (- 729 (* (pow a 3) (pow a 3))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))) (* (* (* 4 (* (+ 9 (* a (+ a 3))) (+ (* a a) (- 1 a)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ (* (* a a) 9) (+ (pow a 4) 81))) (* (* a a) (- 3 a))) (* (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* b b)) (- 729 (* (pow a 3) (pow a 3))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1101 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (201 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* a a) (- 1 a)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))) (* (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* b b)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (* 4 (* (+ (* a a) (- 1 a)) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (+ (+ (pow a 4) 81) (* (* a a) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* a a) (- 1 a)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))) (* (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* b b)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (* 4 (* (+ (* a a) (- 1 a)) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (+ (+ (pow a 4) 81) (* (* a a) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1102 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (219 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (* a a) (- 3 a))) (* (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* b b)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (+ -1 a) (+ 9 (* (+ a 3) a)))) 4)) (* (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (- (* a a) 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (* a a) (- 3 a))) (* (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* b b)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (+ -1 a) (+ 9 (* (+ a 3) a)))) 4)) (* (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (- (* a a) 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1103 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ 1 (* a a))) (* (* (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (+ (* a a) (- 1 a))) (* (- 9 (* a a)) (- (* a a) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))))) (* (+ (* (+ (* a a) (- 1 a)) (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))) (* (* (+ 1 (* a a)) (- 729 (* (pow a 3) (pow a 3)))) (* (* b b) (+ 1 (pow a 3))))) (* (* (* 4 (* (+ a -1) (+ a 3))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ 1 (* a a))) (* (* (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (+ (* a a) (- 1 a))) (* (- 9 (* a a)) (- (* a a) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))))) (* (+ (* (+ (* a a) (- 1 a)) (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))) (* (* (+ 1 (* a a)) (- 729 (* (pow a 3) (pow a 3)))) (* (* b b) (+ 1 (pow a 3))))) (* (* (* 4 (* (+ a -1) (+ a 3))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1104 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (+ a 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (+ (* a a) (- 1 a)) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))) (* (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* b b)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (+ a 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (+ (* a a) (- 1 a)) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))) (* (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* b b)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1105 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* a a) (- 1 a)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))) (* (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* b b)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ 1 (* a a))) (* (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* a a) (- 1 a))) (* (- 9 (* a a)) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* a a) (- 1 a)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))) (* (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* b b)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ 1 (* a a))) (* (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* a a) (- 1 a))) (* (- 9 (* a a)) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1106 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (- 3 a) (+ 1 (pow a 3)))) (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (+ (* a (* a 9)) (+ (pow a 4) 81))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (* a a) (- 1 a))) (+ (* a (* a 9)) (+ (pow a 4) 81))) (* (* (* (+ 1 (* a a)) (* b b)) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (- 3 a) (+ 1 (pow a 3)))) (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (+ (* a (* a 9)) (+ (pow a 4) 81))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (* a a) (- 1 a))) (+ (* a (* a 9)) (+ (pow a 4) 81))) (* (* (* (+ 1 (* a a)) (* b b)) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1107 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))) (* (- (* a a) 1) (- 3 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (+ (* a a) (- 1 a)) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))) (* (* (+ 1 (* a a)) (- 729 (* (pow a 3) (pow a 3)))) (* (* b b) (+ 1 (pow a 3))))) (* (* (* 4 (+ -1 a)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))) (* (- (* a a) 1) (- 3 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (+ (* a a) (- 1 a)) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))) (* (* (+ 1 (* a a)) (- 729 (* (pow a 3) (pow a 3)))) (* (* b b) (+ 1 (pow a 3))))) (* (* (* 4 (+ -1 a)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1108 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 (pow a 4)) (* (* (* a a) (- 3 a)) (+ (* a a) (- 1 a)))) (+ (* (* a a) 9) (+ (pow a 4) 81))) (* (* (+ 1 (* a a)) (- 729 (* (pow a 3) (pow a 3)))) (* (* b b) (+ 1 (pow a 3))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))) (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 1 (pow a 4)) (* (* (* a a) (- 3 a)) (+ (* a a) (- 1 a)))) (+ (* (* a a) 9) (+ (pow a 4) 81))) (* (* (+ 1 (* a a)) (- 729 (* (pow a 3) (pow a 3)))) (* (* b b) (+ 1 (pow a 3))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))) (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1109 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ (* a a) (- 1 a)) (+ 1 (* a a))))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* a a) (- 1 a)))) (* (* (* b b) (+ 1 (pow a 3))) (* (- 729 (* (pow a 3) (pow a 3))) (+ 1 (* a a))))) (* (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ (* a a) (- 1 a)) (+ 1 (* a a))))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* a a) (- 1 a)))) (* (* (* b b) (+ 1 (pow a 3))) (* (- 729 (* (pow a 3) (pow a 3))) (+ 1 (* a a))))) (* (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1110 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (* (* (* a a) (- 3 a)) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ 1 (* a a)) (* b b)) (+ 1 (pow a 3))))) (* (* (* 4 (+ a -1)) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))) (* (+ (* a a) -1) (- 27 (pow a 3)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (* (* (* a a) (- 3 a)) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ 1 (* a a)) (* b b)) (+ 1 (pow a 3))))) (* (* (* 4 (+ a -1)) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))) (* (+ (* a a) -1) (- 27 (pow a 3)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1111 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ 3 a))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (187 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))) (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (- (* a a) 1) (- 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)))) (* (+ (* (+ (* a a) (- 1 a)) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))) (* (* (+ 1 (* a a)) (- 729 (* (pow a 3) (pow a 3)))) (* (* b b) (+ 1 (pow a 3))))) (* (* 4 (* (+ a 3) (- a 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))) (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (- (* a a) 1) (- 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)))) (* (+ (* (+ (* a a) (- 1 a)) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))) (* (* (+ 1 (* a a)) (- 729 (* (pow a 3) (pow a 3)))) (* (* b b) (+ 1 (pow a 3))))) (* (* 4 (* (+ a 3) (- a 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1112 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (* a a) (- 1 a))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (* (+ 1 (* a a)) (- 729 (* (pow a 3) (pow a 3)))) (* (* b b) (+ 1 (pow a 3))))) (* (+ 36 (* (* a (+ a 3)) 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ (* a a) (- 1 a)) (+ 1 (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))) (* (- 27 (pow a 3)) (+ a 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (* a a) (- 1 a))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (* (+ 1 (* a a)) (- 729 (* (pow a 3) (pow a 3)))) (* (* b b) (+ 1 (pow a 3))))) (* (+ 36 (* (* a (+ a 3)) 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ (* a a) (- 1 a)) (+ 1 (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))) (* (- 27 (pow a 3)) (+ a 1))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1113 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ 3 a)) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ 1 (* a a))) (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a)))) (* (+ a 1) (- 9 (* a a)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* a a) (- 1 a))))) (* (+ (* (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (* a a) (- 3 a))) (* (* (* (+ 1 (* a a)) (* b b)) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3))))) (* (* (+ a 3) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ 1 (* a a))) (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a)))) (* (+ a 1) (- 9 (* a a)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* a a) (- 1 a))))) (* (+ (* (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (* a a) (- 3 a))) (* (* (* (+ 1 (* a a)) (* b b)) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3))))) (* (* (+ a 3) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 1114 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* a a) (- 1 a)))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ 1 (* a a)) (* b b)) (+ 1 (pow a 3))))) (* (* 4 (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* 2 a))) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* 2 a))) 3)) (+ 1 (* a a))) (* (* (* (- 3 a) (+ 1 (pow a 3))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* a a) (- 1 a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* a a) (- 1 a)))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ 1 (* a a)) (* b b)) (+ 1 (pow a 3))))) (* (* 4 (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* 2 a))) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* 2 a))) 3)) (+ 1 (* a a))) (* (* (* (- 3 a) (+ 1 (pow a 3))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* a a) (- 1 a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 1115 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- a 1)) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (- 3 a) (- (* a a) 1)))) (* (+ (* (* (* a a) (- 3 a)) (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (* (* b b) (+ 1 (pow a 3))) (* (- 729 (* (pow a 3) (pow a 3))) (+ 1 (* a a))))) (* (+ (* a 4) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (- 3 a) (- (* a a) 1)))) (* (+ (* (* (* a a) (- 3 a)) (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (* (* b b) (+ 1 (pow a 3))) (* (- 729 (* (pow a 3) (pow a 3))) (+ 1 (* a a))))) (* (+ (* a 4) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (- a 1))))) 1)) * * * * [misc]progress: [ 1116 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 3 a) (+ a 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* 4 (+ (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (* (* a a) (- 3 a)) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))))) (* (* (* b b) (+ 1 (pow a 3))) (* (- 729 (* (pow a 3) (pow a 3))) (+ 1 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 3 a) (+ a 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* 4 (+ (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (* (* a a) (- 3 a)) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))))) (* (* (* b b) (+ 1 (pow a 3))) (* (- 729 (* (pow a 3) (pow a 3))) (+ 1 (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 1117 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (182 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ (* a a) (- 1 a)) (+ 1 (* a a))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (- 3 a) (+ a 1)))) (* (+ (* (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (* a a) (- 3 a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* b b)))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ (* a a) (- 1 a)) (+ 1 (* a a))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (- 3 a) (+ a 1)))) (* (+ (* (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (* a a) (- 3 a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* b b)))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 1118 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 27 (pow a 3)) (+ (pow a 3) 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (+ (* a a) (- 1 a)) (* (+ (* a a) 9) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* 4 (+ (* (* (+ 1 (* a a)) (+ (pow a 3) 1)) (* (* b b) (- 81 (pow a 4)))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))))) (* (* (+ 9 (* a (+ a 3))) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 27 (pow a 3)) (+ (pow a 3) 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (+ (* a a) (- 1 a)) (* (+ (* a a) 9) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* 4 (+ (* (* (+ 1 (* a a)) (+ (pow a 3) 1)) (* (* b b) (- 81 (pow a 4)))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))))) (* (* (+ 9 (* a (+ a 3))) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1119 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) (- 1 a)) (+ a 3)) (+ (* (* (* (* b 2) (* b a)) a) (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (* 4 (+ (* (* (+ (pow a 3) 1) (* b b)) (* (- 81 (pow a 4)) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (+ 1 (* a a)) (+ (* a a) 9)) (+ (* a a) (- 1 a))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (+ (pow a 3) 1) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* a a) (- 1 a)) (+ a 3)) (+ (* (* (* (* b 2) (* b a)) a) (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (* 4 (+ (* (* (+ (pow a 3) 1) (* b b)) (* (- 81 (pow a 4)) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (+ 1 (* a a)) (+ (* a a) 9)) (+ (* a a) (- 1 a))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (+ (pow a 3) 1) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1120 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ 1 (* a a))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (- (* a a) 1) (- 27 (pow a 3)))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* 4 (+ (* (* (+ 1 (* a a)) (+ (pow a 3) 1)) (* (* b b) (- 81 (pow a 4)))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))))) (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* (+ 9 (* a (+ a 3))) (+ -1 a))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ 1 (* a a))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (- (* a a) 1) (- 27 (pow a 3)))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* 4 (+ (* (* (+ 1 (* a a)) (+ (pow a 3) 1)) (* (* b b) (- 81 (pow a 4)))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))))) (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* (+ 9 (* a (+ a 3))) (+ -1 a))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1121 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ (pow a 3) 1) (* b b)) (* (- 81 (pow a 4)) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))))) (* (* 4 (* (+ a -1) (+ a 3))) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (+ (* a a) (- 1 a)) (* (+ (* a a) 9) (+ 1 (* a a)))) (* (- (* a a) 1) (- 9 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ (pow a 3) 1) (* b b)) (* (- 81 (pow a 4)) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))))) (* (* 4 (* (+ a -1) (+ a 3))) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (+ (* a a) (- 1 a)) (* (+ (* a a) 9) (+ 1 (* a a)))) (* (- (* a a) 1) (- 9 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1122 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ 1 (* a a)) (* (+ (* a a) (- 1 a)) (+ (* a a) 9)))) (* (* (- 27 (pow a 3)) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (+ (* (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* 2 (* (* a a) (* b b)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* 4 (+ (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))))) (* (+ 9 (* a (+ a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ 1 (* a a)) (* (+ (* a a) (- 1 a)) (+ (* a a) 9)))) (* (* (- 27 (pow a 3)) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (+ (* (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* 2 (* (* a a) (* b b)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* 4 (+ (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))))) (* (+ 9 (* a (+ a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1123 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (pow a 3) 1) (* b b)) (* (- 81 (pow a 4)) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))))) (* (* 4 (+ a 3)) (+ (* (* (* (* b 2) (* b a)) a) (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a a) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- 9 (* a a)) (+ a 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (pow a 3) 1) (* b b)) (* (- 81 (pow a 4)) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))))) (* (* 4 (+ a 3)) (+ (* (* (* (* b 2) (* b a)) a) (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a a) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- 9 (* a a)) (+ a 1))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1124 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (182 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)) (+ 1 (* a a))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (- 3 a) (+ (pow a 3) 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)) (+ (* (* (+ 1 (* a a)) (+ (pow a 3) 1)) (* (* b b) (- 81 (pow a 4)))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)) (+ 1 (* a a))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (- 3 a) (+ (pow a 3) 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)) (+ (* (* (+ 1 (* a a)) (+ (pow a 3) 1)) (* (* b b) (- 81 (pow a 4)))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1125 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* 4 (+ (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))))) (* (+ a -1) (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (* a a) (- 1 a)) (* (+ (* a a) 9) (+ 1 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- 3 a) (- (* a a) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* 4 (+ (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))))) (* (+ a -1) (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (* a a) (- 1 a)) (* (+ (* a a) 9) (+ 1 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- 3 a) (- (* a a) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1126 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))) (* (+ (pow a 3) 1) (- 27 (pow a 3)))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- 1 a)) (+ (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* (* (+ (pow a 3) 1) (* b b)) (* (- 81 (pow a 4)) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))) (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) (* (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))) (* (+ (pow a 3) 1) (- 27 (pow a 3)))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- 1 a)) (+ (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* (* (+ (pow a 3) 1) (* b b)) (* (- 81 (pow a 4)) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))) (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) (* (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1127 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (* a a) 9)) (* (+ (pow a 3) 1) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (+ (* (* (+ 1 (* a a)) (+ (pow a 3) 1)) (* (* b b) (- 81 (pow a 4)))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))) (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (* a a) 9)) (* (+ (pow a 3) 1) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (+ (* (* (+ 1 (* a a)) (+ (pow a 3) 1)) (* (* b b) (- 81 (pow a 4)))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))) (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1128 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 1 (* a a)) (+ (pow a 3) 1)) (* (* b b) (- 81 (pow a 4)))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))))) (* (* 4 (* (+ a -1) (+ 9 (* a (+ a 3))))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (* (+ (* a a) (- 1 a)) (* (+ (* a a) 9) (+ 1 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 1 (* a a)) (+ (pow a 3) 1)) (* (* b b) (- 81 (pow a 4)))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))))) (* (* 4 (* (+ a -1) (+ 9 (* a (+ a 3))))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (* (+ (* a a) (- 1 a)) (* (+ (* a a) 9) (+ 1 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1129 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ (* a a) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))) (* (- (* a a) 1) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))) (* (* (* 4 (* (+ -1 a) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (+ (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (+ (* a a) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))) (* (- (* a a) 1) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))) (* (* (* 4 (* (+ -1 a) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (+ (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1130 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))) (* (* 4 (+ 9 (* a (+ a 3)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) (* (* (* (+ (* a a) (- 1 a)) (* (+ (* a a) 9) (+ 1 (* a a)))) (* (- 27 (pow a 3)) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))) (* (* 4 (+ 9 (* a (+ a 3)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) (* (* (* (+ (* a a) (- 1 a)) (* (+ (* a a) 9) (+ 1 (* a a)))) (* (- 27 (pow a 3)) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1131 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (pow a 3) 1) (* b b)) (* (- 81 (pow a 4)) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ 1 (* a a))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (+ a 1) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (pow a 3) 1) (* b b)) (* (- 81 (pow a 4)) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ 1 (* a a))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (+ a 1) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1132 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* 4 (+ (* a a) (- 1 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (+ (* (* (+ (pow a 3) 1) (* b b)) (* (- 81 (pow a 4)) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))))) (* (* (* (+ (* a a) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))) (* (- 3 a) (+ (pow a 3) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* 4 (+ (* a a) (- 1 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (+ (* (* (+ (pow a 3) 1) (* b b)) (* (- 81 (pow a 4)) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))))) (* (* (* (+ (* a a) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))) (* (- 3 a) (+ (pow a 3) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1133 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (* (- 3 a) (- (* a a) 1)) (* (+ (* a a) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))))) (* (+ (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))) (* (* 4 (+ -1 a)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (* (- 3 a) (- (* a a) 1)) (* (+ (* a a) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))))) (* (+ (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))) (* (* 4 (+ -1 a)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1134 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* 4 (+ (* a a) (- 1 a))) (+ 9 (* (+ a 3) a))) (+ (* (* (+ (pow a 3) 1) (* b b)) (* (- 81 (pow a 4)) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (* (+ 1 (* a a)) (+ (* a a) 9)) (+ (* a a) (- 1 a)))) (* (+ (pow a 3) 1) (- 27 (pow a 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* 4 (+ (* a a) (- 1 a))) (+ 9 (* (+ a 3) a))) (+ (* (* (+ (pow a 3) 1) (* b b)) (* (- 81 (pow a 4)) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (* (+ 1 (* a a)) (+ (* a a) 9)) (+ (* a a) (- 1 a)))) (* (+ (pow a 3) 1) (- 27 (pow a 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1135 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (164 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ 1 (* a a))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (- 9 (* a a)) (+ (pow a 3) 1))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))) (+ (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ 1 (* a a))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (- 9 (* a a)) (+ (pow a 3) 1))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))) (+ (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1136 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (182 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* 4 (+ a -1)) (+ (* (+ a 3) a) 9)) (+ (* (* (+ 1 (* a a)) (+ (pow a 3) 1)) (* (* b b) (- 81 (pow a 4)))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))))) (* (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (- (* a a) 1) (- 27 (pow a 3)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* 4 (+ a -1)) (+ (* (+ a 3) a) 9)) (+ (* (* (+ 1 (* a a)) (+ (pow a 3) 1)) (* (* b b) (- 81 (pow a 4)))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))))) (* (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (- (* a a) 1) (- 27 (pow a 3)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1137 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ 3 a))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3)) (+ (* (* (* 4 (+ a 3)) (+ -1 a)) (+ (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))))) (* (* (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (- (* a a) 1)) (* (- 9 (* a a)) (* (* (+ 1 (* a a)) (+ (* a a) 9)) (+ (* a a) (- 1 a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3)) (+ (* (* (* 4 (+ a 3)) (+ -1 a)) (+ (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))))) (* (* (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (- (* a a) 1)) (* (- 9 (* a a)) (* (* (+ 1 (* a a)) (+ (* a a) 9)) (+ (* a a) (- 1 a))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1138 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ 36 (* 4 (* (+ a 3) a))) (+ (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))))) (* (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (+ a 1) (- 27 (pow a 3)))) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ 1 (* a a))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ 36 (* 4 (* (+ a 3) a))) (+ (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))))) (* (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (+ a 1) (- 27 (pow a 3)))) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ 1 (* a a))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1139 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ 3 a)) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (162 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (- 9 (* a a)) (+ a 1)) (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ (* a a) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a))))) (* (* (+ a 3) 4) (+ (* (* (+ 1 (* a a)) (+ (pow a 3) 1)) (* (* b b) (- 81 (pow a 4)))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (- 9 (* a a)) (+ a 1)) (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ (* a a) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a))))) (* (* (+ a 3) 4) (+ (* (* (+ 1 (* a a)) (+ (pow a 3) 1)) (* (* b b) (- 81 (pow a 4)))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 1140 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * [exit]simplify: Simplified to (* (+ (* (* (- 3 a) (+ (pow a 3) 1)) (* (* (* (+ 1 (* a a)) (+ (* a a) 9)) (+ (* a a) (- 1 a))) (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))) (* 4 (+ (* a a) (- 1 a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (- 3 a) (+ (pow a 3) 1)) (* (* (* (+ 1 (* a a)) (+ (* a a) 9)) (+ (* a a) (- 1 a))) (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))) (* 4 (+ (* a a) (- 1 a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 1141 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- a 1)) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (154 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ 1 (* a a)) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (- (* a a) 1) (- 3 a))) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))) (* (+ -1 a) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ 1 (* a a)) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (- (* a a) 1) (- 3 a))) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))) (* (+ -1 a) 4)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (- a 1))))) 1)) * * * * [misc]progress: [ 1142 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ 1 (* a a))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (+ a 1) (- 3 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* (* (* (* b 2) (* b a)) a) (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* 4 (+ (* (* (+ 1 (* a a)) (+ (pow a 3) 1)) (* (* b b) (- 81 (pow a 4)))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ 1 (* a a))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (+ a 1) (- 3 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* (* (* (* b 2) (* b a)) a) (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* 4 (+ (* (* (+ 1 (* a a)) (+ (pow a 3) 1)) (* (* b b) (- 81 (pow a 4)))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 1143 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (166 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ 1 (* a a))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (- 3 a) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))) (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ 1 (* a a))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (- 3 a) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (+ (pow a 3) 1) (* b b))) (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))) (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) 4)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 1144 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ -1 a) (+ 1 (* a a))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ (* a a) -1) (* b b)) (* (- 729 (* (pow a 3) (pow a 3))) (+ 1 (* a a)))) (* (+ -1 a) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ -1 a) (+ 1 (* a a))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ (* a a) -1) (* b b)) (* (- 729 (* (pow a 3) (pow a 3))) (+ 1 (* a a)))) (* (+ -1 a) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1145 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (- (* a a) 1) (* b b)) (* (- 729 (* (pow a 3) (pow a 3))) (+ 1 (* a a)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (* (* a a) (- 3 a)) (* (- 1 (pow a 4)) (+ a -1)))))) (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (+ a -1) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (- (* a a) 1) (* b b)) (* (- 729 (* (pow a 3) (pow a 3))) (+ 1 (* a a)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (* (* a a) (- 3 a)) (* (- 1 (pow a 4)) (+ a -1)))))) (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (+ a -1) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1146 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (216 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (- 27 (pow a 3)) (- (* a a) 1)) (* (* (+ -1 a) (+ 1 (* a a))) (+ (+ (pow a 4) 81) (* 9 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ 1 (* a a)) (- (* a a) 1)) (* (* b b) (- 729 (pow (* a a) 3)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (* (* a a) (- 3 a)) (* (- 1 (pow a 4)) (+ -1 a)))))) (* (* 4 (* (+ -1 a) (+ 9 (* a (+ a 3))))) (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (- 27 (pow a 3)) (- (* a a) 1)) (* (* (+ -1 a) (+ 1 (* a a))) (+ (+ (pow a 4) 81) (* 9 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ 1 (* a a)) (- (* a a) 1)) (* (* b b) (- 729 (pow (* a a) 3)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (* (* a a) (- 3 a)) (* (- 1 (pow a 4)) (+ -1 a)))))) (* (* 4 (* (+ -1 a) (+ 9 (* a (+ a 3))))) (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1147 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (205 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- (* a a) 1) (- 9 (* a a)))) (* (* (+ 81 (* (+ (* a a) 9) (* a a))) (* (+ a -1) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 1 (* a a)) (- (* a a) 1)) (* (* b b) (- 729 (* (pow a 3) (pow a 3))))) (* (+ 81 (* (+ (* a a) 9) (* a a))) (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (+ a -1)))))) (* (* 4 (* (+ a -1) (+ a 3))) (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- (* a a) 1) (- 9 (* a a)))) (* (* (+ 81 (* (+ (* a a) 9) (* a a))) (* (+ a -1) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 1 (* a a)) (- (* a a) 1)) (* (* b b) (- 729 (* (pow a 3) (pow a 3))))) (* (+ 81 (* (+ (* a a) 9) (* a a))) (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (+ a -1)))))) (* (* 4 (* (+ a -1) (+ a 3))) (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1148 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (+ a -1) (+ 1 (* a a)))) (* (- 27 (pow a 3)) (+ a 1))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ 1 (* a a)) (- (* a a) 1)) (* b b)) (- 729 (pow (* a a) 3))) (* (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ a -1)))) (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (+ a -1) (+ 1 (* a a)))) (* (- 27 (pow a 3)) (+ a 1))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ 1 (* a a)) (- (* a a) 1)) (* b b)) (- 729 (pow (* a a) 3))) (* (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (+ a -1)))) (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1149 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (203 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- a 1) (+ 1 (* a a))) (+ 81 (* (+ (* a a) 9) (* a a))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- 9 (* a a)) (+ a 1)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (- (* a a) 1) (* b b)) (+ 1 (* a a))) (- 729 (* (pow a 3) (pow a 3)))) (* (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (- a 1))) (+ 81 (* (+ (* a a) 9) (* a a)))))) (* (* 4 (+ a 3)) (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- a 1) (+ 1 (* a a))) (+ 81 (* (+ (* a a) 9) (* a a))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- 9 (* a a)) (+ a 1)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (- (* a a) 1) (* b b)) (+ 1 (* a a))) (- 729 (* (pow a 3) (pow a 3)))) (* (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (- a 1))) (+ 81 (* (+ (* a a) 9) (* a a)))))) (* (* 4 (+ a 3)) (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1150 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ a -1) (+ 1 (* a a))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (* (- 3 a) (+ 1 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 1 (* a a)) (- 729 (* (pow a 3) (pow a 3)))) (* (- (* a a) 1) (* b b))) (* (* (* (* a a) (- 3 a)) (* (- 1 (pow a 4)) (+ a -1))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (* (+ a -1) (+ 1 (* a a))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (* (- 3 a) (+ 1 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 1 (* a a)) (- 729 (* (pow a 3) (pow a 3)))) (* (- (* a a) 1) (* b b))) (* (* (* (* a a) (- 3 a)) (* (- 1 (pow a 4)) (+ a -1))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1151 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (188 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- a 1) (+ 1 (* a a))) (+ 81 (* (+ (* a a) 9) (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- 3 a) (- (* a a) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ 1 (* a a)) (- (* a a) 1)) (* b b))) (* (+ 81 (* (+ (* a a) 9) (* a a))) (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (- a 1)))))) (* (* 4 (- a 1)) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- a 1) (+ 1 (* a a))) (+ 81 (* (+ (* a a) 9) (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- 3 a) (- (* a a) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ 1 (* a a)) (- (* a a) 1)) (* b b))) (* (+ 81 (* (+ (* a a) 9) (* a a))) (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (- a 1)))))) (* (* 4 (- a 1)) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1152 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (219 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (+ 1 (* a a)) (- 729 (* (pow a 3) (pow a 3)))) (* (- (* a a) 1) (* b b))) (* (* (* a a) (- 3 a)) (* (* (- 1 (pow a 4)) (+ -1 a)) (+ (+ (pow a 4) 81) (* 9 (* a a)))))) (* (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (* (* (+ -1 a) (+ 1 (* a a))) (+ (+ (pow a 4) 81) (* 9 (* a a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (* (+ 1 (* a a)) (- 729 (* (pow a 3) (pow a 3)))) (* (- (* a a) 1) (* b b))) (* (* (* a a) (- 3 a)) (* (* (- 1 (pow a 4)) (+ -1 a)) (+ (+ (pow a 4) 81) (* 9 (* a a)))))) (* (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (* (* (+ -1 a) (+ 1 (* a a))) (+ (+ (pow a 4) 81) (* 9 (* a a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1153 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (208 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ 1 (* a a)) (- (* a a) 1)) (* b b))) (* (* (* a a) (- 3 a)) (* (* (- 1 (pow a 4)) (+ a -1)) (+ (+ 81 (pow a 4)) (* 9 (* a a)))))) (* (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* (+ a -1) (+ 1 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))) (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ 1 (* a a)) (- (* a a) 1)) (* b b))) (* (* (* a a) (- 3 a)) (* (* (- 1 (pow a 4)) (+ a -1)) (+ (+ 81 (pow a 4)) (* 9 (* a a)))))) (* (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* (+ a -1) (+ 1 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))) (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1154 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (208 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (+ a -1) (+ 1 (* a a)))) (* (- (* a a) 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (+ (* (* (* (- (* a a) 1) (* b b)) (+ 1 (* a a))) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* (* a a) (- 3 a)) (* (- 1 (pow a 4)) (+ a -1))) (+ (+ (pow a 4) 81) (* 9 (* a a))))) (* (* 4 (* (+ a -1) (+ 9 (* a (+ a 3))))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (+ a -1) (+ 1 (* a a)))) (* (- (* a a) 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (+ (* (* (* (- (* a a) 1) (* b b)) (+ 1 (* a a))) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* (* a a) (- 3 a)) (* (- 1 (pow a 4)) (+ a -1))) (+ (+ (pow a 4) 81) (* 9 (* a a))))) (* (* 4 (* (+ a -1) (+ 9 (* a (+ a 3))))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1155 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ -1 a) (+ 1 (* a a))) (+ 81 (* (+ (* a a) 9) (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a)))) (* (* (- 9 (* a a)) (- (* a a) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ 1 (* a a)) (- (* a a) 1)) (* b b))) (* (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (+ -1 a))) (+ 81 (* (+ (* a a) 9) (* a a))))) (* (* (* 4 (* (+ -1 a) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ -1 a) (+ 1 (* a a))) (+ 81 (* (+ (* a a) 9) (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a)))) (* (* (- 9 (* a a)) (- (* a a) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ 1 (* a a)) (- (* a a) 1)) (* b b))) (* (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (+ -1 a))) (+ 81 (* (+ (* a a) 9) (* a a))))) (* (* (* 4 (* (+ -1 a) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1156 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (- a 1) (+ 1 (* a a))) (+ (* (* a 9) a) (+ (pow a 4) 81))) (* (+ a 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (- (* a a) 1) (* b b)) (+ 1 (* a a)))) (* (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* 81 (- a 1))) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (* (- a 1) (+ 1 (* a a))) (+ (* (* a 9) a) (+ (pow a 4) 81))) (* (+ a 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (- (* a a) 1) (* b b)) (+ 1 (* a a)))) (* (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* 81 (- a 1))) (* (* (* a a) (- 3 a)) (- 1 (pow a 4))))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1157 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))) (* (+ a 1) (- 9 (* a a)))) (* (* (+ 81 (* (+ (* a a) 9) (* a a))) (* (- a 1) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (+ (* a a) -1) (* b b)) (+ 1 (* a a))) (- 729 (* (pow a 3) (pow a 3)))) (* (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (- a 1))) (+ 81 (* (+ (* a a) 9) (* a a))))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))) (* (+ a 1) (- 9 (* a a)))) (* (* (+ 81 (* (+ (* a a) 9) (* a a))) (* (- a 1) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (+ (* a a) -1) (* b b)) (+ 1 (* a a))) (- 729 (* (pow a 3) (pow a 3)))) (* (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (- a 1))) (+ 81 (* (+ (* a a) 9) (* a a))))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1158 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- (* a a) 1) (* b b)) (* (- 729 (* (pow a 3) (pow a 3))) (+ 1 (* a a)))) (* (* (* a a) (- 3 a)) (* (* (- 1 (pow a 4)) (+ -1 a)) (+ (* 9 (* a a)) (+ (pow a 4) 81))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (* (* (+ -1 a) (+ 1 (* a a))) (+ (* 9 (* a a)) (+ (pow a 4) 81))) (* (+ (pow a 3) 1) (- 3 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- (* a a) 1) (* b b)) (* (- 729 (* (pow a 3) (pow a 3))) (+ 1 (* a a)))) (* (* (* a a) (- 3 a)) (* (* (- 1 (pow a 4)) (+ -1 a)) (+ (* 9 (* a a)) (+ (pow a 4) 81))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (* (* (+ -1 a) (+ 1 (* a a))) (+ (* 9 (* a a)) (+ (pow a 4) 81))) (* (+ (pow a 3) 1) (- 3 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1159 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 3 a) (- (* a a) 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))) (* (* (* (- a 1) (+ 1 (* a a))) (+ 81 (* (* a a) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (* (* (+ 1 (* a a)) (- (* a a) 1)) (* b b)) (- 729 (* (pow a 3) (pow a 3)))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (- a 1))))) (* (* (* 4 (- a 1)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 3 a) (- (* a a) 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))) (* (* (* (- a 1) (+ 1 (* a a))) (+ 81 (* (* a a) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (* (* (+ 1 (* a a)) (- (* a a) 1)) (* b b)) (- 729 (* (pow a 3) (pow a 3)))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (- a 1))))) (* (* (* 4 (- a 1)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1160 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (+ 1 (pow a 3))) (* (- 27 (pow a 3)) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* (+ -1 a) (+ 1 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (+ 1 (* a a)) (- (* a a) 1)) (* (* b b) (- 729 (* (pow a 3) (pow a 3))))) (* (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (+ -1 a))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (+ 1 (pow a 3))) (* (- 27 (pow a 3)) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* (+ -1 a) (+ 1 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (+ 1 (* a a)) (- (* a a) 1)) (* (* b b) (- 729 (* (pow a 3) (pow a 3))))) (* (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (+ -1 a))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1161 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* (+ -1 a) (+ 1 (* a a)))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)) (* (+ (pow a 3) 1) (- 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (- (* a a) 1) (* b b)) (* (- 729 (* (pow a 3) (pow a 3))) (+ 1 (* a a)))) (* (* (* a a) (- 3 a)) (* (* (- 1 (pow a 4)) (+ -1 a)) (+ (+ 81 (pow a 4)) (* 9 (* a a)))))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* (+ -1 a) (+ 1 (* a a)))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)) (* (+ (pow a 3) 1) (- 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (- (* a a) 1) (* b b)) (* (- 729 (* (pow a 3) (pow a 3))) (+ 1 (* a a)))) (* (* (* a a) (- 3 a)) (* (* (- 1 (pow a 4)) (+ -1 a)) (+ (+ 81 (pow a 4)) (* 9 (* a a)))))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1162 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (187 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (- 27 (pow a 3)) (- (* a a) 1))) (* (* (* (+ -1 a) (+ 1 (* a a))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (- (* a a) 1) (* b b)) (* (- 729 (* (pow a 3) (pow a 3))) (+ 1 (* a a)))) (* (+ -1 a) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))))) (* (* (* 4 (+ -1 a)) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (- 27 (pow a 3)) (- (* a a) 1))) (* (* (* (+ -1 a) (+ 1 (* a a))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (- (* a a) 1) (* b b)) (* (- 729 (* (pow a 3) (pow a 3))) (+ 1 (* a a)))) (* (+ -1 a) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))))) (* (* (* 4 (+ -1 a)) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1163 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ 3 a))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (+ -1 a) (+ 1 (* a a))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (+ (* (* (+ 1 (* a a)) (+ (* a a) -1)) (* (* b b) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (+ -1 a))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* 4 (+ -1 a)) (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (+ -1 a) (+ 1 (* a a))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (+ (* (* (+ 1 (* a a)) (+ (* a a) -1)) (* (* b b) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (+ -1 a))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* 4 (+ -1 a)) (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1164 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)) (* (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* (+ a 1) (- 27 (pow a 3))))) (* (* (+ -1 a) (+ 1 (* a a))) (+ (+ 81 (pow a 4)) (* 9 (* a a))))) (* (+ (* (* (+ 1 (* a a)) (- (* a a) 1)) (* (* b b) (- 729 (* (pow a 3) (pow a 3))))) (* (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (+ -1 a))) (* (* 4 (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)) (* (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* (+ a 1) (- 27 (pow a 3))))) (* (* (+ -1 a) (+ 1 (* a a))) (+ (+ 81 (pow a 4)) (* 9 (* a a))))) (* (+ (* (* (+ 1 (* a a)) (- (* a a) 1)) (* (* b b) (- 729 (* (pow a 3) (pow a 3))))) (* (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (+ -1 a))) (* (* 4 (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1165 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ 3 a)) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ -1 a) (+ 1 (* a a))))) (* (* (- 9 (* a a)) (+ a 1)) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (- (* a a) 1) (* b b)) (* (- 729 (* (pow a 3) (pow a 3))) (+ 1 (* a a)))) (* (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (+ -1 a))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (+ a 3) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ -1 a) (+ 1 (* a a))))) (* (* (- 9 (* a a)) (+ a 1)) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (- (* a a) 1) (* b b)) (* (- 729 (* (pow a 3) (pow a 3))) (+ 1 (* a a)))) (* (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (+ -1 a))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (+ a 3) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 1166 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ -1 a) (+ 1 (* a a))) (+ (+ (pow a 4) 81) (* 9 (* a a))))) (* (* (- 3 a) (+ (pow a 3) 1)) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))) (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (- (* a a) 1) (* b b)) (+ 1 (* a a)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (* (* a a) (- 3 a)) (* (- 1 (pow a 4)) (+ -1 a))))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ -1 a) (+ 1 (* a a))) (+ (+ (pow a 4) 81) (* 9 (* a a))))) (* (* (- 3 a) (+ (pow a 3) 1)) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))) (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (- (* a a) 1) (* b b)) (+ 1 (* a a)))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (* (* a a) (- 3 a)) (* (- 1 (pow a 4)) (+ -1 a))))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 1167 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- a 1)) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ -1 a) (+ 1 (* a a))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (- 3 a) (- (* a a) 1)))) (* (+ (* (* (+ 1 (* a a)) (- 729 (* (pow a 3) (pow a 3)))) (* (- (* a a) 1) (* b b))) (* (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (+ -1 a))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* 4 (+ -1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ -1 a) (+ 1 (* a a))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (- 3 a) (- (* a a) 1)))) (* (+ (* (* (+ 1 (* a a)) (- 729 (* (pow a 3) (pow a 3)))) (* (- (* a a) 1) (* b b))) (* (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (+ -1 a))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* 4 (+ -1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (- a 1))))) 1)) * * * * [misc]progress: [ 1168 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ a 1) (- 3 a))) (* (* (* (+ -1 a) (+ 1 (* a a))) (+ 81 (* (* a a) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* 4 (+ (* (* (* (+ 1 (* a a)) (* b b)) (- (* a a) 1)) (- 729 (* (pow a 3) (pow a 3)))) (* (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (+ -1 a))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ a 1) (- 3 a))) (* (* (* (+ -1 a) (+ 1 (* a a))) (+ 81 (* (* a a) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* 4 (+ (* (* (* (+ 1 (* a a)) (* b b)) (- (* a a) 1)) (- 729 (* (pow a 3) (pow a 3)))) (* (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (+ -1 a))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 1169 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ -1 a) (+ 1 (* a a))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (- 3 a) (+ a 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (* (- (* a a) 1) (* b b)) (* (- 729 (* (pow a 3) (pow a 3))) (+ 1 (* a a)))) (* (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (+ -1 a))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ -1 a) (+ 1 (* a a))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (- 3 a) (+ a 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (* (- (* a a) 1) (* b b)) (* (- 729 (* (pow a 3) (pow a 3))) (+ 1 (* a a)))) (* (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (+ -1 a))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 1170 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (211 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ (pow a 3) 1) (- 27 (pow a 3)))) (* (* (+ (* a a) 9) (* (+ 1 (* a a)) (+ -1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (* (* (+ (* a a) 9) (+ -1 a)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))) (* (* (+ 1 (* a a)) (- (* a a) 1)) (* (- 81 (pow a 4)) (* b b)))) 4) (+ (* (* (* (* b 2) b) (* a a)) (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ (pow a 3) 1) (- 27 (pow a 3)))) (* (* (+ (* a a) 9) (* (+ 1 (* a a)) (+ -1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (* (* (+ (* a a) 9) (+ -1 a)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))) (* (* (+ 1 (* a a)) (- (* a a) 1)) (* (- 81 (pow a 4)) (* b b)))) 4) (+ (* (* (* (* b 2) b) (* a a)) (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1171 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (* (* (* (+ 1 (* a a)) (+ a -1)) (+ (* a a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* (+ a 3) (+ (- 1 a) (* a a)))) (* (* (+ (* (* (+ (* a a) 9) (+ a -1)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))) (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (- (* a a) 1) (* b b)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (* (* (* (+ 1 (* a a)) (+ a -1)) (+ (* a a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* (+ a 3) (+ (- 1 a) (* a a)))) (* (* (+ (* (* (+ (* a a) 9) (+ a -1)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))) (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (- (* a a) 1) (* b b)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1172 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (+ (* a a) 9) (+ a -1)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))) (* (* (+ 1 (* a a)) (+ (* a a) -1)) (* (- 81 (pow a 4)) (* b b)))) 4) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (* (+ a -1) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ 1 (* a a)) (+ (* a a) 9)) (+ a -1))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (- 27 (pow a 3)) (+ (* a a) -1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (+ (* a a) 9) (+ a -1)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))) (* (* (+ 1 (* a a)) (+ (* a a) -1)) (* (- 81 (pow a 4)) (* b b)))) 4) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (* (+ a -1) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ 1 (* a a)) (+ (* a a) 9)) (+ a -1))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (- 27 (pow a 3)) (+ (* a a) -1))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1173 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (188 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (* (* (+ -1 a) (* (+ (* a a) 9) (+ 1 (* a a)))) (* (- (* a a) 1) (- 9 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (* (+ (* a a) 9) (+ -1 a)) (* (* a a) (- 3 a))) (- 1 (* (* a a) (* a a)))) (* (* (- (* a a) 1) (* b b)) (* (- 81 (* (* a a) (* a a))) (+ 1 (* a a)))))) (* (* 4 (* (+ -1 a) (+ a 3))) (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (* (* (+ -1 a) (* (+ (* a a) 9) (+ 1 (* a a)))) (* (- (* a a) 1) (- 9 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (* (+ (* a a) 9) (+ -1 a)) (* (* a a) (- 3 a))) (- 1 (* (* a a) (* a a)))) (* (* (- (* a a) 1) (* b b)) (* (- 81 (* (* a a) (* a a))) (+ 1 (* a a)))))) (* (* 4 (* (+ -1 a) (+ a 3))) (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1174 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* (+ (* a a) 9) (+ a -1)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))) (* (* (+ 1 (* a a)) (+ (* a a) -1)) (* (- 81 (pow a 4)) (* b b)))) 4)) (* (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (+ 9 (* a (+ a 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ 1 (* a a))) (* (* (* (+ (* a a) 9) (+ a -1)) (* (+ a 1) (- 27 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* (+ (* a a) 9) (+ a -1)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))) (* (* (+ 1 (* a a)) (+ (* a a) -1)) (* (- 81 (pow a 4)) (* b b)))) 4)) (* (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (+ 9 (* a (+ a 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ 1 (* a a))) (* (* (* (+ (* a a) 9) (+ a -1)) (* (+ a 1) (- 27 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1175 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ a 1) (- 9 (* a a)))) (* (* (+ a -1) (* (+ (* a a) 9) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (+ a -1))) (+ (* a a) 9)) (* (+ 1 (* a a)) (* (* (- (* a a) 1) (* b b)) (- 81 (* (* a a) (* a a))))))) (* (* 4 (+ a 3)) (+ (* (* (* b (* b 2)) (* a a)) (- (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ a 1) (- 9 (* a a)))) (* (* (+ a -1) (* (+ (* a a) 9) (+ 1 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (+ a -1))) (+ (* a a) 9)) (* (+ 1 (* a a)) (* (* (- (* a a) 1) (* b b)) (- 81 (* (* a a) (* a a))))))) (* (* 4 (+ a 3)) (+ (* (* (* b (* b 2)) (* a a)) (- (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1176 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 3 a) (+ (pow a 3) 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (+ (* a a) 9) (* (+ 1 (* a a)) (+ -1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (- 1 a) (* a a)) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (* (+ (* (* (+ (* a a) 9) (+ -1 a)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))) (* (* (- (* a a) 1) (* b b)) (* (- 81 (pow a 4)) (+ 1 (* a a))))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 3 a) (+ (pow a 3) 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (+ (* a a) 9) (* (+ 1 (* a a)) (+ -1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (- 1 a) (* a a)) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (* (+ (* (* (+ (* a a) 9) (+ -1 a)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))) (* (* (- (* a a) 1) (* b b)) (* (- 81 (pow a 4)) (+ 1 (* a a))))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1177 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* a a) (- 3 a)) (* (* (+ (* a a) 9) (+ -1 a)) (- 1 (* (* a a) (* a a))))) (* (- 81 (* (* a a) (* a a))) (* (* (+ 1 (* a a)) (- (* a a) 1)) (* b b))))) (* (* 4 (+ -1 a)) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ (* a a) 9) (* (+ 1 (* a a)) (+ -1 a))) (* (- (* a a) 1) (- 3 a))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* a a) (- 3 a)) (* (* (+ (* a a) 9) (+ -1 a)) (- 1 (* (* a a) (* a a))))) (* (- 81 (* (* a a) (* a a))) (* (* (+ 1 (* a a)) (- (* a a) 1)) (* b b))))) (* (* 4 (+ -1 a)) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ (* a a) 9) (* (+ 1 (* a a)) (+ -1 a))) (* (- (* a a) 1) (- 3 a))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1178 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ (* a a) 9) (+ a -1)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))) (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (+ (* a a) -1) (* b b))))) (* (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))))) (* (* (* (* (+ (* a a) 9) (* (+ 1 (* a a)) (+ a -1))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ (* a a) 9) (+ a -1)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))) (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (+ (* a a) -1) (* b b))))) (* (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))))) (* (* (* (* (+ (* a a) 9) (* (+ 1 (* a a)) (+ a -1))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1179 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (+ (* (* (+ (* a a) 9) (+ -1 a)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))) (* (* (- (* a a) 1) (* b b)) (* (- 81 (pow a 4)) (+ 1 (* a a)))))) (* (* (* (+ 1 (* a a)) (* (+ (* a a) 9) (+ -1 a))) (* (+ (pow a 3) 1) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (+ (* (* (+ (* a a) 9) (+ -1 a)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))) (* (* (- (* a a) 1) (* b b)) (* (- 81 (pow a 4)) (+ 1 (* a a)))))) (* (* (* (+ 1 (* a a)) (* (+ (* a a) 9) (+ -1 a))) (* (+ (pow a 3) 1) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1180 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ 1 (* a a))) (* (* (* (+ -1 a) (+ 9 (* a a))) (* (- (* a a) 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ -1 a) (+ 9 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))) (* (* (+ 1 (* a a)) (- (* a a) 1)) (* (- 81 (pow a 4)) (* b b))))) (* (* 4 (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ -1 a) (+ 9 (* a (+ a 3))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ 1 (* a a))) (* (* (* (+ -1 a) (+ 9 (* a a))) (* (- (* a a) 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ -1 a) (+ 9 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))) (* (* (+ 1 (* a a)) (- (* a a) 1)) (* (- 81 (pow a 4)) (* b b))))) (* (* 4 (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ -1 a) (+ 9 (* a (+ a 3))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1181 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* a a) 9) (* (+ 1 (* a a)) (+ a -1)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (- 9 (* a a)) (- (* a a) 1))))) (* (+ (* (* (* (+ (* a a) 9) (+ a -1)) (* (* a a) (- 3 a))) (- 1 (* (* a a) (* a a)))) (* (* (* (+ 1 (* a a)) (* b b)) (- (* a a) 1)) (- 81 (* (* a a) (* a a))))) (* (* (* 4 (* (+ a 3) (+ a -1))) (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* a a) 9) (* (+ 1 (* a a)) (+ a -1)))) (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (- 9 (* a a)) (- (* a a) 1))))) (* (+ (* (* (* (+ (* a a) 9) (+ a -1)) (* (* a a) (- 3 a))) (- 1 (* (* a a) (* a a)))) (* (* (* (+ 1 (* a a)) (* b b)) (- (* a a) 1)) (- 81 (* (* a a) (* a a))))) (* (* (* 4 (* (+ a 3) (+ a -1))) (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1182 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* 4 (+ (* a (+ a 3)) 9)) (- (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (* (* (+ (* a a) 9) (+ -1 a)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))) (* (* (- (* a a) 1) (* b b)) (* (- 81 (pow a 4)) (+ 1 (* a a)))))) (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (* (+ a 1) (- 27 (pow a 3))) (* (* (+ 1 (* a a)) (+ -1 a)) (+ (* a a) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* 4 (+ (* a (+ a 3)) 9)) (- (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (* (* (+ (* a a) 9) (+ -1 a)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))) (* (* (- (* a a) 1) (* b b)) (* (- 81 (pow a 4)) (+ 1 (* a a)))))) (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (* (+ a 1) (- 27 (pow a 3))) (* (* (+ 1 (* a a)) (+ -1 a)) (+ (* a a) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1183 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (- a 1) (* (+ (* a a) 9) (+ 1 (* a a))))) (* (* (- 9 (* a a)) (+ a 1)) (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))))) (* (+ (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (* (+ (* a a) 9) (- a 1)))) (* (* (* (- (* a a) 1) (* b b)) (+ 1 (* a a))) (- 81 (* (* a a) (* a a))))) (* (* (* 4 (+ a 3)) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (- a 1) (* (+ (* a a) 9) (+ 1 (* a a))))) (* (* (- 9 (* a a)) (+ a 1)) (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))))) (* (+ (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (* (+ (* a a) 9) (- a 1)))) (* (* (* (- (* a a) 1) (* b b)) (+ 1 (* a a))) (- 81 (* (* a a) (* a a))))) (* (* (* 4 (+ a 3)) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1184 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (* (+ (* a a) 9) (- a 1)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))) (* (* (- (* a a) 1) (* b b)) (* (- 81 (pow a 4)) (+ 1 (* a a))))) (* (* 4 (+ (- 1 a) (* a a))) (- (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a)))))) (* (* (* (- a 1) (* (+ (* a a) 9) (+ 1 (* a a)))) (* (- 3 a) (+ (pow a 3) 1))) (* (- (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a)))) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (* (+ (* a a) 9) (- a 1)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))) (* (* (- (* a a) 1) (* b b)) (* (- 81 (pow a 4)) (+ 1 (* a a))))) (* (* 4 (+ (- 1 a) (* a a))) (- (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a)))))) (* (* (* (- a 1) (* (+ (* a a) 9) (+ 1 (* a a)))) (* (- 3 a) (+ (pow a 3) 1))) (* (- (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a)))) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1185 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (* (- (* a a) 1) (- 3 a)) (* (+ (* a a) 9) (* (+ 1 (* a a)) (+ a -1))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3))) (* (+ (* (* (* (+ (* a a) 9) (+ a -1)) (- 1 (* (* a a) (* a a)))) (* (* a a) (- 3 a))) (* (+ 1 (* a a)) (* (* (- (* a a) 1) (* b b)) (- 81 (* (* a a) (* a a)))))) (* (* (* 4 (+ a -1)) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (* (- (* a a) 1) (- 3 a)) (* (+ (* a a) 9) (* (+ 1 (* a a)) (+ a -1))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3))) (* (+ (* (* (* (+ (* a a) 9) (+ a -1)) (- 1 (* (* a a) (* a a)))) (* (* a a) (- 3 a))) (* (+ 1 (* a a)) (* (* (- (* a a) 1) (* b b)) (- 81 (* (* a a) (* a a)))))) (* (* (* 4 (+ a -1)) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1186 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (181 enodes) * [exit]simplify: Simplified to (* (+ (* (+ 1 (* a a)) (* (* (* (+ (* a a) 9) (+ -1 a)) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* (+ a 3) a) 9)) (+ (* (* (+ (* a a) 9) (+ -1 a)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))) (* (* (- (* a a) 1) (* b b)) (* (- 81 (pow a 4)) (+ 1 (* a a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ 1 (* a a)) (* (* (* (+ (* a a) 9) (+ -1 a)) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* (+ a 3) a) 9)) (+ (* (* (+ (* a a) 9) (+ -1 a)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))) (* (* (- (* a a) 1) (* b b)) (* (- 81 (pow a 4)) (+ 1 (* a a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1187 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (* (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* (* (+ 1 (* a a)) (+ a -1)) (+ (* a a) 9)))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (+ (* (* (+ (* a a) 9) (+ a -1)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))) (* (* (- (* a a) 1) (* b b)) (* (- 81 (pow a 4)) (+ 1 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (* (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* (* (+ 1 (* a a)) (+ a -1)) (+ (* a a) 9)))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (+ (* (* (+ (* a a) 9) (+ a -1)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))) (* (* (- (* a a) 1) (* b b)) (* (- 81 (pow a 4)) (+ 1 (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1188 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ 1 (* a a)) (* (* (* (+ -1 a) (+ 9 (* a a))) (* (- 27 (pow a 3)) (- (* a a) 1))) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))) (* (* (* 4 (+ -1 a)) (+ (* a (+ a 3)) 9)) (+ (* (* (+ -1 a) (+ 9 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))) (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (- (* a a) 1) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ 1 (* a a)) (* (* (* (+ -1 a) (+ 9 (* a a))) (* (- 27 (pow a 3)) (- (* a a) 1))) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))) (* (* (* 4 (+ -1 a)) (+ (* a (+ a 3)) 9)) (+ (* (* (+ -1 a) (+ 9 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))) (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (- (* a a) 1) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1189 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ 3 a))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (* (* (- (* a a) 1) (- 9 (* a a))) (* (* (+ 1 (* a a)) (+ (* a a) 9)) (+ -1 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (* (+ (* a a) 9) (+ -1 a)) (- 3 a)) (* (* a a) (- 1 (* (* a a) (* a a))))) (* (+ 1 (* a a)) (* (* (- (* a a) 1) (* b b)) (- 81 (* (* a a) (* a a)))))) (* (* (* 4 (+ a 3)) (+ -1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (* (* (- (* a a) 1) (- 9 (* a a))) (* (* (+ 1 (* a a)) (+ (* a a) 9)) (+ -1 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (* (+ (* a a) 9) (+ -1 a)) (- 3 a)) (* (* a a) (- 1 (* (* a a) (* a a))))) (* (+ 1 (* a a)) (* (* (- (* a a) 1) (* b b)) (- 81 (* (* a a) (* a a)))))) (* (* (* 4 (+ a 3)) (+ -1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1190 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* a (+ a 3)) 9) 4) (+ (* (* (+ (* a a) 9) (+ -1 a)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))) (* (* (- (* a a) 1) (* b b)) (* (- 81 (pow a 4)) (+ 1 (* a a)))))) (* (+ 1 (* a a)) (* (* (* (+ (* a a) 9) (+ -1 a)) (* (+ a 1) (- 27 (pow a 3)))) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* a (+ a 3)) 9) 4) (+ (* (* (+ (* a a) 9) (+ -1 a)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))) (* (* (- (* a a) 1) (* b b)) (* (- 81 (pow a 4)) (+ 1 (* a a)))))) (* (+ 1 (* a a)) (* (* (* (+ (* a a) 9) (+ -1 a)) (* (+ a 1) (- 27 (pow a 3)))) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1191 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ 3 a)) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (157 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ -1 a) (* (+ (* a a) 9) (+ 1 (* a a)))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (+ a 1) (- 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (* (+ (* a a) 9) (+ -1 a)) (* (* a a) (- 3 a))) (- 1 (* (* a a) (* a a)))) (* (+ 1 (* a a)) (* (* (- (* a a) 1) (* b b)) (- 81 (* (* a a) (* a a)))))) (* (+ (* 4 a) 12) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ -1 a) (* (+ (* a a) 9) (+ 1 (* a a)))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (+ a 1) (- 9 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (* (+ (* a a) 9) (+ -1 a)) (* (* a a) (- 3 a))) (- 1 (* (* a a) (* a a)))) (* (+ 1 (* a a)) (* (* (- (* a a) 1) (* b b)) (- 81 (* (* a a) (* a a)))))) (* (+ (* 4 a) 12) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 1192 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ 1 (* a a)) (* (* (* (+ (* a a) 9) (+ -1 a)) (* (+ 1 (pow a 3)) (- 3 a))) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (+ (* a a) 9) (+ -1 a)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))) (* (* (- (* a a) 1) (* b b)) (* (- 81 (pow a 4)) (+ 1 (* a a))))) (* 4 (+ (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ 1 (* a a)) (* (* (* (+ (* a a) 9) (+ -1 a)) (* (+ 1 (pow a 3)) (- 3 a))) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (+ (* a a) 9) (+ -1 a)) (* (* (* a a) (- 3 a)) (- 1 (pow a 4)))) (* (* (- (* a a) 1) (* b b)) (* (- 81 (pow a 4)) (+ 1 (* a a))))) (* 4 (+ (- 1 a) (* a a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 1193 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- a 1)) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (143 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ 1 (* a a)) (+ a -1)) (+ (* a a) 9)) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (* (- (* a a) 1) (- 3 a))) (* (+ (* (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (+ a -1))) (+ (* a a) 9)) (* (+ 1 (* a a)) (* (* (- (* a a) 1) (* b b)) (- 81 (* (* a a) (* a a)))))) (* (* 4 (+ a -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ 1 (* a a)) (+ a -1)) (+ (* a a) 9)) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (* (- (* a a) 1) (- 3 a))) (* (+ (* (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (+ a -1))) (+ (* a a) 9)) (* (+ 1 (* a a)) (* (* (- (* a a) 1) (* b b)) (- 81 (* (* a a) (* a a)))))) (* (* 4 (+ a -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (- a 1))))) 1)) * * * * [misc]progress: [ 1194 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ (* a a) 9) (+ -1 a)) (* (* (* a a) (- 3 a)) (- 1 (* (* a a) (* a a))))) (* (* (* (+ 1 (* a a)) (* b b)) (+ (* a a) -1)) (- 81 (* (* a a) (* a a)))))) (* (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) 4)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (- 3 a) (+ a 1)) (* (* (+ 1 (* a a)) (+ (* a a) 9)) (+ -1 a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ (* a a) 9) (+ -1 a)) (* (* (* a a) (- 3 a)) (- 1 (* (* a a) (* a a))))) (* (* (* (+ 1 (* a a)) (* b b)) (+ (* a a) -1)) (- 81 (* (* a a) (* a a)))))) (* (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) 4)) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (- 3 a) (+ a 1)) (* (* (+ 1 (* a a)) (+ (* a a) 9)) (+ -1 a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 1195 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ 9 (* a a)))) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ 1 (* a a)) (+ (* a a) 9)) (+ a -1))) (* (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ a 1) (- 3 a))))) (* (+ (* (* (* (+ (* a a) 9) (+ a -1)) (- 1 (* (* a a) (* a a)))) (* (* a a) (- 3 a))) (* (- 81 (* (* a a) (* a a))) (* (* (+ 1 (* a a)) (* b b)) (- (* a a) 1)))) (* (* (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ 1 (* a a)) (+ (* a a) 9)) (+ a -1))) (* (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ a 1) (- 3 a))))) (* (+ (* (* (* (+ (* a a) 9) (+ a -1)) (- 1 (* (* a a) (* a a)))) (* (* a a) (- 3 a))) (* (- 81 (* (* a a) (* a a))) (* (* (+ 1 (* a a)) (* b b)) (- (* a a) 1)))) (* (* (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (* (- a 1) (+ 9 (* a a)))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 1196 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) b) (* a a)) 3)) (+ 1 (* a a))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (- 27 (pow a 3)) (+ 1 (pow a 3)))) (+ (pow (* (* (* b 2) b) (* a a)) 3) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) b) (* a a)) 3)) (* 4 (+ (* (- 729 (pow (* a a) 3)) (* (+ 1 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (+ (pow a 4) 81) (* (* a a) 9)))))) (* (* (+ (* a (+ a 3)) 9) (+ (* a a) (- 1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) b) (* a a)) (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) b) (* a a)) 3)) (+ 1 (* a a))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (- 27 (pow a 3)) (+ 1 (pow a 3)))) (+ (pow (* (* (* b 2) b) (* a a)) 3) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) b) (* a a)) 3)) (* 4 (+ (* (- 729 (pow (* a a) 3)) (* (+ 1 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (+ (pow a 4) 81) (* (* a a) 9)))))) (* (* (+ (* a (+ a 3)) 9) (+ (* a a) (- 1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) b) (* a a)) (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1197 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (211 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (* a a)) (+ (* (* a a) 9) (+ (pow a 4) 81))) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (* (+ (* a a) (- 1 a)) (+ a 3)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4)))))) (* (* 4 (+ (* (* (+ 1 (* a a)) (* (+ a 1) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (* (* a a) 9) (+ (pow a 4) 81))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 1 (* a a)) (+ (* (* a a) 9) (+ (pow a 4) 81))) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (* (+ (* a a) (- 1 a)) (+ a 3)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4)))))) (* (* 4 (+ (* (* (+ 1 (* a a)) (* (+ a 1) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (* (* a a) 9) (+ (pow a 4) 81))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1198 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (218 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 27 (pow a 3)) (- (* a a) 1)) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (+ 1 (* a a)) (+ (* (* a a) 9) (+ (pow a 4) 81))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 a)) a))) (* (+ a -1) (+ 9 (* (+ a 3) a)))) (* (* 4 (+ (* (* (+ 1 (* a a)) (* (+ a 1) (* b b))) (- 729 (pow (* a a) 3))) (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (* (* a a) 9) (+ (pow a 4) 81))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 27 (pow a 3)) (- (* a a) 1)) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (+ 1 (* a a)) (+ (* (* a a) 9) (+ (pow a 4) 81))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 a)) a))) (* (+ a -1) (+ 9 (* (+ a 3) a)))) (* (* 4 (+ (* (* (+ 1 (* a a)) (* (+ a 1) (* b b))) (- 729 (pow (* a a) 3))) (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (* (* a a) 9) (+ (pow a 4) 81))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1199 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (208 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 (* a a)) (+ 81 (* (* a a) (+ (* a a) 9)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- 9 (* a a)) (- (* a a) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ 1 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (* (* a a) (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (* 4 (* (+ a 3) (+ -1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 1 (* a a)) (+ 81 (* (* a a) (+ (* a a) 9)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- 9 (* a a)) (- (* a a) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ 1 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (* (* a a) (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (* 4 (* (+ a 3) (+ -1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1200 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (208 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (* a a)) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (- 27 (pow a 3)) (+ a 1))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ 1 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (+ (pow a 4) 81) (* (* a a) 9))))) (* (* 4 (+ (* (+ a 3) a) 9)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 1 (* a a)) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (- 27 (pow a 3)) (+ a 1))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ 1 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (+ (pow a 4) 81) (* (* a a) 9))))) (* (* 4 (+ (* (+ a 3) a) 9)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1201 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 1 (* a a)) (* (+ a 1) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* (* a a) (- 3 a)) (- 1 (* (* a a) (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (* 4 (+ a 3)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- 9 (* a a)) (+ a 1))) (* (* (+ 1 (* a a)) (+ 81 (* (* a a) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 1 (* a a)) (* (+ a 1) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* (* a a) (- 3 a)) (- 1 (* (* a a) (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (* 4 (+ a 3)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- 9 (* a a)) (+ a 1))) (* (* (+ 1 (* a a)) (+ 81 (* (* a a) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1202 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)) (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ 1 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (* (* a a) 9) (+ (pow a 4) 81))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)) (* (- 3 a) (+ 1 (pow a 3)))) (* (* (+ 1 (* a a)) (+ (* (* a a) 9) (+ (pow a 4) 81))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)) (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ 1 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (* (* a a) 9) (+ (pow a 4) 81))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)) (* (- 3 a) (+ 1 (pow a 3)))) (* (* (+ 1 (* a a)) (+ (* (* a a) 9) (+ (pow a 4) 81))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1203 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ 1 (* a a))) (* (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (- (* a a) 1) (- 3 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 1 (* a a)) (* (+ a 1) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* (* a a) (- 3 a)) (- 1 (* (* a a) (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (* 4 (+ -1 a)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ 1 (* a a))) (* (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (- (* a a) 1) (- 3 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 1 (* a a)) (* (+ a 1) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* (* a a) (- 3 a)) (- 1 (* (* a a) (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (* 4 (+ -1 a)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1204 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 1 (* a a)) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))))) (* (* 4 (+ (* (* (+ 1 (* a a)) (* (+ a 1) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (+ (pow a 4) 81) (* (* a a) 9))))) (* (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 1 (* a a)) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))))) (* (* 4 (+ (* (* (+ 1 (* a a)) (* (+ a 1) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (+ (pow a 4) 81) (* (* a a) 9))))) (* (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1205 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (203 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (+ (* (* (+ 1 (* a a)) (* (+ a 1) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (+ 81 (pow a 4)) (* (* a a) 9))))) (* (* (* (+ 1 (* a a)) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (- 9 (* a a)) (+ (pow a 3) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (+ (* (* (+ 1 (* a a)) (* (+ a 1) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (+ 81 (pow a 4)) (* (* a a) 9))))) (* (* (* (+ 1 (* a a)) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (- 9 (* a a)) (+ (pow a 3) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1206 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (211 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))) (* (* (- (* a a) 1) (- 27 (pow a 3))) (* (+ 1 (* a a)) (+ (+ (pow a 4) 81) (* (* a a) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ 1 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (+ (pow a 4) 81) (* (* a a) 9))))) (* 4 (* (* (+ -1 a) (+ (* a (+ a 3)) 9)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))) (* (* (- (* a a) 1) (- 27 (pow a 3))) (* (+ 1 (* a a)) (+ (+ (pow a 4) 81) (* (* a a) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ 1 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (+ (pow a 4) 81) (* (* a a) 9))))) (* 4 (* (* (+ -1 a) (+ (* a (+ a 3)) 9)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1207 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ 1 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (* (* a a) (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* 4 (* (+ -1 a) (+ a 3))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))) (* (+ 1 (* a a)) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (- (* a a) 1) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ 1 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (* (* a a) (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* 4 (* (+ -1 a) (+ a 3))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))) (* (+ 1 (* a a)) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (- (* a a) 1) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1208 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (* (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))) (* (* (- 27 (pow a 3)) (+ a 1)) (* (+ 1 (* a a)) (+ (+ 81 (pow a 4)) (* (* a a) 9))))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ 1 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (+ 81 (pow a 4)) (* (* a a) 9)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))) (* (* (- 27 (pow a 3)) (+ a 1)) (* (+ 1 (* a a)) (+ (+ 81 (pow a 4)) (* (* a a) 9))))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ 1 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (+ 81 (pow a 4)) (* (* a a) 9)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1209 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 1 (* a a)) (* (+ a 1) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* (* a a) (- 3 a)) (- 1 (* (* a a) (* a a)))) (+ 81 (* (+ (* a a) 9) (* a a))))) (* (* (* 4 (+ a 3)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (+ 1 (* a a))) (* (* (+ 81 (* (+ (* a a) 9) (* a a))) (* (- 9 (* a a)) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 1 (* a a)) (* (+ a 1) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* (* a a) (- 3 a)) (- 1 (* (* a a) (* a a)))) (+ 81 (* (+ (* a a) 9) (* a a))))) (* (* (* 4 (+ a 3)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (+ 1 (* a a))) (* (* (+ 81 (* (+ (* a a) 9) (* a a))) (* (- 9 (* a a)) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1210 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* 4 (+ (- 1 a) (* a a))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))) (+ (* (* (+ 1 (* a a)) (* (+ a 1) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (+ 81 (pow a 4)) (* (* a 9) a))))) (* (* (* (+ 1 (* a a)) (+ (+ 81 (pow a 4)) (* (* a 9) a))) (* (- 3 a) (+ (pow a 3) 1))) (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* 4 (+ (- 1 a) (* a a))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))) (+ (* (* (+ 1 (* a a)) (* (+ a 1) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (+ 81 (pow a 4)) (* (* a 9) a))))) (* (* (* (+ 1 (* a a)) (+ (+ 81 (pow a 4)) (* (* a 9) a))) (* (- 3 a) (+ (pow a 3) 1))) (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1211 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 3 a) (- (* a a) 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))) (* (* (+ 1 (* a a)) (+ 81 (* (* a a) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ 1 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (* (* a a) (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* 4 (- a 1)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 3 a) (- (* a a) 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))) (* (* (+ 1 (* a a)) (+ 81 (* (* a a) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ 1 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (* (* a a) (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* 4 (- a 1)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1212 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))) (* (* (- 27 (pow a 3)) (+ (pow a 3) 1)) (* (+ 1 (* a a)) (+ (+ (pow a 4) 81) (* (* a 9) a))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)) (+ (* (* (+ 1 (* a a)) (* (+ a 1) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (+ (pow a 4) 81) (* (* a 9) a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))) (* (* (- 27 (pow a 3)) (+ (pow a 3) 1)) (* (+ 1 (* a a)) (+ (+ (pow a 4) 81) (* (* a 9) a))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)) (+ (* (* (+ 1 (* a a)) (* (+ a 1) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (+ (pow a 4) 81) (* (* a 9) a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1213 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (182 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ 1 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (* 4 (+ a 3)) (+ (- 1 a) (* a a)))) (* (* (* (+ 1 (* a a)) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (+ (pow a 3) 1) (- 9 (* a a)))) (+ (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ 1 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (+ (pow a 4) 81) (* (* a a) 9)))) (* (* 4 (+ a 3)) (+ (- 1 a) (* a a)))) (* (* (* (+ 1 (* a a)) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (+ (pow a 3) 1) (- 9 (* a a)))) (+ (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1214 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (+ 1 (* a a)) (* (+ a 1) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (* a (* a 9)) (+ (pow a 4) 81)))) (* (* 4 (+ -1 a)) (+ 9 (* a (+ a 3))))) (* (* (- (* a a) 1) (- 27 (pow a 3))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (+ 1 (* a a)) (+ (* a (* a 9)) (+ (pow a 4) 81)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (* (+ 1 (* a a)) (* (+ a 1) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (* a (* a 9)) (+ (pow a 4) 81)))) (* (* 4 (+ -1 a)) (+ 9 (* a (+ a 3))))) (* (* (- (* a a) 1) (- 27 (pow a 3))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (+ 1 (* a a)) (+ (* a (* a 9)) (+ (pow a 4) 81)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1215 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ 3 a))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- 9 (* a a)) (- (* a a) 1)) (+ (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))))) (* (+ 1 (* a a)) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (+ (* (* (+ 1 (* a a)) (* (+ a 1) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* (* a a) (- 3 a)) (- 1 (* (* a a) (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* (+ a 3) (+ -1 a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- 9 (* a a)) (- (* a a) 1)) (+ (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))))) (* (+ 1 (* a a)) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (+ (* (* (+ 1 (* a a)) (* (+ a 1) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* (* a a) (- 3 a)) (- 1 (* (* a a) (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* (+ a 3) (+ -1 a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1216 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ 36 (* 4 (* a (+ a 3)))) (+ (* (* (+ 1 (* a a)) (* (+ a 1) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (+ 81 (pow a 4)) (* (* a a) 9))))) (* (* (+ a 1) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (- 27 (pow a 3)) (* (+ 1 (* a a)) (+ (+ 81 (pow a 4)) (* (* a a) 9))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ 36 (* 4 (* a (+ a 3)))) (+ (* (* (+ 1 (* a a)) (* (+ a 1) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (+ 81 (pow a 4)) (* (* a a) 9))))) (* (* (+ a 1) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (- 27 (pow a 3)) (* (+ 1 (* a a)) (+ (+ 81 (pow a 4)) (* (* a a) 9))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1217 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ 3 a)) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 1 (* a a)) (+ 81 (* (+ (* a a) 9) (* a a))))) (* (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* (- 9 (* a a)) (+ a 1)))) (* (+ (* (- 729 (pow (* a a) 3)) (* (+ 1 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (* (* a a) (* a a)))) (+ 81 (* (+ (* a a) 9) (* a a))))) (* (+ 12 (* 4 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 1 (* a a)) (+ 81 (* (+ (* a a) 9) (* a a))))) (* (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* (- 9 (* a a)) (+ a 1)))) (* (+ (* (- 729 (pow (* a a) 3)) (* (+ 1 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (* (* a a) (* a a)))) (+ 81 (* (+ (* a a) 9) (* a a))))) (* (+ 12 (* 4 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 1218 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ 1 (* a a)) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (- 3 a) (+ (pow a 3) 1))) (+ (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4)))) (* (* (+ (- 1 a) (* a a)) 4) (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ 1 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (+ (pow a 4) 81) (* (* a a) 9))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ 1 (* a a)) (+ (+ (pow a 4) 81) (* (* a a) 9))) (* (- 3 a) (+ (pow a 3) 1))) (+ (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4)))) (* (* (+ (- 1 a) (* a a)) 4) (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ 1 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (+ (pow a 4) 81) (* (* a a) 9))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 1219 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- a 1)) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (162 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* a a) 1) (- 3 a)) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (* (+ 1 (* a a)) (+ 81 (* (* a a) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ 1 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (* (* a a) (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* 4 (+ a -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (* a a) 1) (- 3 a)) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (* (+ 1 (* a a)) (+ 81 (* (* a a) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ 1 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (* (* a a) (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* 4 (+ a -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (- a 1))))) 1)) * * * * [misc]progress: [ 1220 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (+ (* (* (+ 1 (* a a)) (* (+ a 1) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* (* a a) (- 3 a)) (- 1 (* (* a a) (* a a)))) (+ 81 (* (+ (* a a) 9) (* a a)))))) (* (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (- 3 a) (+ a 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (+ 1 (* a a)) (+ 81 (* (+ (* a a) 9) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* 4 (+ (* (* (+ 1 (* a a)) (* (+ a 1) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* (* a a) (- 3 a)) (- 1 (* (* a a) (* a a)))) (+ 81 (* (+ (* a a) 9) (* a a)))))) (* (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (- 3 a) (+ a 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (+ 1 (* a a)) (+ 81 (* (+ (* a a) 9) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 1221 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 1 (* a a)) (+ 81 (* (+ (* a a) 9) (* a a))))) (* (* (- 3 a) (+ a 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a))))))) (* (+ (* (* (+ 1 (* a a)) (* (+ a 1) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* (* a a) (- 3 a)) (- 1 (* (* a a) (* a a)))) (+ 81 (* (+ (* a a) 9) (* a a))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 1 (* a a)) (+ 81 (* (+ (* a a) 9) (* a a))))) (* (* (- 3 a) (+ a 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a))))))) (* (+ (* (* (+ 1 (* a a)) (* (+ a 1) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* (* a a) (- 3 a)) (- 1 (* (* a a) (* a a)))) (+ 81 (* (+ (* a a) 9) (* a a))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 1222 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 1 (* a a)) (+ (* a a) 9)) (* (- 27 (pow a 3)) (+ (pow a 3) 1))) (+ (pow (* (* b b) (* 2 (* a a))) 3) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3))) (* (* (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* 4 (+ (* (* (+ (* a a) 9) (* (* a a) (- 3 a))) (- 1 (pow a 4))) (* (* (* b b) (+ a 1)) (* (- 81 (pow a 4)) (+ 1 (* a a))))))) (* (* (+ (- 1 a) (* a a)) (+ 9 (* (+ a 3) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 1 (* a a)) (+ (* a a) 9)) (* (- 27 (pow a 3)) (+ (pow a 3) 1))) (+ (pow (* (* b b) (* 2 (* a a))) 3) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3))) (* (* (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* 4 (+ (* (* (+ (* a a) 9) (* (* a a) (- 3 a))) (- 1 (pow a 4))) (* (* (* b b) (+ a 1)) (* (- 81 (pow a 4)) (+ 1 (* a a))))))) (* (* (+ (- 1 a) (* a a)) (+ 9 (* (+ a 3) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1223 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* 4 (+ (* (* (+ (* a a) 9) (* (* a a) (- 3 a))) (- 1 (pow a 4))) (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (+ a 1)))))) (* (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* (+ (- 1 a) (* a a)) (+ a 3)))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 1 (* a a)) (+ (* a a) 9))) (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* 4 (+ (* (* (+ (* a a) 9) (* (* a a) (- 3 a))) (- 1 (pow a 4))) (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (+ a 1)))))) (* (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* (+ (- 1 a) (* a a)) (+ a 3)))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 1 (* a a)) (+ (* a a) 9))) (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1224 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (203 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* a a) (* b b))) 3)) (* (+ 1 (* a a)) (+ (* a a) 9))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* a a) (* b b))) 3)) (* (- (* a a) 1) (- 27 (pow a 3))))) (* (* (* (+ a -1) (+ (* a (+ a 3)) 9)) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (* 4 (+ (* (* (+ (* a a) 9) (- 3 a)) (* (* a a) (- 1 (pow a 4)))) (* (* (+ 1 (* a a)) (+ a 1)) (* (- 81 (pow a 4)) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* a a) (* b b))) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* a a) (* b b))) 3)) (* (+ 1 (* a a)) (+ (* a a) 9))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* a a) (* b b))) 3)) (* (- (* a a) 1) (- 27 (pow a 3))))) (* (* (* (+ a -1) (+ (* a (+ a 3)) 9)) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (* 4 (+ (* (* (+ (* a a) 9) (- 3 a)) (* (* a a) (- 1 (pow a 4)))) (* (* (+ 1 (* a a)) (+ a 1)) (* (- 81 (pow a 4)) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* a a) (* b b))) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1225 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ 1 (* a a)) (+ (* a a) 9)) (* (- (* a a) 1) (- 9 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* 4 (+ (* (* (+ (* a a) 9) (* (* a a) (- 3 a))) (- 1 (* (* a a) (* a a)))) (* (* (* (* b b) (+ a 1)) (+ 1 (* a a))) (- 81 (* (* a a) (* a a))))))) (* (* (+ -1 a) (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ 1 (* a a)) (+ (* a a) 9)) (* (- (* a a) 1) (- 9 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* 4 (+ (* (* (+ (* a a) 9) (* (* a a) (- 3 a))) (- 1 (* (* a a) (* a a)))) (* (* (* (* b b) (+ a 1)) (+ 1 (* a a))) (- 81 (* (* a a) (* a a))))))) (* (* (+ -1 a) (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1226 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 1 (* a a)) (+ (* a a) 9))) (* (* (- 27 (pow a 3)) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* 4 (+ (* (* (+ (* a a) 9) (* (* a a) (- 3 a))) (- 1 (pow a 4))) (* (- 81 (pow a 4)) (* (* (* b b) (+ a 1)) (+ 1 (* a a))))))) (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (+ 9 (* a (+ a 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 1 (* a a)) (+ (* a a) 9))) (* (* (- 27 (pow a 3)) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* 4 (+ (* (* (+ (* a a) 9) (* (* a a) (- 3 a))) (- 1 (pow a 4))) (* (- 81 (pow a 4)) (* (* (* b b) (+ a 1)) (+ 1 (* a a))))))) (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (+ 9 (* a (+ a 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1227 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ a 1) (- 9 (* a a))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (+ 1 (* a a)) (+ (* a a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ (* a a) 9) (* (* a a) (- 3 a))) (- 1 (* (* a a) (* a a)))) (* (* (* (* b b) (+ a 1)) (+ 1 (* a a))) (- 81 (* (* a a) (* a a)))))) (* (* 4 (+ a 3)) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ a 1) (- 9 (* a a))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (+ 1 (* a a)) (+ (* a a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ (* a a) 9) (* (* a a) (- 3 a))) (- 1 (* (* a a) (* a a)))) (* (* (* (* b b) (+ a 1)) (+ 1 (* a a))) (- 81 (* (* a a) (* a a)))))) (* (* 4 (+ a 3)) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1228 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (184 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ 1 (pow a 3)) (- 3 a)) (* (+ 1 (* a a)) (+ (* a a) 9))))) (* (* (+ (- 1 a) (* a a)) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (* 4 (+ (* (- 1 (pow a 4)) (* (* (* a a) (- 3 a)) (+ (* a a) 9))) (* (- 81 (pow a 4)) (* (* (* b b) (+ a 1)) (+ 1 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ 1 (pow a 3)) (- 3 a)) (* (+ 1 (* a a)) (+ (* a a) 9))))) (* (* (+ (- 1 a) (* a a)) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (* 4 (+ (* (- 1 (pow a 4)) (* (* (* a a) (- 3 a)) (+ (* a a) 9))) (* (- 81 (pow a 4)) (* (* (* b b) (+ a 1)) (+ 1 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1229 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* 4 (+ (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (+ (* a a) 9))) (* (* (* (* b b) (+ a 1)) (+ 1 (* a a))) (- 81 (* (* a a) (* a a))))))) (* (+ -1 a) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (* (+ 1 (* a a)) (+ (* a a) 9)) (* (- 3 a) (- (* a a) 1))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* 4 (+ (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (+ (* a a) 9))) (* (* (* (* b b) (+ a 1)) (+ 1 (* a a))) (- 81 (* (* a a) (* a a))))))) (* (+ -1 a) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (* (+ 1 (* a a)) (+ (* a a) 9)) (* (- 3 a) (- (* a a) 1))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1230 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ 1 (* a a))) (* (* (+ (* a a) 9) (* (- 27 (pow a 3)) (+ (pow a 3) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) (* 4 (+ (* (- 1 (pow a 4)) (* (* (* a a) (- 3 a)) (+ (* a a) 9))) (* (* (+ 1 (* a a)) (+ a 1)) (* (- 81 (pow a 4)) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ 1 (* a a))) (* (* (+ (* a a) 9) (* (- 27 (pow a 3)) (+ (pow a 3) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) (* 4 (+ (* (- 1 (pow a 4)) (* (* (* a a) (- 3 a)) (+ (* a a) 9))) (* (* (+ 1 (* a a)) (+ a 1)) (* (- 81 (pow a 4)) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1231 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (187 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a))))) (+ (* (* (+ (* a a) 9) (- 1 (pow a 4))) (* (* a a) (- 3 a))) (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (+ a 1))))) (* (* (* (+ 1 (* a a)) (+ (* a a) 9)) (* (+ (pow a 3) 1) (- 9 (* a a)))) (* (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a))))) (+ (* (* (+ (* a a) 9) (- 1 (pow a 4))) (* (* a a) (- 3 a))) (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (+ a 1))))) (* (* (* (+ 1 (* a a)) (+ (* a a) 9)) (* (+ (pow a 3) 1) (- 9 (* a a)))) (* (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1232 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (- (* a a) 1) (- 27 (pow a 3)))) (* (* (+ 1 (* a a)) (+ (* a a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* (+ -1 a) (+ 9 (* a (+ a 3)))))) (* 4 (+ (* (* (+ (* a a) 9) (- 1 (pow a 4))) (* (* a a) (- 3 a))) (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (+ a 1))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (- (* a a) 1) (- 27 (pow a 3)))) (* (* (+ 1 (* a a)) (+ (* a a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* (+ -1 a) (+ 9 (* a (+ a 3)))))) (* 4 (+ (* (* (+ (* a a) 9) (- 1 (pow a 4))) (* (* a a) (- 3 a))) (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (* b b) (+ a 1))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1233 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* 4 (* (+ -1 a) (+ a 3))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (* (+ (* a a) 9) (* (* a a) (- 3 a))) (- 1 (* (* a a) (* a a)))) (* (* (* (* b b) (+ a 1)) (+ 1 (* a a))) (- 81 (* (* a a) (* a a)))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) (* (* (- 9 (* a a)) (- (* a a) 1)) (* (+ 1 (* a a)) (+ (* a a) 9)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* 4 (* (+ -1 a) (+ a 3))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (* (+ (* a a) 9) (* (* a a) (- 3 a))) (- 1 (* (* a a) (* a a)))) (* (* (* (* b b) (+ a 1)) (+ 1 (* a a))) (- 81 (* (* a a) (* a a)))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) (* (* (- 9 (* a a)) (- (* a a) 1)) (* (+ 1 (* a a)) (+ (* a a) 9)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1234 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (184 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ 1 (* a a)) (+ (* a a) 9)) (* (- 27 (pow a 3)) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (* (+ (* a a) 9) (- 3 a)) (* (* a a) (- 1 (pow a 4)))) (* (* (* (* b b) (+ a 1)) (+ 1 (* a a))) (- 81 (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ 1 (* a a)) (+ (* a a) 9)) (* (- 27 (pow a 3)) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (* (+ (* a a) 9) (- 3 a)) (* (* a a) (- 1 (pow a 4)))) (* (* (* (* b b) (+ a 1)) (+ 1 (* a a))) (- 81 (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1235 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* 4 (+ a 3)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (+ (* a a) 9))) (* (- 81 (* (* a a) (* a a))) (* (* (* b b) (+ a 1)) (+ 1 (* a a)))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (* (+ a 1) (- 9 (* a a))) (* (+ 1 (* a a)) (+ (* a a) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* 4 (+ a 3)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (+ (* a a) 9))) (* (- 81 (* (* a a) (* a a))) (* (* (* b b) (+ a 1)) (+ 1 (* a a)))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (* (+ a 1) (- 9 (* a a))) (* (+ 1 (* a a)) (+ (* a a) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1236 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* 4 (+ (- 1 a) (* a a))) (- (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (+ (* (* (+ (* a a) 9) (* (* a a) (- 3 a))) (- 1 (pow a 4))) (* (- 81 (pow a 4)) (* (* (* b b) (+ a 1)) (+ 1 (* a a)))))) (* (* (- (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (* (- 3 a) (+ (pow a 3) 1)) (* (+ 1 (* a a)) (+ (* a a) 9)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* 4 (+ (- 1 a) (* a a))) (- (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (+ (* (* (+ (* a a) 9) (* (* a a) (- 3 a))) (- 1 (pow a 4))) (* (- 81 (pow a 4)) (* (* (* b b) (+ a 1)) (+ 1 (* a a)))))) (* (* (- (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (* (- 3 a) (+ (pow a 3) 1)) (* (+ 1 (* a a)) (+ (* a a) 9)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1237 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (166 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* 4 (- a 1)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (+ (* a a) 9))) (* (* (* (* b b) (+ a 1)) (+ 1 (* a a))) (- 81 (* (* a a) (* a a)))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a))))) (* (* (- (* a a) 1) (- 3 a)) (* (+ 1 (* a a)) (+ (* a a) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* 4 (- a 1)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (+ (* a a) 9))) (* (* (* (* b b) (+ a 1)) (+ 1 (* a a))) (- 81 (* (* a a) (* a a)))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a))))) (* (* (- (* a a) 1) (- 3 a)) (* (+ 1 (* a a)) (+ (* a a) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1238 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (* (+ 1 (* a a)) (+ (* a a) 9)))) (* (+ (* (* (+ (* a a) 9) (* (* a a) (- 3 a))) (- 1 (pow a 4))) (* (* (* b b) (+ a 1)) (* (- 81 (pow a 4)) (+ 1 (* a a))))) (* (* 4 (+ (- 1 a) (* a a))) (+ 9 (* a (+ a 3))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (* (+ 1 (* a a)) (+ (* a a) 9)))) (* (+ (* (* (+ (* a a) 9) (* (* a a) (- 3 a))) (- 1 (pow a 4))) (* (* (* b b) (+ a 1)) (* (- 81 (pow a 4)) (+ 1 (* a a))))) (* (* 4 (+ (- 1 a) (* a a))) (+ 9 (* a (+ a 3))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1239 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (+ (* (* (* a a) (- 3 a)) (* (+ (* a a) 9) (- 1 (pow a 4)))) (* (- 81 (pow a 4)) (* (* (* b b) (+ a 1)) (+ 1 (* a a)))))) (* (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (* (+ 1 (* a a)) (+ (* a a) 9)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (+ (* (* (* a a) (- 3 a)) (* (+ (* a a) 9) (- 1 (pow a 4)))) (* (- 81 (pow a 4)) (* (* (* b b) (+ a 1)) (+ 1 (* a a)))))) (* (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (* (+ 1 (* a a)) (+ (* a a) 9)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1240 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (* (+ (* a a) 9) (- 3 a)) (* (* a a) (- 1 (pow a 4)))) (* (* (+ 1 (* a a)) (+ a 1)) (* (- 81 (pow a 4)) (* b b)))) (* (* 4 (+ a -1)) (+ 9 (* (+ a 3) a)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (- (* a a) 1) (- 27 (pow a 3))) (* (+ 1 (* a a)) (+ (* a a) 9)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (* (+ (* a a) 9) (- 3 a)) (* (* a a) (- 1 (pow a 4)))) (* (* (+ 1 (* a a)) (+ a 1)) (* (- 81 (pow a 4)) (* b b)))) (* (* 4 (+ a -1)) (+ 9 (* (+ a 3) a)))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (- (* a a) 1) (- 27 (pow a 3))) (* (+ 1 (* a a)) (+ (* a a) 9)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1241 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ 3 a))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ 1 (* a a)) (+ (* a a) 9)) (* (+ (* a a) -1) (- 9 (* a a)))) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (+ (* a a) 9))) (* (- 81 (* (* a a) (* a a))) (* (* (* b b) (+ a 1)) (+ 1 (* a a))))) (* 4 (* (+ a 3) (+ a -1))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (+ 1 (* a a)) (+ (* a a) 9)) (* (+ (* a a) -1) (- 9 (* a a)))) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (+ (* a a) 9))) (* (- 81 (* (* a a) (* a a))) (* (* (* b b) (+ a 1)) (+ 1 (* a a))))) (* 4 (* (+ a 3) (+ a -1))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1242 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (+ (* a a) 9) (* (* a a) (- 3 a))) (- 1 (pow a 4))) (* (* (* b b) (+ a 1)) (* (- 81 (pow a 4)) (+ 1 (* a a))))) (+ 36 (* 4 (* a (+ a 3))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (* (* (+ a 1) (- 27 (pow a 3))) (* (+ 1 (* a a)) (+ (* a a) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (* (+ (* a a) 9) (* (* a a) (- 3 a))) (- 1 (pow a 4))) (* (* (* b b) (+ a 1)) (* (- 81 (pow a 4)) (+ 1 (* a a))))) (+ 36 (* 4 (* a (+ a 3))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (* (* (+ a 1) (- 27 (pow a 3))) (* (+ 1 (* a a)) (+ (* a a) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1243 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ 3 a)) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* (* (- 9 (* a a)) (+ a 1)) (* (+ 1 (* a a)) (+ (* a a) 9)))) (* (+ (* (* (+ (* a a) 9) (* (* a a) (- 3 a))) (- 1 (* (* a a) (* a a)))) (* (* (* (* b b) (+ a 1)) (+ 1 (* a a))) (- 81 (* (* a a) (* a a))))) (+ (* 4 a) 12)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* (* (- 9 (* a a)) (+ a 1)) (* (+ 1 (* a a)) (+ (* a a) 9)))) (* (+ (* (* (+ (* a a) 9) (* (* a a) (- 3 a))) (- 1 (* (* a a) (* a a)))) (* (* (* (* b b) (+ a 1)) (+ 1 (* a a))) (- 81 (* (* a a) (* a a))))) (+ (* 4 a) 12)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 1244 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (156 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ 1 (* a a)) (+ (* a a) 9)) (* (+ 1 (pow a 3)) (- 3 a))) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* a a) (- 3 a)) (* (+ (* a a) 9) (- 1 (pow a 4)))) (* (- 81 (pow a 4)) (* (* (* b b) (+ a 1)) (+ 1 (* a a))))) (* 4 (+ (- 1 a) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (+ 1 (* a a)) (+ (* a a) 9)) (* (+ 1 (pow a 3)) (- 3 a))) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* a a) (- 3 a)) (* (+ (* a a) 9) (- 1 (pow a 4)))) (* (- 81 (pow a 4)) (* (* (* b b) (+ a 1)) (+ 1 (* a a))))) (* 4 (+ (- 1 a) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 1245 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- a 1)) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ a -1) 4) (+ (* (* (+ (* a a) 9) (* (* a a) (- 3 a))) (- 1 (* (* a a) (* a a)))) (* (* (* (* b b) (+ a 1)) (+ 1 (* a a))) (- 81 (* (* a a) (* a a)))))) (* (* (* (+ 1 (* a a)) (+ (* a a) 9)) (* (- (* a a) 1) (- 3 a))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (+ a -1) 4) (+ (* (* (+ (* a a) 9) (* (* a a) (- 3 a))) (- 1 (* (* a a) (* a a)))) (* (* (* (* b b) (+ a 1)) (+ 1 (* a a))) (- 81 (* (* a a) (* a a)))))) (* (* (* (+ 1 (* a a)) (+ (* a a) 9)) (* (- (* a a) 1) (- 3 a))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (- a 1))))) 1)) * * * * [misc]progress: [ 1246 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (+ a 1) (- 3 a)) (* (+ 1 (* a a)) (+ (* a a) 9)))) (* (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* 4 (+ (* (* (+ (* a a) 9) (* (* a a) (- 3 a))) (- 1 (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* (* b b) (+ a 1)) (+ 1 (* a a)))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (+ a 1) (- 3 a)) (* (+ 1 (* a a)) (+ (* a a) 9)))) (* (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* 4 (+ (* (* (+ (* a a) 9) (* (* a a) (- 3 a))) (- 1 (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* (* b b) (+ a 1)) (+ 1 (* a a)))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 1247 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ 9 (* a a))) (* (+ 1 (* a a)) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (155 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))) 4) (+ (* (* (+ (* a a) 9) (* (* a a) (- 3 a))) (- 1 (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* (* b b) (+ a 1)) (+ 1 (* a a)))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))) (* (* (+ a 1) (- 3 a)) (* (+ 1 (* a a)) (+ (* a a) 9)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))) 4) (+ (* (* (+ (* a a) 9) (* (* a a) (- 3 a))) (- 1 (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* (* b b) (+ a 1)) (+ 1 (* a a)))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))) (* (* (+ a 1) (- 3 a)) (* (+ 1 (* a a)) (+ (* a a) 9)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ 9 (* a a))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 1248 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (* (+ (* a a) (- 1 a)) (+ 1 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (+ (* (* (* (* b 2) (* b a)) a) (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3))))) (* (* (+ (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (- 9 (* a a)) (* b b))) (* (* (* a a) (- 3 a)) (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (* (+ (* a a) (- 1 a)) (+ 1 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (+ (* (* (* (* b 2) (* b a)) a) (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3))))) (* (* (+ (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (- 9 (* a a)) (* b b))) (* (* (* a a) (- 3 a)) (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1249 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (187 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (- 9 (* a a)) (* b b))) (* (* (+ (* a a) (- 1 a)) (- 3 a)) (* (* a a) (- 1 (pow a 4))))) 4)) (* (* (+ a 3) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (- 9 (* a a)) (* b b))) (* (* (+ (* a a) (- 1 a)) (- 3 a)) (* (* a a) (- 1 (pow a 4))))) 4)) (* (* (+ a 3) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1250 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (205 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ 1 (* a a)))) (* (* (* a a) (- 3 a)) (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))))) 4)) (* (* (- a 1) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (* (+ (* a a) -1) (- 27 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ 1 (* a a)))) (* (* (* a a) (- 3 a)) (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))))) 4)) (* (* (- a 1) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (* (+ (* a a) -1) (- 27 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1251 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (- 9 (* a a)) (* b b))) (* (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))) (* (* a a) (- 3 a))))) (* (* 4 (* (+ a -1) (+ a 3))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- (* a a) 1) (- 9 (* a a))) (* (+ (* a a) (- 1 a)) (+ 1 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (- 9 (* a a)) (* b b))) (* (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))) (* (* a a) (- 3 a))))) (* (* 4 (* (+ a -1) (+ a 3))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- (* a a) 1) (- 9 (* a a))) (* (+ (* a a) (- 1 a)) (+ 1 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1252 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ 1 (* a a))) (* (* (+ (* a a) (- 1 a)) (* (- 27 (pow a 3)) (+ a 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (- 9 (* a a)) (* b b))) (* (* (+ (* a a) (- 1 a)) (- 3 a)) (* (* a a) (- 1 (pow a 4)))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (* (* b 2) (* b (* a a))) (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ 1 (* a a))) (* (* (+ (* a a) (- 1 a)) (* (- 27 (pow a 3)) (+ a 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (- 9 (* a a)) (* b b))) (* (* (+ (* a a) (- 1 a)) (- 3 a)) (* (* a a) (- 1 (pow a 4)))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (* (* b 2) (* b (* a a))) (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1253 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))) (* (* (+ a 1) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (+ a 3)) (* (* (+ (* (* (+ 1 (* a a)) (- 9 (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (* a a) (- 1 a)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))) (* (* (+ a 1) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (+ a 3)) (* (* (+ (* (* (+ 1 (* a a)) (- 9 (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (* a a) (- 1 a)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1254 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))) (* (* (- 3 a) (+ 1 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (+ (* a a) (- 1 a))) (* (* (+ (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (- 9 (* a a)) (* b b))) (* (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))) (* (* a a) (- 3 a)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))) (* (* (- 3 a) (+ 1 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (+ (* a a) (- 1 a))) (* (* (+ (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (- 9 (* a a)) (* b b))) (* (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))) (* (* a a) (- 3 a)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1255 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ 1 (* a a))) (* (* (+ (* a a) (- 1 a)) (* (- 3 a) (- (* a a) 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ 1 (* a a)) (- 9 (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (* (+ (* a a) (- 1 a)) (* (* a a) (- 3 a))) (- 1 (pow a 4))))) (* (* 4 (+ -1 a)) (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ 1 (* a a))) (* (* (+ (* a a) (- 1 a)) (* (- 3 a) (- (* a a) 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ 1 (* a a)) (- 9 (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (* (+ (* a a) (- 1 a)) (* (* a a) (- 3 a))) (- 1 (pow a 4))))) (* (* 4 (+ -1 a)) (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1256 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* (+ (* a a) (- 1 a)) (+ 9 (* (+ a 3) a))))) (* (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))) (* (* a a) (- 3 a)))) 4)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ 1 (* a a))) (* (* (+ (* a a) (- 1 a)) (* (- 27 (pow a 3)) (+ 1 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* (+ (* a a) (- 1 a)) (+ 9 (* (+ a 3) a))))) (* (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))) (* (* a a) (- 3 a)))) 4)) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ 1 (* a a))) (* (* (+ (* a a) (- 1 a)) (* (- 27 (pow a 3)) (+ 1 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1257 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (* (* a a) (- 3 a))) (- 1 (pow a 4)))) (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (* (* a a) (- 3 a))) (- 1 (pow a 4)))) (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1258 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))) (* (- (* a a) 1) (- 27 (pow a 3))))) (* (* (+ (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (- 9 (* a a)) (* b b))) (* (* (+ (* a a) (- 1 a)) (* (* a a) (- 3 a))) (- 1 (pow a 4)))) 4) (* (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* (+ 9 (* a (+ a 3))) (+ a -1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))) (* (- (* a a) 1) (- 27 (pow a 3))))) (* (* (+ (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (- 9 (* a a)) (* b b))) (* (* (+ (* a a) (- 1 a)) (* (* a a) (- 3 a))) (- 1 (pow a 4)))) 4) (* (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* (+ 9 (* a (+ a 3))) (+ a -1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1259 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (* (* (+ 1 (* a a)) (- 9 (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (- 1 (pow a 4)) (* (* (* a a) (- 3 a)) (+ (* a a) (- 1 a))))) (* (* 4 (* (+ a -1) (+ a 3))) (- (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (* (- (* a a) 1) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (* (* (+ 1 (* a a)) (- 9 (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (- 1 (pow a 4)) (* (* (* a a) (- 3 a)) (+ (* a a) (- 1 a))))) (* (* 4 (* (+ a -1) (+ a 3))) (- (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (* (- (* a a) 1) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1260 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* 4 (+ 9 (* (+ a 3) a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (- 9 (* a a)) (* b b))) (* (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))) (* (* a a) (- 3 a))))) (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (* (+ a 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* 4 (+ 9 (* (+ a 3) a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (- 9 (* a a)) (* b b))) (* (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))) (* (* a a) (- 3 a))))) (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (* (+ a 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1261 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (* (- 9 (* a a)) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a)))))) (* (+ (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (- 9 (* a a)) (* b b))) (* (* (+ (* a a) (- 1 a)) (* (* a a) (- 3 a))) (- 1 (pow a 4)))) (* (* 4 (+ a 3)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (* (- 9 (* a a)) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a)))))) (* (+ (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (- 9 (* a a)) (* b b))) (* (* (+ (* a a) (- 1 a)) (* (* a a) (- 3 a))) (- 1 (pow a 4)))) (* (* 4 (+ a 3)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1262 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (* (+ 1 (* a a)) (- 9 (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (* a a) (- 1 a))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))) (* (* (- 3 a) (+ 1 (pow a 3))) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (* (+ 1 (* a a)) (- 9 (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (* a a) (- 1 a))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))) (* (* (- 3 a) (+ 1 (pow a 3))) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1263 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* 4 (+ a -1)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (- 3 a)) (* (* a a) (- 1 (pow a 4)))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))) (* (* (- 3 a) (- (* a a) 1)) (* (+ (* a a) (- 1 a)) (+ 1 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* 4 (+ a -1)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (- 3 a)) (* (* a a) (- 1 (pow a 4)))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))) (* (* (- 3 a) (- (* a a) 1)) (* (+ (* a a) (- 1 a)) (+ 1 (* a a))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1264 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* 4 (+ (* a a) (- 1 a))) (+ 9 (* (+ a 3) a))) (+ (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (- 9 (* a a)) (* b b))) (* (* (* a a) (- 3 a)) (* (+ (* a a) (- 1 a)) (- 1 (pow a 4)))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (* (+ (* a a) (- 1 a)) (+ 1 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* 4 (+ (* a a) (- 1 a))) (+ 9 (* (+ a 3) a))) (+ (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (- 9 (* a a)) (* b b))) (* (* (* a a) (- 3 a)) (* (+ (* a a) (- 1 a)) (- 1 (pow a 4)))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (* (+ (* a a) (- 1 a)) (+ 1 (* a a))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1265 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (158 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (- 9 (* a a)) (* b b))) (* (* (* a a) (- 3 a)) (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))))) (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (- 9 (* a a)) (* b b))) (* (* (* a a) (- 3 a)) (* (+ (* a a) (- 1 a)) (- 1 (pow a 4))))) (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1266 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* 4 (+ -1 a)) (+ 9 (* (+ a 3) a))) (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ 1 (* a a)))) (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (* a a) (- 1 a))))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (- 27 (pow a 3)) (+ (* a a) -1)) (* (+ (* a a) (- 1 a)) (+ 1 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* 4 (+ -1 a)) (+ 9 (* (+ a 3) a))) (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ 1 (* a a)))) (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ (* a a) (- 1 a))))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (- 27 (pow a 3)) (+ (* a a) -1)) (* (+ (* a a) (- 1 a)) (+ 1 (* a a))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1267 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- a 1) (+ 3 a))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (164 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (* (- (* a a) 1) (- 9 (* a a)))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (- 9 (* a a)) (* b b))) (* (* (+ (* a a) (- 1 a)) (* (* a a) (- 3 a))) (- 1 (pow a 4)))) (* (* (+ a 3) (+ a -1)) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (* (- (* a a) 1) (- 9 (* a a)))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (- 9 (* a a)) (* b b))) (* (* (+ (* a a) (- 1 a)) (* (* a a) (- 3 a))) (- 1 (pow a 4)))) (* (* (+ a 3) (+ a -1)) 4)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1268 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* (* (- 27 (pow a 3)) (+ a 1)) (* (+ (* a a) (- 1 a)) (+ 1 (* a a))))) (* (* (+ 9 (* (+ a 3) a)) 4) (+ (* (* (+ 1 (* a a)) (- 9 (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (* (* a a) (- 3 a)) (* (+ (* a a) (- 1 a)) (- 1 (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* (* (- 27 (pow a 3)) (+ a 1)) (* (+ (* a a) (- 1 a)) (+ 1 (* a a))))) (* (* (+ 9 (* (+ a 3) a)) 4) (+ (* (* (+ 1 (* a a)) (- 9 (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (* (* a a) (- 3 a)) (* (+ (* a a) (- 1 a)) (- 1 (pow a 4)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1269 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (+ 3 a)) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (156 enodes) * [exit]simplify: Simplified to (* (+ (* (+ 12 (* 4 a)) (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ 1 (* a a)))) (* (* (* a a) (- 3 a)) (* (+ (* a a) (- 1 a)) (- 1 (pow a 4)))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (* (- 9 (* a a)) (+ a 1)) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ 12 (* 4 a)) (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ 1 (* a a)))) (* (* (* a a) (- 3 a)) (* (+ (* a a) (- 1 a)) (- 1 (pow a 4)))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (* (- 9 (* a a)) (+ a 1)) (* (+ (* a a) (- 1 a)) (+ 1 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 1270 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (148 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (- 3 a) (+ 1 (pow a 3))) (* (+ (* a a) (- 1 a)) (+ 1 (* a a))))) (* (+ (* (* (+ 1 (* a a)) (- 9 (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (- 1 (pow a 4)) (* (* (* a a) (- 3 a)) (+ (* a a) (- 1 a))))) (* 4 (+ (* a a) (- 1 a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (- 3 a) (+ 1 (pow a 3))) (* (+ (* a a) (- 1 a)) (+ 1 (* a a))))) (* (+ (* (* (+ 1 (* a a)) (- 9 (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (- 1 (pow a 4)) (* (* (* a a) (- 3 a)) (+ (* a a) (- 1 a))))) (* 4 (+ (* a a) (- 1 a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 1271 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (- a 1)) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (149 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (* (- 3 a) (- (* a a) 1))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a))))) (* (+ (* a 4) -4) (+ (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (- 9 (* a a)) (* b b))) (* (* (+ (* a a) (- 1 a)) (* (* a a) (- 3 a))) (- 1 (pow a 4)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (+ (* a a) (- 1 a)) (+ 1 (* a a))) (* (- 3 a) (- (* a a) 1))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a))))) (* (+ (* a 4) -4) (+ (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (- 9 (* a a)) (* b b))) (* (* (+ (* a a) (- 1 a)) (* (* a a) (- 3 a))) (- 1 (pow a 4)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (- a 1))))) 1)) * * * * [misc]progress: [ 1272 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (- 3 a)) (* (* a a) (- 1 (pow a 4))))) 4)) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (- 3 a) (+ a 1)) (* (+ (* a a) (- 1 a)) (+ 1 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ 1 (* a a)))) (* (* (+ (* a a) (- 1 a)) (- 3 a)) (* (* a a) (- 1 (pow a 4))))) 4)) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (- 3 a) (+ a 1)) (* (+ (* a a) (- 1 a)) (+ 1 (* a a))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 1273 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 1 (* a a)) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * [exit]simplify: Simplified to (* (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) (* (* (+ a 1) (- 3 a)) (* (+ (* a a) (- 1 a)) (+ 1 (* a a))))) (* (+ (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (- 9 (* a a)) (* b b))) (* (* (+ (* a a) (- 1 a)) (* (* a a) (- 3 a))) (- 1 (pow a 4)))) (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) (* (* (+ a 1) (- 3 a)) (* (+ (* a a) (- 1 a)) (+ 1 (* a a))))) (* (+ (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (- 9 (* a a)) (* b b))) (* (* (+ (* a a) (- 1 a)) (* (* a a) (- 3 a))) (- 1 (pow a 4)))) (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (+ (* a a) (- (* 1 1) (* a 1)))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 1274 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 1 (* a a)) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ a -1) (- 3 a)) (* (* a a) (- 1 (pow a 4)))) (* (* (+ (* a a) -1) (* b b)) (* (- 9 (* a a)) (+ 1 (* a a)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3))))) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (+ 1 (* a a)) (+ a -1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ a -1) (- 3 a)) (* (* a a) (- 1 (pow a 4)))) (* (* (+ (* a a) -1) (* b b)) (* (- 9 (* a a)) (+ 1 (* a a)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3))))) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (+ 1 (* a a)) (+ a -1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1275 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ 1 (* a a)) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (182 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (- a 1) (* (* a a) (- 3 a))) (- 1 (pow a 4))) (* (* (+ 1 (* a a)) (- 9 (* a a))) (* (- (* a a) 1) (* b b)))) 4) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (* (+ a 3) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)))) (* (* (* (* (+ 1 (* a a)) (- a 1)) (* (+ (pow a 3) 1) (- 9 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (- a 1) (* (* a a) (- 3 a))) (- 1 (pow a 4))) (* (* (+ 1 (* a a)) (- 9 (* a a))) (* (- (* a a) 1) (* b b)))) 4) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (* (+ a 3) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)))) (* (* (* (* (+ 1 (* a a)) (- a 1)) (* (+ (pow a 3) 1) (- 9 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1276 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 1 (* a a)) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (184 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)) (* (+ 1 (* a a)) (+ -1 a))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)) (* (- (* a a) 1) (- 27 (pow a 3))))) (* (* (* (+ (* (- 1 (pow a 4)) (* (* (* a a) (- 3 a)) (+ -1 a))) (* (* (- (* a a) 1) (* b b)) (* (- 9 (* a a)) (+ 1 (* a a))))) 4) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (* (+ -1 a) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)) (* (+ 1 (* a a)) (+ -1 a))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)) (* (- (* a a) 1) (- 27 (pow a 3))))) (* (* (* (+ (* (- 1 (pow a 4)) (* (* (* a a) (- 3 a)) (+ -1 a))) (* (* (- (* a a) 1) (* b b)) (* (- 9 (* a a)) (+ 1 (* a a))))) 4) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (* (+ -1 a) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1277 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (+ 1 (* a a)) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (+ a -1))) (* (* (- (* a a) 1) (* b b)) (* (- 9 (* a a)) (+ 1 (* a a)))))) (* (* 4 (* (+ a -1) (+ a 3))) (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 1 (* a a)) (+ a -1))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- (* a a) 1) (- 9 (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (+ a -1))) (* (* (- (* a a) 1) (* b b)) (* (- 9 (* a a)) (+ 1 (* a a)))))) (* (* 4 (* (+ a -1) (+ a 3))) (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 1 (* a a)) (+ a -1))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- (* a a) 1) (- 9 (* a a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1278 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 1 (* a a)) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (182 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ 1 (* a a))) (* (* (+ -1 a) (* (+ a 1) (- 27 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ -1 a)) (* (* (+ 1 (* a a)) (- (* a a) 1)) (* (- 9 (* a a)) (* b b)))) 4) (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (+ 9 (* a (+ a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ 1 (* a a))) (* (* (+ -1 a) (* (+ a 1) (- 27 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ -1 a)) (* (* (+ 1 (* a a)) (- (* a a) 1)) (* (- 9 (* a a)) (* b b)))) 4) (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (+ 9 (* a (+ a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1279 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (+ 1 (* a a)) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3)) (* (+ (* (* (+ a -1) (* (* a a) (- 3 a))) (- 1 (* (* a a) (* a a)))) (* (* (+ 1 (* a a)) (- (* a a) 1)) (* (* b b) (- 9 (* a a))))) 4)) (* (+ a 3) (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3)) (* (+ (pow (* (* (* a a) (* b 2)) b) 3) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (- 9 (* a a)) (+ a 1)) (* (+ 1 (* a a)) (+ a -1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3)) (* (+ (* (* (+ a -1) (* (* a a) (- 3 a))) (- 1 (* (* a a) (* a a)))) (* (* (+ 1 (* a a)) (- (* a a) 1)) (* (* b b) (- 9 (* a a))))) 4)) (* (+ a 3) (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3)) (* (+ (pow (* (* (* a a) (* b 2)) b) 3) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (- 9 (* a a)) (+ a 1)) (* (+ 1 (* a a)) (+ a -1)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1280 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ 1 (* a a)) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* a a) (- 1 a)) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (* (+ (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ -1 a)) (* (* (- (* a a) 1) (* b b)) (* (- 9 (* a a)) (+ 1 (* a a))))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ 1 (* a a))) (* (* (+ -1 a) (* (- 3 a) (+ (pow a 3) 1))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* a a) (- 1 a)) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (* (+ (* (* (* (* a a) (- 3 a)) (- 1 (pow a 4))) (+ -1 a)) (* (* (- (* a a) 1) (* b b)) (* (- 9 (* a a)) (+ 1 (* a a))))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ 1 (* a a))) (* (* (+ -1 a) (* (- 3 a) (+ (pow a 3) 1))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1281 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (+ 1 (* a a)) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (155 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (+ -1 a) (* (* a a) (- 3 a))) (- 1 (* (* a a) (* a a)))) (* (* (- (* a a) 1) (* b b)) (* (- 9 (* a a)) (+ 1 (* a a))))) 4) (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (+ -1 a) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (* (+ 1 (* a a)) (+ -1 a)) (* (- 3 a) (- (* a a) 1))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (+ -1 a) (* (* a a) (- 3 a))) (- 1 (* (* a a) (* a a)))) (* (* (- (* a a) 1) (* b b)) (* (- 9 (* a a)) (+ 1 (* a a))))) 4) (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (+ -1 a) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (* (+ 1 (* a a)) (+ -1 a)) (* (- 3 a) (- (* a a) 1))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1282 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 1 (* a a)) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (+ a -1) (- 1 (pow a 4))) (* (* a a) (- 3 a))) (* (* (- (* a a) 1) (* b b)) (* (- 9 (* a a)) (+ 1 (* a a))))) 4) (* (* (* (+ (* (+ a 3) a) 9) (+ (- 1 a) (* a a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (+ 1 (* a a)) (+ a -1))) (* (* (+ (pow a 3) 1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (+ a -1) (- 1 (pow a 4))) (* (* a a) (- 3 a))) (* (* (- (* a a) 1) (* b b)) (* (- 9 (* a a)) (+ 1 (* a a))))) 4) (* (* (* (+ (* (+ a 3) a) 9) (+ (- 1 a) (* a a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (+ 1 (* a a)) (+ a -1))) (* (* (+ (pow a 3) 1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1283 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ 1 (* a a)) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (* (+ -1 a) (* (* a a) (- 3 a))) (- 1 (pow a 4))) (* (* (+ 1 (* a a)) (- (* a a) 1)) (* (* b b) (- 9 (* a a))))) (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) (* (* (* (+ 1 (* a a)) (+ -1 a)) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (* (+ -1 a) (* (* a a) (- 3 a))) (- 1 (pow a 4))) (* (* (+ 1 (* a a)) (- (* a a) 1)) (* (* b b) (- 9 (* a a))))) (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) (* (* (* (+ 1 (* a a)) (+ -1 a)) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1284 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 1 (* a a)) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 27 (pow a 3)) (+ (* a a) -1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (* (+ 1 (* a a)) (+ -1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ -1 a) (* (* a a) (- 3 a))) (- 1 (pow a 4))) (* (* (+ (* a a) -1) (* b b)) (* (- 9 (* a a)) (+ 1 (* a a)))))) (* (* (* (+ 9 (* a (+ a 3))) (+ -1 a)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) 4))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 27 (pow a 3)) (+ (* a a) -1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (* (+ 1 (* a a)) (+ -1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ -1 a) (* (* a a) (- 3 a))) (- 1 (pow a 4))) (* (* (+ (* a a) -1) (* b b)) (* (- 9 (* a a)) (+ 1 (* a a)))))) (* (* (* (+ 9 (* a (+ a 3))) (+ -1 a)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) 4))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1285 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (+ 1 (* a a)) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* 4 (* (- a 1) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (+ (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (- a 1))) (* (* (+ 1 (* a a)) (- (* a a) 1)) (* (- 9 (* a a)) (* b b))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (* (- (* a a) 1) (- 9 (* a a))) (* (+ 1 (* a a)) (- a 1))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* 4 (* (- a 1) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (+ (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (- a 1))) (* (* (+ 1 (* a a)) (- (* a a) 1)) (* (- 9 (* a a)) (* b b))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (* (- (* a a) 1) (- 9 (* a a))) (* (+ 1 (* a a)) (- a 1))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1286 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 1 (* a a)) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (* (* (+ -1 a) (* (* a a) (- 3 a))) (- 1 (pow a 4))) (* (* (- (* a a) 1) (* b b)) (* (- 9 (* a a)) (+ 1 (* a a))))) (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) (* (* (- 27 (pow a 3)) (+ a 1)) (* (+ 1 (* a a)) (+ -1 a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (* (* (+ -1 a) (* (* a a) (- 3 a))) (- 1 (pow a 4))) (* (* (- (* a a) 1) (* b b)) (* (- 9 (* a a)) (+ 1 (* a a))))) (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) (* (* (- 27 (pow a 3)) (+ a 1)) (* (+ 1 (* a a)) (+ -1 a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1287 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (+ 1 (* a a)) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (- a 1))) (* (* (+ 1 (* a a)) (+ (* a a) -1)) (* (- 9 (* a a)) (* b b)))) (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (* (* (- 9 (* a a)) (+ a 1)) (* (+ 1 (* a a)) (- a 1))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (- a 1))) (* (* (+ 1 (* a a)) (+ (* a a) -1)) (* (- 9 (* a a)) (* b b)))) (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (* (* (- 9 (* a a)) (+ a 1)) (* (+ 1 (* a a)) (- a 1))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1288 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ 1 (* a a)) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (164 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ 1 (* a a)) (+ a -1)) (* (- 3 a) (+ 1 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))) (* (+ (* (* (+ a -1) (- 3 a)) (* (* a a) (- 1 (pow a 4)))) (* (* (- (* a a) 1) (* b b)) (* (- 9 (* a a)) (+ 1 (* a a))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ 1 (* a a)) (+ a -1)) (* (- 3 a) (+ 1 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))) (* (+ (* (* (+ a -1) (- 3 a)) (* (* a a) (- 1 (pow a 4)))) (* (* (- (* a a) 1) (* b b)) (* (- 9 (* a a)) (+ 1 (* a a))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1289 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (+ 1 (* a a)) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* 4 (+ a -1)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (* (+ a -1) (* (* a a) (- 3 a))) (- 1 (* (* a a) (* a a)))) (* (* (- (* a a) 1) (* b b)) (* (- 9 (* a a)) (+ 1 (* a a)))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (* (- 3 a) (- (* a a) 1)) (* (+ 1 (* a a)) (+ a -1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* 4 (+ a -1)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (* (+ a -1) (* (* a a) (- 3 a))) (- 1 (* (* a a) (* a a)))) (* (* (- (* a a) 1) (* b b)) (* (- 9 (* a a)) (+ 1 (* a a)))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (* (- 3 a) (- (* a a) 1)) (* (+ 1 (* a a)) (+ a -1)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1290 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 1 (* a a)) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (166 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ 1 (* a a)) (+ a -1)) (* (- 27 (pow a 3)) (+ (pow a 3) 1))) (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ 9 (* a (+ a 3)))) (+ (* (* (* a a) (- 3 a)) (* (+ a -1) (- 1 (pow a 4)))) (* (* (+ 1 (* a a)) (- (* a a) 1)) (* (- 9 (* a a)) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ 1 (* a a)) (+ a -1)) (* (- 27 (pow a 3)) (+ (pow a 3) 1))) (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ 9 (* a (+ a 3)))) (+ (* (* (* a a) (- 3 a)) (* (+ a -1) (- 1 (pow a 4)))) (* (* (+ 1 (* a a)) (- (* a a) 1)) (* (- 9 (* a a)) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (- a 1)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1291 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (+ 1 (* a a)) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (154 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ 1 (* a a)) (+ -1 a)) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))) (* (+ (* (* (+ -1 a) (* (* a a) (- 3 a))) (- 1 (pow a 4))) (* (* (+ 1 (* a a)) (+ (* a a) -1)) (* (* b b) (- 9 (* a a))))) (* (* 4 (+ a 3)) (+ (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ 1 (* a a)) (+ -1 a)) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))) (* (+ (* (* (+ -1 a) (* (* a a) (- 3 a))) (- 1 (pow a 4))) (* (* (+ 1 (* a a)) (+ (* a a) -1)) (* (* b b) (- 9 (* a a))))) (* (* 4 (+ a 3)) (+ (- 1 a) (* a a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (- a 1)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1292 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 1 (* a a)) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (155 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (- 1 (pow a 4)) (* (* (* a a) (- 3 a)) (+ -1 a))) (* (* (+ (* a a) -1) (* b b)) (* (- 9 (* a a)) (+ 1 (* a a))))) (* (* 4 (+ -1 a)) (+ (* (+ a 3) a) 9))) (* (* (* (+ 1 (* a a)) (+ -1 a)) (* (+ (* a a) -1) (- 27 (pow a 3)))) (+ (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (- 1 (pow a 4)) (* (* (* a a) (- 3 a)) (+ -1 a))) (* (* (+ (* a a) -1) (* b b)) (* (- 9 (* a a)) (+ 1 (* a a))))) (* (* 4 (+ -1 a)) (+ (* (+ a 3) a) 9))) (* (* (* (+ 1 (* a a)) (+ -1 a)) (* (+ (* a a) -1) (- 27 (pow a 3)))) (+ (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (- a 1)) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1293 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- a 1) (+ 3 a))) (* (* (+ 1 (* a a)) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (142 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (- 9 (* a a)) (- (* a a) 1)) (* (+ 1 (* a a)) (+ a -1)))) (* (* (* (+ a 3) (+ a -1)) 4) (+ (* (* (+ a -1) (* (* a a) (- 3 a))) (- 1 (* (* a a) (* a a)))) (* (* (+ 1 (* a a)) (- (* a a) 1)) (* (* b b) (- 9 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (- 9 (* a a)) (- (* a a) 1)) (* (+ 1 (* a a)) (+ a -1)))) (* (* (* (+ a 3) (+ a -1)) 4) (+ (* (* (+ a -1) (* (* a a) (- 3 a))) (- 1 (* (* a a) (* a a)))) (* (* (+ 1 (* a a)) (- (* a a) 1)) (* (* b b) (- 9 (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (- a 1)) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1294 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (+ 1 (* a a)) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (+ a 3) a) 4) 36) (+ (* (- 1 (pow a 4)) (* (* (* a a) (- 3 a)) (+ a -1))) (* (* (+ 1 (* a a)) (- 9 (* a a))) (* (- (* a a) 1) (* b b))))) (* (* (* (+ 1 (* a a)) (+ a -1)) (* (- 27 (pow a 3)) (+ a 1))) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (* (+ a 3) a) 4) 36) (+ (* (- 1 (pow a 4)) (* (* (* a a) (- 3 a)) (+ a -1))) (* (* (+ 1 (* a a)) (- 9 (* a a))) (* (- (* a a) 1) (* b b))))) (* (* (* (+ 1 (* a a)) (+ a -1)) (* (- 27 (pow a 3)) (+ a 1))) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (- a 1)) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1295 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (+ 3 a)) (* (* (+ 1 (* a a)) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (+ a -1))) (* (* (- (* a a) 1) (* b b)) (* (- 9 (* a a)) (+ 1 (* a a))))) (+ (* 4 a) 12)) (* (* (* (+ 1 (* a a)) (+ a -1)) (* (+ a 1) (- 9 (* a a)))) (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (+ a -1))) (* (* (- (* a a) 1) (* b b)) (* (- 9 (* a a)) (+ 1 (* a a))))) (+ (* 4 a) 12)) (* (* (* (+ 1 (* a a)) (+ a -1)) (* (+ a 1) (- 9 (* a a)))) (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (- a 1)) (+ 3 a))))) 1)) * * * * [misc]progress: [ 1296 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 1 (* a a)) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))) (* (* (- 3 a) (+ (pow a 3) 1)) (* (+ 1 (* a a)) (+ a -1)))) (* (* (+ (- 1 a) (* a a)) 4) (+ (* (* (+ a -1) (- 3 a)) (* (* a a) (- 1 (pow a 4)))) (* (* (+ 1 (* a a)) (- 9 (* a a))) (* (- (* a a) 1) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))) (* (* (- 3 a) (+ (pow a 3) 1)) (* (+ 1 (* a a)) (+ a -1)))) (* (* (+ (- 1 a) (* a a)) 4) (+ (* (* (+ a -1) (- 3 a)) (* (* a a) (- 1 (pow a 4)))) (* (* (+ 1 (* a a)) (- 9 (* a a))) (* (- (* a a) 1) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (- a 1)) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 1297 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (- a 1)) (* (* (+ 1 (* a a)) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (* (+ -1 a) (* (* a a) (- 3 a))) (- 1 (* (* a a) (* a a)))) (* (* (- (* a a) 1) (* b b)) (* (- 9 (* a a)) (+ 1 (* a a))))) (* 4 (+ -1 a))) (* (* (* (+ 1 (* a a)) (+ -1 a)) (* (- 3 a) (- (* a a) 1))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (* (+ -1 a) (* (* a a) (- 3 a))) (- 1 (* (* a a) (* a a)))) (* (* (- (* a a) 1) (* b b)) (* (- 9 (* a a)) (+ 1 (* a a))))) (* 4 (+ -1 a))) (* (* (* (+ 1 (* a a)) (+ -1 a)) (* (- 3 a) (- (* a a) 1))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (- a 1)) (- a 1))))) 1)) * * * * [misc]progress: [ 1298 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (+ 1 (* a a)) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (+ a 1) (- 3 a)) (* (+ 1 (* a a)) (+ -1 a)))) (* (* (+ (* (* (+ -1 a) (* (* a a) (- 3 a))) (- 1 (* (* a a) (* a a)))) (* (* (+ 1 (* a a)) (- 9 (* a a))) (* (- (* a a) 1) (* b b)))) 4) (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (+ a 1) (- 3 a)) (* (+ 1 (* a a)) (+ -1 a)))) (* (* (+ (* (* (+ -1 a) (* (* a a) (- 3 a))) (- 1 (* (* a a) (* a a)))) (* (* (+ 1 (* a a)) (- 9 (* a a))) (* (- (* a a) 1) (* b b)))) 4) (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (- a 1)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 1299 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- 3 a) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (- a 1)) (* (+ 1 (* a a)) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ 1 (* a a)) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a))) (* (* (- 3 a) (+ a 1)) (* (+ 1 (* a a)) (+ a -1)))) (* (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) 4) (+ (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (+ a -1))) (* (* (- (* a a) 1) (* b b)) (* (- 9 (* a a)) (+ 1 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a))) (* (* (- 3 a) (+ a 1)) (* (+ 1 (* a a)) (+ a -1)))) (* (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) 4) (+ (* (- 1 (* (* a a) (* a a))) (* (* (* a a) (- 3 a)) (+ a -1))) (* (* (- (* a a) 1) (* b b)) (* (- 9 (* a a)) (+ 1 (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 1 (* a a)) (- a 1)) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 1300 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (216 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (* b b) (+ (pow a 3) 1)) (+ 9 (* a (+ a 3))))) (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (* a a)) (+ (- 1 a) (* a a)))) (+ (* (* a 9) a) (+ (pow a 4) 81))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (* (* a 9) a) (+ (pow a 4) 81)) (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))) (* (* (- 27 (pow a 3)) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (* b b) (+ (pow a 3) 1)) (+ 9 (* a (+ a 3))))) (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (* a a)) (+ (- 1 a) (* a a)))) (+ (* (* a 9) a) (+ (pow a 4) 81))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (* (* a 9) a) (+ (pow a 4) 81)) (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))) (* (* (- 27 (pow a 3)) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1301 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (* b b) (+ (pow a 3) 1)) (+ 9 (* a (+ a 3))))) (* (* (* (- 1 (* a a)) (+ (- 1 a) (* a a))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (* (* a a) (- 27 (pow a 3)))))) (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (+ (- 1 a) (* a a)) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ 9 (* a (+ a 3))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (* b b) (+ (pow a 3) 1)) (+ 9 (* a (+ a 3))))) (* (* (* (- 1 (* a a)) (+ (- 1 a) (* a a))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (* (* a a) (- 27 (pow a 3)))))) (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (+ (- 1 a) (* a a)) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ 9 (* a (+ a 3))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1302 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ 9 (* (+ a 3) a)) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ (pow a 3) 1)))) (* (+ (+ 81 (pow a 4)) (* (* a 9) a)) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (* a a)) (+ (- 1 a) (* a a))))))) (* (* 4 (* (+ -1 a) (+ 9 (* (+ a 3) a)))) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (- (* a a) 1) (- 27 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (* (+ 9 (* (+ a 3) a)) (+ (+ 81 (pow a 4)) (* (* a 9) a))) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ 9 (* (+ a 3) a)) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ (pow a 3) 1)))) (* (+ (+ 81 (pow a 4)) (* (* a 9) a)) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (* a a)) (+ (- 1 a) (* a a))))))) (* (* 4 (* (+ -1 a) (+ 9 (* (+ a 3) a)))) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (- (* a a) 1) (- 27 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (* (+ 9 (* (+ a 3) a)) (+ (+ 81 (pow a 4)) (* (* a 9) a))) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1303 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 9 (* a a)) (+ (* a a) -1))) (* (* (* (+ 9 (* a (+ a 3))) (+ (+ (pow a 4) 81) (* (* a 9) a))) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ 9 (* a (+ a 3))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ (pow a 3) 1)))) (* (* (* (- 1 (* a a)) (+ (- 1 a) (* a a))) (+ (+ (pow a 4) 81) (* (* a 9) a))) (* (* a a) (- 27 (pow a 3)))))) (* (* 4 (* (+ -1 a) (+ a 3))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 9 (* a a)) (+ (* a a) -1))) (* (* (* (+ 9 (* a (+ a 3))) (+ (+ (pow a 4) 81) (* (* a 9) a))) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ 9 (* a (+ a 3))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ (pow a 3) 1)))) (* (* (* (- 1 (* a a)) (+ (- 1 a) (* a a))) (+ (+ (pow a 4) 81) (* (* a 9) a))) (* (* a a) (- 27 (pow a 3)))))) (* (* 4 (* (+ -1 a) (+ a 3))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1304 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (* b b) (+ (pow a 3) 1)) (+ 9 (* a (+ a 3))))) (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (* a a)) (+ (- 1 a) (* a a))) (+ (+ 81 (pow a 4)) (* (* a 9) a)))))) (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* (* (* b 2) (* b (* a a))) (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (+ 9 (* a (+ a 3))) (+ (+ 81 (pow a 4)) (* (* a 9) a))) (+ (- 1 a) (* a a))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (+ a 1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (* b b) (+ (pow a 3) 1)) (+ 9 (* a (+ a 3))))) (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (* a a)) (+ (- 1 a) (* a a))) (+ (+ 81 (pow a 4)) (* (* a 9) a)))))) (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* (* (* b 2) (* b (* a a))) (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (+ 9 (* a (+ a 3))) (+ (+ 81 (pow a 4)) (* (* a 9) a))) (+ (- 1 a) (* a a))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (+ a 1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1305 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (220 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ 9 (* a (+ a 3))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ (pow a 3) 1)))) (* (* (* (- 1 (* a a)) (+ (- 1 a) (* a a))) (+ (+ (pow a 4) 81) (* a (* a 9)))) (* (* a a) (- 27 (pow a 3)))))) (* (* 4 (+ a 3)) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 9 (* a (+ a 3))) (+ (- 1 a) (* a a))) (+ (+ (pow a 4) 81) (* a (* a 9))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ a 1) (- 9 (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ 9 (* a (+ a 3))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ (pow a 3) 1)))) (* (* (* (- 1 (* a a)) (+ (- 1 a) (* a a))) (+ (+ (pow a 4) 81) (* a (* a 9)))) (* (* a a) (- 27 (pow a 3)))))) (* (* 4 (+ a 3)) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 9 (* a (+ a 3))) (+ (- 1 a) (* a a))) (+ (+ (pow a 4) 81) (* a (* a 9))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ a 1) (- 9 (* a a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1306 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (216 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ 9 (* a (+ a 3))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ (pow a 3) 1)))) (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (* a a)) (+ (- 1 a) (* a a))) (+ (* a (* a 9)) (+ (pow a 4) 81)))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (- 1 a) (* a a)) (* (+ (* a (* a 9)) (+ (pow a 4) 81)) (+ 9 (* a (+ a 3))))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (- 3 a) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ 9 (* a (+ a 3))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ (pow a 3) 1)))) (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (* a a)) (+ (- 1 a) (* a a))) (+ (* a (* a 9)) (+ (pow a 4) 81)))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (- 1 a) (* a a)) (* (+ (* a (* a 9)) (+ (pow a 4) 81)) (+ 9 (* a (+ a 3))))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (- 3 a) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1307 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (217 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* b b) (+ (pow a 3) 1)) (* (- 729 (* (pow a 3) (pow a 3))) (+ 9 (* a (+ a 3))))) (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (* a a)) (+ (- 1 a) (* a a)))) (+ (+ 81 (pow a 4)) (* a (* a 9)))))) (* (* 4 (+ -1 a)) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (+ 81 (pow a 4)) (* a (* a 9))) (* (+ 9 (* a (+ a 3))) (+ (- 1 a) (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (* a a) 1) (- 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* b b) (+ (pow a 3) 1)) (* (- 729 (* (pow a 3) (pow a 3))) (+ 9 (* a (+ a 3))))) (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (* a a)) (+ (- 1 a) (* a a)))) (+ (+ 81 (pow a 4)) (* a (* a 9)))))) (* (* 4 (+ -1 a)) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (+ 81 (pow a 4)) (* a (* a 9))) (* (+ 9 (* a (+ a 3))) (+ (- 1 a) (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (* a a) 1) (- 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1308 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (208 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 27 (pow a 3)) (+ (pow a 3) 1)) (* (- (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (* (* (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))) (+ (+ (pow a 4) 81) (* a (* a 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* 4 (+ (* (* (+ 9 (* a (+ a 3))) (+ (pow a 3) 1)) (* (- 729 (* (pow a 3) (pow a 3))) (* b b))) (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (* a a)) (+ (- 1 a) (* a a)))) (+ (+ (pow a 4) 81) (* a (* a 9)))))) (* (* (- (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 27 (pow a 3)) (+ (pow a 3) 1)) (* (- (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (* (* (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))) (+ (+ (pow a 4) 81) (* a (* a 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* 4 (+ (* (* (+ 9 (* a (+ a 3))) (+ (pow a 3) 1)) (* (- 729 (* (pow a 3) (pow a 3))) (* b b))) (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (* a a)) (+ (- 1 a) (* a a)))) (+ (+ (pow a 4) 81) (* a (* a 9)))))) (* (* (- (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1309 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (- 9 (* a a)) (+ (pow a 3) 1)))) (* (* (* (+ 9 (* a (+ a 3))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (* (* b b) (+ (pow a 3) 1)) (* (- 729 (* (pow a 3) (pow a 3))) (+ 9 (* a (+ a 3))))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (* a a)) (+ (- 1 a) (* a a)))))) (* (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (- 9 (* a a)) (+ (pow a 3) 1)))) (* (* (* (+ 9 (* a (+ a 3))) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (* (* b b) (+ (pow a 3) 1)) (* (- 729 (* (pow a 3) (pow a 3))) (+ 9 (* a (+ a 3))))) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (* a a)) (+ (- 1 a) (* a a)))))) (* (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1310 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (216 enodes) * [exit]simplify: Simplified to (* (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (* (- 27 (pow a 3)) (- (* a a) 1)) (* (* (+ 9 (* a (+ a 3))) (+ (+ (pow a 4) 81) (* (* a 9) a))) (+ (- 1 a) (* a a))))) (* (+ (* (+ 9 (* a (+ a 3))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ (pow a 3) 1)))) (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (* a a)) (+ (- 1 a) (* a a))) (+ (+ (pow a 4) 81) (* (* a 9) a))))) (* (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ 9 (* a (+ a 3))) (+ a -1))) 4))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (* (- 27 (pow a 3)) (- (* a a) 1)) (* (* (+ 9 (* a (+ a 3))) (+ (+ (pow a 4) 81) (* (* a 9) a))) (+ (- 1 a) (* a a))))) (* (+ (* (+ 9 (* a (+ a 3))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ (pow a 3) 1)))) (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (* a a)) (+ (- 1 a) (* a a))) (+ (+ (pow a 4) 81) (* (* a 9) a))))) (* (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (+ 9 (* a (+ a 3))) (+ a -1))) 4))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1311 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (220 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ 9 (* a (+ a 3))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ (pow a 3) 1)))) (* (* (* (- 1 (* a a)) (+ (- 1 a) (* a a))) (+ (* (* a 9) a) (+ (pow a 4) 81))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (* (+ a 3) (+ a -1))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ 9 (* a (+ a 3))) (+ (* (* a 9) a) (+ (pow a 4) 81))) (+ (- 1 a) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (- 9 (* a a)) (- (* a a) 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ 9 (* a (+ a 3))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ (pow a 3) 1)))) (* (* (* (- 1 (* a a)) (+ (- 1 a) (* a a))) (+ (* (* a 9) a) (+ (pow a 4) 81))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (* (+ a 3) (+ a -1))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ 9 (* a (+ a 3))) (+ (* (* a 9) a) (+ (pow a 4) 81))) (+ (- 1 a) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (- 9 (* a a)) (- (* a a) 1)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1312 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 27 (pow a 3)) (+ a 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (+ 9 (* a (+ a 3))) (+ (- 1 a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (+ 9 (* a (+ a 3))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ (pow a 3) 1)))) (* (* (* (- 1 (* a a)) (+ (- 1 a) (* a a))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 27 (pow a 3)) (+ a 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (+ 9 (* a (+ a 3))) (+ (- 1 a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (+ 9 (* a (+ a 3))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ (pow a 3) 1)))) (* (* (* (- 1 (* a a)) (+ (- 1 a) (* a a))) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1313 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 9 (* a (+ a 3))) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (+ (- 1 a) (* a a)))) (* (* (- 9 (* a a)) (+ a 1)) (* (- (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a))))) (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (* b b) (+ (pow a 3) 1)) (+ 9 (* a (+ a 3))))) (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (* a a)) (+ (- 1 a) (* a a))) (+ (+ 81 (pow a 4)) (* a (* a 9)))))) (* (* (* 4 (+ a 3)) (- (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 9 (* a (+ a 3))) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (+ (- 1 a) (* a a)))) (* (* (- 9 (* a a)) (+ a 1)) (* (- (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a))))) (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (* b b) (+ (pow a 3) 1)) (+ 9 (* a (+ a 3))))) (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (* a a)) (+ (- 1 a) (* a a))) (+ (+ 81 (pow a 4)) (* a (* a 9)))))) (* (* (* 4 (+ a 3)) (- (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1314 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (208 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ 9 (* a (+ a 3)))) (* (* (* (+ (- 1 a) (* a a)) (+ (+ (pow a 4) 81) (* a (* a 9)))) (* (+ (pow a 3) 1) (- 3 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))))) (* (+ (* (+ 9 (* a (+ a 3))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ (pow a 3) 1)))) (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (* a a)) (+ (- 1 a) (* a a)))) (+ (+ (pow a 4) 81) (* a (* a 9))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ 9 (* a (+ a 3)))) (* (* (* (+ (- 1 a) (* a a)) (+ (+ (pow a 4) 81) (* a (* a 9)))) (* (+ (pow a 3) 1) (- 3 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))))) (* (+ (* (+ 9 (* a (+ a 3))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ (pow a 3) 1)))) (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (* a a)) (+ (- 1 a) (* a a)))) (+ (+ (pow a 4) 81) (* a (* a 9))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1315 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 9 (* a (+ a 3))) (+ (pow a 3) 1)) (* (- 729 (* (pow a 3) (pow a 3))) (* b b))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (* a a)) (+ (- 1 a) (* a a)))))) (* (* (* 4 (+ -1 a)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* a a) (* b b))) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* a a) (* b b))) 3)) (+ 9 (* a (+ a 3)))) (* (* (* (+ (- 1 a) (* a a)) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (* (- 3 a) (- (* a a) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 9 (* a (+ a 3))) (+ (pow a 3) 1)) (* (- 729 (* (pow a 3) (pow a 3))) (* b b))) (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (* a a)) (+ (- 1 a) (* a a)))))) (* (* (* 4 (+ -1 a)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* a a) (* b b))) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* a a) (* b b))) 3)) (+ 9 (* a (+ a 3)))) (* (* (* (+ (- 1 a) (* a a)) (+ (+ (pow a 4) 81) (* 9 (* a a)))) (* (- 3 a) (- (* a a) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1316 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (187 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (+ 9 (* a (+ a 3)))) (- 729 (* (pow a 3) (pow a 3)))) (* (+ (+ 81 (pow a 4)) (* a (* a 9))) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (* a a)) (+ (- 1 a) (* a a)))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3)))) (* (* (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (* (* (* (- 27 (pow a 3)) (+ (pow a 3) 1)) (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (+ 9 (* a (+ a 3)))) (- 729 (* (pow a 3) (pow a 3)))) (* (+ (+ 81 (pow a 4)) (* a (* a 9))) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (* a a)) (+ (- 1 a) (* a a)))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3)))) (* (* (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (* (* (* (- 27 (pow a 3)) (+ (pow a 3) 1)) (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1317 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 9 (* a (+ a 3))) (+ (pow a 3) 1)) (* (- 729 (* (pow a 3) (pow a 3))) (* b b))) (* (* (* (- 1 (* a a)) (+ (- 1 a) (* a a))) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))) (* (* (+ (- 1 a) (* a a)) (* (+ (+ 81 (pow a 4)) (* a (* a 9))) (+ 9 (* a (+ a 3))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 9 (* a (+ a 3))) (+ (pow a 3) 1)) (* (- 729 (* (pow a 3) (pow a 3))) (* b b))) (* (* (* (- 1 (* a a)) (+ (- 1 a) (* a a))) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))) (* (* (+ (- 1 a) (* a a)) (* (+ (+ 81 (pow a 4)) (* a (* a 9))) (+ 9 (* a (+ a 3))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1318 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (+ 9 (* a (+ a 3)))) (- 729 (* (pow a 3) (pow a 3)))) (* (+ (+ 81 (pow a 4)) (* a (* a 9))) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (* a a)) (+ (- 1 a) (* a a)))))) (* (* (* 4 (- a 1)) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ 9 (* a (+ a 3)))) (* (* (+ (- 1 a) (* a a)) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (* (* (- (* a a) 1) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (+ 9 (* a (+ a 3)))) (- 729 (* (pow a 3) (pow a 3)))) (* (+ (+ 81 (pow a 4)) (* a (* a 9))) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (* a a)) (+ (- 1 a) (* a a)))))) (* (* (* 4 (- a 1)) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ 9 (* a (+ a 3)))) (* (* (+ (- 1 a) (* a a)) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (* (* (- (* a a) 1) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1319 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ 3 a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (- (* a a) 1) (- 9 (* a a)))) (* (+ (* a (* a 9)) (+ (pow a 4) 81)) (* (+ 9 (* a (+ a 3))) (+ (- 1 a) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))) (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (* b b) (+ (pow a 3) 1)) (+ 9 (* a (+ a 3))))) (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (* a a)) (+ (- 1 a) (* a a)))) (+ (* a (* a 9)) (+ (pow a 4) 81)))) (* (* (* 4 (+ a 3)) (- a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (- (* a a) 1) (- 9 (* a a)))) (* (+ (* a (* a 9)) (+ (pow a 4) 81)) (* (+ 9 (* a (+ a 3))) (+ (- 1 a) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))) (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (* b b) (+ (pow a 3) 1)) (+ 9 (* a (+ a 3))))) (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (* a a)) (+ (- 1 a) (* a a)))) (+ (* a (* a 9)) (+ (pow a 4) 81)))) (* (* (* 4 (+ a 3)) (- a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1320 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (+ 9 (* a (+ a 3)))) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (* a a)) (+ (- 1 a) (* a a))) (+ (+ (pow a 4) 81) (* a (* a 9)))))) (* (+ 36 (* (* a (+ a 3)) 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ 9 (* a (+ a 3)))) (* (* (* (+ (- 1 a) (* a a)) (+ (+ (pow a 4) 81) (* a (* a 9)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- 27 (pow a 3)) (+ a 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (+ 9 (* a (+ a 3)))) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (* a a)) (+ (- 1 a) (* a a))) (+ (+ (pow a 4) 81) (* a (* a 9)))))) (* (+ 36 (* (* a (+ a 3)) 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ 9 (* a (+ a 3)))) (* (* (* (+ (- 1 a) (* a a)) (+ (+ (pow a 4) 81) (* a (* a 9)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) 2) (* a a)))) (* (- 27 (pow a 3)) (+ a 1))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1321 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ 3 a)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (+ 9 (* a (+ a 3)))) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* (- 1 (* a a)) (+ (- 1 a) (* a a))) (+ (* a (* a 9)) (+ (pow a 4) 81))) (* (* a a) (- 27 (pow a 3))))) (* (+ 12 (* a 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (* a (* a 9)) (+ (pow a 4) 81)) (* (+ 9 (* a (+ a 3))) (+ (- 1 a) (* a a)))) (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (* (- 9 (* a a)) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (+ 9 (* a (+ a 3)))) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* (- 1 (* a a)) (+ (- 1 a) (* a a))) (+ (* a (* a 9)) (+ (pow a 4) 81))) (* (* a a) (- 27 (pow a 3))))) (* (+ 12 (* a 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (* a (* a 9)) (+ (pow a 4) 81)) (* (+ 9 (* a (+ a 3))) (+ (- 1 a) (* a a)))) (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (* (- 9 (* a a)) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 1322 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (187 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (+ 9 (* a (+ a 3)))) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (* a a)) (+ (- 1 a) (* a a))) (+ (* a (* a 9)) (+ (pow a 4) 81))))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* 2 a))) 3)))) (* (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (* (+ (pow a 3) 1) (- 3 a))) (* (+ (- 1 a) (* a a)) (* (+ (* a (* a 9)) (+ (pow a 4) 81)) (+ 9 (* a (+ a 3)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* 2 a))) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (+ 9 (* a (+ a 3)))) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (* a a)) (+ (- 1 a) (* a a))) (+ (* a (* a 9)) (+ (pow a 4) 81))))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* 2 a))) 3)))) (* (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (* (+ (pow a 3) 1) (- 3 a))) (* (+ (- 1 a) (* a a)) (* (+ (* a (* a 9)) (+ (pow a 4) 81)) (+ 9 (* a (+ a 3)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* 2 a))) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 1323 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (188 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ 9 (* (+ a 3) a)) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ (pow a 3) 1)))) (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (* a a)) (+ (- 1 a) (* a a))) (+ (+ 81 (pow a 4)) (* a (* a 9)))))) (* (+ (* a 4) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (- 3 a) (+ (* a a) -1))) (* (* (+ (+ 81 (pow a 4)) (* a (* a 9))) (* (+ 9 (* (+ a 3) a)) (+ (- 1 a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ 9 (* (+ a 3) a)) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ (pow a 3) 1)))) (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (* a a)) (+ (- 1 a) (* a a))) (+ (+ 81 (pow a 4)) (* a (* a 9)))))) (* (+ (* a 4) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (- 3 a) (+ (* a a) -1))) (* (* (+ (+ 81 (pow a 4)) (* a (* a 9))) (* (+ 9 (* (+ a 3) a)) (+ (- 1 a) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (- a 1))))) 1)) * * * * [misc]progress: [ 1324 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (+ (* (* (+ 9 (* a (+ a 3))) (- 729 (* (pow a 3) (pow a 3)))) (* (* b b) (+ (pow a 3) 1))) (* (* (* (- 1 (* a a)) (+ (- 1 a) (* a a))) (+ (+ (pow a 4) 81) (* a (* a 9)))) (* (* a a) (- 27 (pow a 3)))))) (* (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)) (+ 9 (* a (+ a 3)))) (* (* (* (+ (- 1 a) (* a a)) (+ (+ (pow a 4) 81) (* a (* a 9)))) (* (- 3 a) (+ a 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* 4 (+ (* (* (+ 9 (* a (+ a 3))) (- 729 (* (pow a 3) (pow a 3)))) (* (* b b) (+ (pow a 3) 1))) (* (* (* (- 1 (* a a)) (+ (- 1 a) (* a a))) (+ (+ (pow a 4) 81) (* a (* a 9)))) (* (* a a) (- 27 (pow a 3)))))) (* (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)) (+ 9 (* a (+ a 3)))) (* (* (* (+ (- 1 a) (* a a)) (+ (+ (pow a 4) 81) (* a (* a 9)))) (* (- 3 a) (+ a 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 1325 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ 9 (* (+ a 3) a)) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ (pow a 3) 1)))) (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (* a a)) (+ (- 1 a) (* a a))) (+ (* a (* a 9)) (+ (pow a 4) 81))))) (* (* 4 (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (* (+ 9 (* (+ a 3) a)) (+ (* a (* a 9)) (+ (pow a 4) 81))) (+ (- 1 a) (* a a))) (* (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (* (* (+ a 1) (- 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ 9 (* (+ a 3) a)) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ (pow a 3) 1)))) (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (* a a)) (+ (- 1 a) (* a a))) (+ (* a (* a 9)) (+ (pow a 4) 81))))) (* (* 4 (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (* (+ 9 (* (+ a 3) a)) (+ (* a (* a 9)) (+ (pow a 4) 81))) (+ (- 1 a) (* a a))) (* (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (* (* (+ a 1) (- 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 1326 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (201 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ (pow a 3) 1) (- 27 (pow a 3))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (+ a 3) a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (pow a 4))) (+ (* (+ a 3) a) 9)) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (- 1 (* a a)) (- 27 (pow a 3))) (* a a))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ (* (+ a 3) a) 9))) (+ (* (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* 2 (* (* a a) (* b b)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ (pow a 3) 1) (- 27 (pow a 3))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (+ a 3) a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (pow a 4))) (+ (* (+ a 3) a) 9)) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (- 1 (* a a)) (- 27 (pow a 3))) (* a a))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ (* (+ a 3) a) 9))) (+ (* (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* 2 (* (* a a) (* b b)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1327 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 9 (* a a)) (+ (pow a 3) 1))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- 81 (pow a 4)) (* (* (* b b) (+ (pow a 3) 1)) (+ (* a (+ a 3)) 9))) (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (* a a)) (+ (- 1 a) (* a a)))) (+ 9 (* a a))))) (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 9 (* a a)) (+ (pow a 3) 1))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- 81 (pow a 4)) (* (* (* b b) (+ (pow a 3) 1)) (+ (* a (+ a 3)) 9))) (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (* a a)) (+ (- 1 a) (* a a)))) (+ 9 (* a a))))) (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1328 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (208 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (- 27 (pow a 3)) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- 81 (pow a 4)) (* (* (* b b) (+ (pow a 3) 1)) (+ (* a (+ a 3)) 9))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3)))))) (* (* 4 (* (+ -1 a) (+ 9 (* a (+ a 3))))) (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (- 27 (pow a 3)) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- 81 (pow a 4)) (* (* (* b b) (+ (pow a 3) 1)) (+ (* a (+ a 3)) 9))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3)))))) (* (* 4 (* (+ -1 a) (+ 9 (* a (+ a 3))))) (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1329 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 9 (* a a)) (- (* a a) 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (* b b) (+ (pow a 3) 1)) (+ (* a (+ a 3)) 9)) (- 81 (pow a 4))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* a a) (* (- 27 (pow a 3)) (- 1 (* a a))))))) (* (* 4 (* (+ a 3) (+ a -1))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 9 (* a a)) (- (* a a) 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (* b b) (+ (pow a 3) 1)) (+ (* a (+ a 3)) 9)) (- 81 (pow a 4))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* a a) (* (- 27 (pow a 3)) (- 1 (* a a))))))) (* (* 4 (* (+ a 3) (+ a -1))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1330 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (+ a 1) (- 27 (pow a 3))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (+ a 3) a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (pow a 4))) (+ (* (+ a 3) a) 9)) (* (- 27 (pow a 3)) (* (* (* a a) (- 1 (* a a))) (* (+ 9 (* a a)) (+ (- 1 a) (* a a))))))) (* (* 4 (+ (* (+ a 3) a) 9)) (+ (* (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* 2 (* (* a a) (* b b)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (+ a 1) (- 27 (pow a 3))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (+ a 3) a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (pow a 4))) (+ (* (+ a 3) a) 9)) (* (- 27 (pow a 3)) (* (* (* a a) (- 1 (* a a))) (* (+ 9 (* a a)) (+ (- 1 a) (* a a))))))) (* (* 4 (+ (* (+ a 3) a) 9)) (+ (* (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* 2 (* (* a a) (* b b)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1331 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (205 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* a (+ a 3)) 9)) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (- 9 (* a a)) (+ a 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (pow a 4))) (+ (* a (+ a 3)) 9)) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3)))))) (* (* 4 (+ a 3)) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* a (+ a 3)) 9)) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (- 9 (* a a)) (+ a 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (pow a 4))) (+ (* a (+ a 3)) 9)) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3)))))) (* (* 4 (+ a 3)) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1332 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (201 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (+ a 3) a) 9)) (* (- 3 a) (+ (pow a 3) 1))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (pow a 4))) (+ (* (+ a 3) a) 9)) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (- 1 (* a a)) (* (* a a) (- 27 (pow a 3))))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* 2 (* (* a a) (* b b)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (+ a 3) a) 9)) (* (- 3 a) (+ (pow a 3) 1))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (pow a 4))) (+ (* (+ a 3) a) 9)) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (- 1 (* a a)) (* (* a a) (- 27 (pow a 3))))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* 2 (* (* a a) (* b b)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1333 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (201 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ (pow a 3) 1) b) (* b (- 81 (pow a 4)))) (+ (* a (+ a 3)) 9)) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (- 1 (* a a)) (- 27 (pow a 3))) (* a a))))) (* (* 4 (+ a -1)) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* a (+ a 3)) 9)) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (- 3 a) (+ (* a a) -1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ (pow a 3) 1) b) (* b (- 81 (pow a 4)))) (+ (* a (+ a 3)) 9)) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (- 1 (* a a)) (- 27 (pow a 3))) (* a a))))) (* (* 4 (+ a -1)) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* a (+ a 3)) 9)) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (- 3 a) (+ (* a a) -1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1334 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * [exit]simplify: Simplified to (* (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) (* (* (+ (pow a 3) 1) (- 27 (pow a 3))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (+ a 3) a) 9)))) (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ (* (+ a 3) a) 9))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (pow a 4))) (+ (* (+ a 3) a) 9)) (* (* (* (- 1 (* a a)) (+ (- 1 a) (* a a))) (+ 9 (* a a))) (* (* a a) (- 27 (pow a 3))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) (* (* (+ (pow a 3) 1) (- 27 (pow a 3))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (+ a 3) a) 9)))) (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ (* (+ a 3) a) 9))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (pow a 4))) (+ (* (+ a 3) a) 9)) (* (* (* (- 1 (* a a)) (+ (- 1 a) (* a a))) (+ 9 (* a a))) (* (* a a) (- 27 (pow a 3))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1335 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (+ (* (* (+ (pow a 3) 1) (* (* b b) (- 81 (pow a 4)))) (+ (* a (+ a 3)) 9)) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (* a a) (- 1 (* a a))) (- 27 (pow a 3))))) (* (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (+ (* (* (+ (pow a 3) 1) (* (* b b) (- 81 (pow a 4)))) (+ (* a (+ a 3)) 9)) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (* a a) (- 1 (* a a))) (- 27 (pow a 3))))) (* (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1336 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (201 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)) (* (- (* a a) 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (+ (* (- 81 (pow a 4)) (* (* (* b b) (+ (pow a 3) 1)) (+ (* a (+ a 3)) 9))) (* (- 27 (pow a 3)) (* (* (* a a) (- 1 (* a a))) (* (+ 9 (* a a)) (+ (- 1 a) (* a a)))))) (* (* 4 (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (* a (+ a 3)) 9) (- a 1))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)) (* (- (* a a) 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (+ (* (- 81 (pow a 4)) (* (* (* b b) (+ (pow a 3) 1)) (+ (* a (+ a 3)) 9))) (* (- 27 (pow a 3)) (* (* (* a a) (- 1 (* a a))) (* (+ 9 (* a a)) (+ (- 1 a) (* a a)))))) (* (* 4 (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (* a (+ a 3)) 9) (- a 1))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1337 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (205 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (pow a 3) 1) (* (* b b) (- 81 (pow a 4)))) (+ (* a (+ a 3)) 9)) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (* a a) (- 1 (* a a))) (- 27 (pow a 3))))) (* (* (* 4 (* (- a 1) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)) (* (+ (* a a) -1) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (pow a 3) 1) (* (* b b) (- 81 (pow a 4)))) (+ (* a (+ a 3)) 9)) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (* a a) (- 1 (* a a))) (- 27 (pow a 3))))) (* (* (* 4 (* (- a 1) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)) (* (+ (* a a) -1) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1338 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (pow a 4))) (+ (* (+ a 3) a) 9)) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (* a a) (- 1 (* a a))) (- 27 (pow a 3))))) (* (* (* 4 (+ (* (+ a 3) a) 9)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (- 27 (pow a 3)) (+ a 1))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (+ a 3) a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (pow a 4))) (+ (* (+ a 3) a) 9)) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (* a a) (- 1 (* a a))) (- 27 (pow a 3))))) (* (* (* 4 (+ (* (+ a 3) a) 9)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (- 27 (pow a 3)) (+ a 1))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (+ a 3) a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1339 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 81 (pow a 4)) (* (* (* b b) (+ (pow a 3) 1)) (+ (* a (+ a 3)) 9))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (- 1 (* a a)) (* (* a a) (- 27 (pow a 3)))))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a))) (* (- 9 (* a a)) (+ a 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 81 (pow a 4)) (* (* (* b b) (+ (pow a 3) 1)) (+ (* a (+ a 3)) 9))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (- 1 (* a a)) (* (* a a) (- 27 (pow a 3)))))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a))) (* (- 9 (* a a)) (+ a 1))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1340 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (pow a 4))) (+ (* (+ a 3) a) 9)) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* a a) (* (- 27 (pow a 3)) (- 1 (* a a)))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (+ a 3) a) 9))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (- 3 a) (+ (pow a 3) 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (pow a 4))) (+ (* (+ a 3) a) 9)) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* a a) (* (- 27 (pow a 3)) (- 1 (* a a)))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (+ a 3) a) 9))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (- 3 a) (+ (pow a 3) 1))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1341 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (pow a 4))) (+ (* a (+ a 3)) 9)) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (- 1 (* a a)) (* (* a a) (- 27 (pow a 3)))))) (* (* (* 4 (+ a -1)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)) (* (- 3 a) (- (* a a) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (pow a 4))) (+ (* a (+ a 3)) 9)) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (- 1 (* a a)) (* (* a a) (- 27 (pow a 3)))))) (* (* (* 4 (+ a -1)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)) (* (- 3 a) (- (* a a) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1342 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 81 (pow a 4)) (* (* (* b b) (+ (pow a 3) 1)) (+ (* a (+ a 3)) 9))) (* (* (+ (- 1 a) (* a a)) (+ 9 (* a a))) (* (- 1 (* a a)) (* (* a a) (- 27 (pow a 3)))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (* (+ (- 1 a) (* a a)) (+ 9 (* a a))) (+ (* a (+ a 3)) 9)) (* (+ (pow a 3) 1) (- 27 (pow a 3)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 81 (pow a 4)) (* (* (* b b) (+ (pow a 3) 1)) (+ (* a (+ a 3)) 9))) (* (* (+ (- 1 a) (* a a)) (+ 9 (* a a))) (* (- 1 (* a a)) (* (* a a) (- 27 (pow a 3)))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (* (+ (- 1 a) (* a a)) (+ 9 (* a a))) (+ (* a (+ a 3)) 9)) (* (+ (pow a 3) 1) (- 27 (pow a 3)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1343 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (+ (pow a 3) 1) (- 9 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* a (+ a 3)) 9))) (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (pow a 4))) (+ (* a (+ a 3)) 9)) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (- 1 (* a a)) (- 27 (pow a 3))) (* a a)))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (+ (pow a 3) 1) (- 9 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* a (+ a 3)) 9))) (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (pow a 4))) (+ (* a (+ a 3)) 9)) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (- 1 (* a a)) (- 27 (pow a 3))) (* a a)))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1344 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* b b) (+ (pow a 3) 1)) (* (- 81 (pow a 4)) (+ (* (+ a 3) a) 9))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a))))) (* (* (* 4 (- a 1)) (+ (* (+ a 3) a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (- 27 (pow a 3)) (- (* a a) 1))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))) (+ (* (+ a 3) a) 9)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* b b) (+ (pow a 3) 1)) (* (- 81 (pow a 4)) (+ (* (+ a 3) a) 9))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a))))) (* (* (* 4 (- a 1)) (+ (* (+ a 3) a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (- 27 (pow a 3)) (- (* a a) 1))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))) (+ (* (+ a 3) a) 9)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1345 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ 3 a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (+ (* a (+ a 3)) 9)) (- 81 (pow a 4))) (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (* a a)) (+ 9 (* a a))) (+ (- 1 a) (* a a))))) (* (* (* 4 (+ -1 a)) (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (- (* a a) 1) (- 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (+ (* a (+ a 3)) 9)) (- 81 (pow a 4))) (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (* a a)) (+ 9 (* a a))) (+ (- 1 a) (* a a))))) (* (* (* 4 (+ -1 a)) (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (- (* a a) 1) (- 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1346 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (pow a 4))) (+ (* a (+ a 3)) 9)) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* a a) (- 27 (pow a 3)))) (- 1 (* a a)))) (* (+ 36 (* (* a (+ a 3)) 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)) (* (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)) (* (- 27 (pow a 3)) (+ a 1))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (pow a 4))) (+ (* a (+ a 3)) 9)) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* a a) (- 27 (pow a 3)))) (- 1 (* a a)))) (* (+ 36 (* (* a (+ a 3)) 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)) (* (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)) (* (- 27 (pow a 3)) (+ a 1))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1347 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ 3 a)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (* (+ a 1) (- 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* b b) (+ (pow a 3) 1)) (* (- 81 (pow a 4)) (+ (* a (+ a 3)) 9))) (* (+ 9 (* a a)) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (* a a)) (+ (- 1 a) (* a a)))))) (* (+ 12 (* a 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (* (+ a 1) (- 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* b b) (+ (pow a 3) 1)) (* (- 81 (pow a 4)) (+ (* a (+ a 3)) 9))) (* (+ 9 (* a a)) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (* a a)) (+ (- 1 a) (* a a)))))) (* (+ 12 (* a 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 1348 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (pow a 4))) (+ (* a (+ a 3)) 9)) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (- 27 (pow a 3)) (* (* a a) (- 1 (* a a)))))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (pow a 3) 1) (- 3 a)) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (pow a 4))) (+ (* a (+ a 3)) 9)) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (- 27 (pow a 3)) (* (* a a) (- 1 (* a a)))))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (pow a 3) 1) (- 3 a)) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 1349 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (pow a 4))) (+ (* a (+ a 3)) 9)) (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (* a a)) (+ (- 1 a) (* a a))) (+ 9 (* a a))))) (* (* (+ -1 a) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (* (- (* a a) 1) (- 3 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* b b) (+ (pow a 3) 1)) (- 81 (pow a 4))) (+ (* a (+ a 3)) 9)) (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (* a a)) (+ (- 1 a) (* a a))) (+ 9 (* a a))))) (* (* (+ -1 a) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (* (- (* a a) 1) (- 3 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (- a 1))))) 1)) * * * * [misc]progress: [ 1350 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ a 1) (- 3 a)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (+ a 3) a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))) (* (* b (* b 2)) (* a a))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* 4 (+ (* (* (* (- 81 (pow a 4)) (+ (pow a 3) 1)) (* b b)) (+ (* (+ a 3) a) 9)) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (- 1 (* a a)) (- 27 (pow a 3))) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ a 1) (- 3 a)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (+ a 3) a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))) (* (* b (* b 2)) (* a a))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* 4 (+ (* (* (* (- 81 (pow a 4)) (+ (pow a 3) 1)) (* b b)) (+ (* (+ a 3) a) 9)) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (* (- 1 (* a a)) (- 27 (pow a 3))) (* a a))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 1351 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a))))) (* (+ a 1) (- 3 a))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (+ a 3) a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* b b) (+ (pow a 3) 1)) (* (- 81 (pow a 4)) (+ (* (+ a 3) a) 9))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (- 27 (pow a 3)) (* (* a a) (- 1 (* a a)))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a))))) (* (+ a 1) (- 3 a))) (* (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (+ (* (+ a 3) a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* b b) (+ (pow a 3) 1)) (* (- 81 (pow a 4)) (+ (* (+ a 3) a) 9))) (* (* (+ 9 (* a a)) (+ (- 1 a) (* a a))) (* (- 27 (pow a 3)) (* (* a a) (- 1 (* a a)))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 1352 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (223 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 9 (* (+ a 3) a)) (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* 81 (+ -1 a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (+ (pow a 3) 1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* 81 (+ -1 a))) (* (* (* a a) (- 1 (* a a))) (- 27 (pow a 3)))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (- (* a a) 1) (* b b))) (+ 9 (* (+ a 3) a))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* (+ a 3) a)))) (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 9 (* (+ a 3) a)) (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* 81 (+ -1 a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (+ (pow a 3) 1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* 81 (+ -1 a))) (* (* (* a a) (- 1 (* a a))) (- 27 (pow a 3)))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (- (* a a) 1) (* b b))) (+ 9 (* (+ a 3) a))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* (+ a 3) a)))) (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1353 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (228 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ 9 (* a (+ a 3)))) (* (* (+ (* (+ -1 a) 81) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (* (+ -1 a) 81) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))) (* (- 1 (* a a)) (* (* a a) (- 27 (pow a 3))))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (+ (* a a) -1) (* b b))) (+ 9 (* a (+ a 3)))))) (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ 9 (* a (+ a 3)))) (* (* (+ (* (+ -1 a) 81) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (* (+ -1 a) 81) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))) (* (- 1 (* a a)) (* (* a a) (- 27 (pow a 3))))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (+ (* a a) -1) (* b b))) (+ 9 (* a (+ a 3)))))) (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1354 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ 9 (* a (+ a 3)))) (* (* (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* (+ -1 a) 81)) (* (- (* a a) 1) (- 27 (pow a 3)))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* (+ -1 a) 81)) (* (* a a) (* (- 27 (pow a 3)) (- 1 (* a a))))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (- (* a a) 1) (* b b)) (+ 9 (* a (+ a 3))))))) (* (* 4 (* (+ -1 a) (+ 9 (* a (+ a 3))))) (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ 9 (* a (+ a 3)))) (* (* (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* (+ -1 a) 81)) (* (- (* a a) 1) (- 27 (pow a 3)))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* (+ -1 a) 81)) (* (* a a) (* (- 27 (pow a 3)) (- 1 (* a a))))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (- (* a a) 1) (* b b)) (+ 9 (* a (+ a 3))))))) (* (* 4 (* (+ -1 a) (+ 9 (* a (+ a 3))))) (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1355 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (216 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (* 81 (+ a -1)) (* (* (+ a -1) (* a a)) (+ (* a a) 9))) (* (- 1 (* a a)) (* (* a a) (- 27 (pow a 3))))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (- (* a a) 1) (* b b))) (+ 9 (* a (+ a 3)))))) (* (* 4 (* (+ a 3) (+ a -1))) (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (- (* a a) 1) (- 9 (* a a)))) (* (* (+ 9 (* a (+ a 3))) (+ (* 81 (+ a -1)) (* (* (+ a -1) (* a a)) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (* 81 (+ a -1)) (* (* (+ a -1) (* a a)) (+ (* a a) 9))) (* (- 1 (* a a)) (* (* a a) (- 27 (pow a 3))))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (- (* a a) 1) (* b b))) (+ 9 (* a (+ a 3)))))) (* (* 4 (* (+ a 3) (+ a -1))) (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (- (* a a) 1) (- 9 (* a a)))) (* (* (+ 9 (* a (+ a 3))) (+ (* 81 (+ a -1)) (* (* (+ a -1) (* a a)) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1356 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 9 (* a (+ a 3))) (+ (* 81 (+ a -1)) (* (* (+ a -1) (* a a)) (+ (* a a) 9))))) (* (* (- 27 (pow a 3)) (+ a 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* 81 (+ a -1)) (* (* (+ a -1) (* a a)) (+ (* a a) 9))) (* (* a a) (* (- 27 (pow a 3)) (- 1 (* a a))))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (- (* a a) 1) (* b b))) (+ 9 (* a (+ a 3)))))) (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 9 (* a (+ a 3))) (+ (* 81 (+ a -1)) (* (* (+ a -1) (* a a)) (+ (* a a) 9))))) (* (* (- 27 (pow a 3)) (+ a 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* 81 (+ a -1)) (* (* (+ a -1) (* a a)) (+ (* a a) 9))) (* (* a a) (* (- 27 (pow a 3)) (- 1 (* a a))))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (- (* a a) 1) (* b b))) (+ 9 (* a (+ a 3)))))) (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1357 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (* (+ a -1) (* a a)) (+ (* a a) 9)) (* (+ a -1) 81)) (* (- 1 (* a a)) (* (* a a) (- 27 (pow a 3))))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (- (* a a) 1) (* b b))) (+ 9 (* a (+ a 3)))))) (* (* 4 (+ a 3)) (+ (* (* (* (* b 2) (* b a)) a) (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (- 9 (* a a)) (+ a 1)) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (+ 9 (* a (+ a 3))) (+ (* (* (+ a -1) (* a a)) (+ (* a a) 9)) (* (+ a -1) 81))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (* (+ a -1) (* a a)) (+ (* a a) 9)) (* (+ a -1) 81)) (* (- 1 (* a a)) (* (* a a) (- 27 (pow a 3))))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (- (* a a) 1) (* b b))) (+ 9 (* a (+ a 3)))))) (* (* 4 (+ a 3)) (+ (* (* (* (* b 2) (* b a)) a) (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (- 9 (* a a)) (+ a 1)) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (+ 9 (* a (+ a 3))) (+ (* (* (+ a -1) (* a a)) (+ (* a a) 9)) (* (+ a -1) 81))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1358 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ 1 (pow a 3)) (- 3 a))) (* (* (+ 9 (* (+ a 3) a)) (+ (* (* (+ a -1) (* a a)) (+ (* a a) 9)) (* 81 (+ a -1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (* (* (+ a -1) (* a a)) (+ (* a a) 9)) (* 81 (+ a -1))) (* (- 1 (* a a)) (* (* a a) (- 27 (pow a 3))))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (- (* a a) 1) (* b b))) (+ 9 (* (+ a 3) a))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ 1 (pow a 3)) (- 3 a))) (* (* (+ 9 (* (+ a 3) a)) (+ (* (* (+ a -1) (* a a)) (+ (* a a) 9)) (* 81 (+ a -1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (* (* (+ a -1) (* a a)) (+ (* a a) 9)) (* 81 (+ a -1))) (* (- 1 (* a a)) (* (* a a) (- 27 (pow a 3))))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (- (* a a) 1) (* b b))) (+ 9 (* (+ a 3) a))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1359 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 9 (* a (+ a 3))) (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ (* a a) 9))))) (* (* (- 3 a) (- (* a a) 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ (* a a) 9))) (* (- 1 (* a a)) (* (* a a) (- 27 (pow a 3))))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (- (* a a) 1) (* b b))) (+ 9 (* a (+ a 3)))))) (* (* 4 (- a 1)) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 9 (* a (+ a 3))) (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ (* a a) 9))))) (* (* (- 3 a) (- (* a a) 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ (* a a) 9))) (* (- 1 (* a a)) (* (* a a) (- 27 (pow a 3))))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (- (* a a) 1) (* b b))) (+ 9 (* a (+ a 3)))))) (* (* 4 (- a 1)) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1360 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (- 27 (pow a 3)) (+ 1 (pow a 3))))) (* (+ 9 (* (+ a 3) a)) (+ (* (* (+ a -1) (* a a)) (+ (* a a) 9)) (* 81 (+ a -1))))) (* (* (* (* (+ 9 (* (+ a 3) a)) (+ (- 1 a) (* a a))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) 4) (+ (* (+ (* (* (+ a -1) (* a a)) (+ (* a a) 9)) (* 81 (+ a -1))) (* (* (- 1 (* a a)) (- 27 (pow a 3))) (* a a))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (- (* a a) 1) (* b b))) (+ 9 (* (+ a 3) a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (- 27 (pow a 3)) (+ 1 (pow a 3))))) (* (+ 9 (* (+ a 3) a)) (+ (* (* (+ a -1) (* a a)) (+ (* a a) 9)) (* 81 (+ a -1))))) (* (* (* (* (+ 9 (* (+ a 3) a)) (+ (- 1 a) (* a a))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) 4) (+ (* (+ (* (* (+ a -1) (* a a)) (+ (* a a) 9)) (* 81 (+ a -1))) (* (* (- 1 (* a a)) (- 27 (pow a 3))) (* a a))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (- (* a a) 1) (* b b))) (+ 9 (* (+ a 3) a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1361 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (220 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* (* (- a 1) (* a a)) (+ (* a a) 9)) (* 81 (- a 1))) (* (* (- 1 (* a a)) (- 27 (pow a 3))) (* a a))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (- (* a a) 1) (* b b))) (+ 9 (* a (+ a 3))))) (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) (* b a)) a) 3)))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a))) (* (- 9 (* a a)) (+ (pow a 3) 1))) (* (* (+ 9 (* a (+ a 3))) (+ (* (* (- a 1) (* a a)) (+ (* a a) 9)) (* 81 (- a 1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) (* b a)) a) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* (* (- a 1) (* a a)) (+ (* a a) 9)) (* 81 (- a 1))) (* (* (- 1 (* a a)) (- 27 (pow a 3))) (* a a))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (- (* a a) 1) (* b b))) (+ 9 (* a (+ a 3))))) (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) (* b a)) a) 3)))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a))) (* (- 9 (* a a)) (+ (pow a 3) 1))) (* (* (+ 9 (* a (+ a 3))) (+ (* (* (- a 1) (* a a)) (+ (* a a) 9)) (* 81 (- a 1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) (* b a)) a) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1362 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (* (+ (* (+ 9 (* a (+ a 3))) (* (* (+ (* (+ a -1) 81) (* (* (+ a -1) (* a a)) (+ (* a a) 9))) (* (- (* a a) 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))))) (* (+ (* (+ (* (+ a -1) 81) (* (* (+ a -1) (* a a)) (+ (* a a) 9))) (* (* (* a a) (- 1 (* a a))) (- 27 (pow a 3)))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (- (* a a) 1) (* b b))) (+ 9 (* a (+ a 3))))) (* (* 4 (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ a -1) (+ 9 (* a (+ a 3))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ 9 (* a (+ a 3))) (* (* (+ (* (+ a -1) 81) (* (* (+ a -1) (* a a)) (+ (* a a) 9))) (* (- (* a a) 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))))) (* (+ (* (+ (* (+ a -1) 81) (* (* (+ a -1) (* a a)) (+ (* a a) 9))) (* (* (* a a) (- 1 (* a a))) (- 27 (pow a 3)))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (- (* a a) 1) (* b b))) (+ 9 (* a (+ a 3))))) (* (* 4 (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ a -1) (+ 9 (* a (+ a 3))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1363 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (208 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ (* a a) 9))) (* (- 1 (* a a)) (* (* a a) (- 27 (pow a 3))))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (- (* a a) 1) (* b b))) (+ 9 (* a (+ a 3))))) (* (* (* 4 (* (- a 1) (+ a 3))) (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 9 (* a (+ a 3))) (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ (* a a) 9))))) (* (* (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (- (* a a) 1) (- 9 (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ (* a a) 9))) (* (- 1 (* a a)) (* (* a a) (- 27 (pow a 3))))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (- (* a a) 1) (* b b))) (+ 9 (* a (+ a 3))))) (* (* (* 4 (* (- a 1) (+ a 3))) (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 9 (* a (+ a 3))) (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ (* a a) 9))))) (* (* (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (- (* a a) 1) (- 9 (* a a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1364 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (201 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 9 (* a (+ a 3))) (+ (* 81 (+ a -1)) (* (* (+ a -1) (* a a)) (+ (* a a) 9)))) (* (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (* (* (+ a 1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (+ (* 81 (+ a -1)) (* (* (+ a -1) (* a a)) (+ (* a a) 9))) (* (* a a) (* (- 27 (pow a 3)) (- 1 (* a a))))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (+ (* a a) -1) (* b b))) (+ 9 (* a (+ a 3))))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 9 (* a (+ a 3))) (+ (* 81 (+ a -1)) (* (* (+ a -1) (* a a)) (+ (* a a) 9)))) (* (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (* (* (+ a 1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (+ (* 81 (+ a -1)) (* (* (+ a -1) (* a a)) (+ (* a a) 9))) (* (* a a) (* (- 27 (pow a 3)) (- 1 (* a a))))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (+ (* a a) -1) (* b b))) (+ 9 (* a (+ a 3))))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1365 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ (* a a) 9))) (* (* a a) (* (- 27 (pow a 3)) (- 1 (* a a))))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (- (* a a) 1) (* b b))) (+ 9 (* a (+ a 3))))) (* (* (* 4 (+ a 3)) (- (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 9 (* a (+ a 3))) (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ (* a a) 9))))) (* (* (+ a 1) (- 9 (* a a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ (* a a) 9))) (* (* a a) (* (- 27 (pow a 3)) (- 1 (* a a))))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (- (* a a) 1) (* b b))) (+ 9 (* a (+ a 3))))) (* (* (* 4 (+ a 3)) (- (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 9 (* a (+ a 3))) (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ (* a a) 9))))) (* (* (+ a 1) (- 9 (* a a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1366 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (213 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ 9 (* (+ a 3) a))) (* (* (+ (* (+ -1 a) 81) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))) (* (- 3 a) (+ (pow a 3) 1))) (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))))) (* (+ (* (+ (* (+ -1 a) 81) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))) (* (* (- 1 (* a a)) (- 27 (pow a 3))) (* a a))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (- (* a a) 1) (* b b))) (+ 9 (* (+ a 3) a)))) (* (* (* 4 (+ (- 1 a) (* a a))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ 9 (* (+ a 3) a))) (* (* (+ (* (+ -1 a) 81) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))) (* (- 3 a) (+ (pow a 3) 1))) (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))))) (* (+ (* (+ (* (+ -1 a) 81) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))) (* (* (- 1 (* a a)) (- 27 (pow a 3))) (* a a))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (- (* a a) 1) (* b b))) (+ 9 (* (+ a 3) a)))) (* (* (* 4 (+ (- 1 a) (* a a))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1367 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* (* (+ a -1) (* a a)) (+ (* a a) 9)) (* 81 (+ a -1))) (* (* (- 1 (* a a)) (- 27 (pow a 3))) (* a a))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (+ (* a a) -1) (* b b))) (+ 9 (* a (+ a 3))))) (* (* (* 4 (+ a -1)) (- (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ 9 (* a (+ a 3)))) (* (* (+ (* (* (+ a -1) (* a a)) (+ (* a a) 9)) (* 81 (+ a -1))) (* (- 3 a) (+ (* a a) -1))) (* (+ (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* (* (+ a -1) (* a a)) (+ (* a a) 9)) (* 81 (+ a -1))) (* (* (- 1 (* a a)) (- 27 (pow a 3))) (* a a))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (+ (* a a) -1) (* b b))) (+ 9 (* a (+ a 3))))) (* (* (* 4 (+ a -1)) (- (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ 9 (* a (+ a 3)))) (* (* (+ (* (* (+ a -1) (* a a)) (+ (* a a) 9)) (* 81 (+ a -1))) (* (- 3 a) (+ (* a a) -1))) (* (+ (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1368 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* 81 (+ a -1)) (* (* (+ a -1) (* a a)) (+ (* a a) 9))) (* (- 1 (* a a)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (- (* a a) 1) (* b b)) (+ 9 (* a (+ a 3)))) (- 729 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ 9 (* a (+ a 3))) (+ a -1)) (* (+ (* 9 (* a a)) (+ (pow a 4) 81)) (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* 81 (+ a -1)) (* (* (+ a -1) (* a a)) (+ (* a a) 9))) (* (- 1 (* a a)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (- (* a a) 1) (* b b)) (+ 9 (* a (+ a 3)))) (- 729 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ 9 (* a (+ a 3))) (+ a -1)) (* (+ (* 9 (* a a)) (+ (pow a 4) 81)) (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1369 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 9 (* a (+ a 3))) (- a 1)) (* (+ (* 9 (* a a)) (+ (pow a 4) 81)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (+ (pow a 3) 1) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ (* a a) 9))) (* (* (- 1 (* a a)) (- 27 (pow a 3))) (* a a))) (* (* (* (+ (* a a) -1) (* b b)) (+ 9 (* a (+ a 3)))) (- 729 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 9 (* a (+ a 3))) (- a 1)) (* (+ (* 9 (* a a)) (+ (pow a 4) 81)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (+ (pow a 3) 1) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ (* a a) 9))) (* (* (- 1 (* a a)) (- 27 (pow a 3))) (* a a))) (* (* (* (+ (* a a) -1) (* b b)) (+ 9 (* a (+ a 3)))) (- 729 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1370 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (181 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)) (* (+ 9 (* (+ a 3) a)) (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ (* a a) 9))))) (* (* (- (* a a) 1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ (* a a) 9))) (* (* (- 1 (* a a)) (- 27 (pow a 3))) (* a a))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (- (* a a) 1) (* b b))) (+ 9 (* (+ a 3) a)))) (* (* (* 4 (- a 1)) (+ 9 (* (+ a 3) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a)) (* (+ 9 (* (+ a 3) a)) (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ (* a a) 9))))) (* (* (- (* a a) 1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ (* a a) 9))) (* (* (- 1 (* a a)) (- 27 (pow a 3))) (* a a))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (- (* a a) 1) (* b b))) (+ 9 (* (+ a 3) a)))) (* (* (* 4 (- a 1)) (+ 9 (* (+ a 3) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1371 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ 3 a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (187 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* (+ -1 a) 81)) (* (* (- 1 (* a a)) (- 27 (pow a 3))) (* a a))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (- (* a a) 1) (* b b))) (+ 9 (* a (+ a 3))))) (* (* (* 4 (+ -1 a)) (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* (- (* a a) 1) (- 9 (* a a)))) (* (* (+ 9 (* a (+ a 3))) (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* (+ -1 a) 81))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* (+ -1 a) 81)) (* (* (- 1 (* a a)) (- 27 (pow a 3))) (* a a))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (- (* a a) 1) (* b b))) (+ 9 (* a (+ a 3))))) (* (* (* 4 (+ -1 a)) (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* (- (* a a) 1) (- 9 (* a a)))) (* (* (+ 9 (* a (+ a 3))) (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* (+ -1 a) 81))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1372 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 9 (* (+ a 3) a)) (- a 1)) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (* (* (+ a 1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ (* a a) 9))) (* (- 27 (pow a 3)) (* (* a a) (- 1 (* a a))))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (- (* a a) 1) (* b b))) (+ 9 (* (+ a 3) a)))) (* (* (+ 9 (* (+ a 3) a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 9 (* (+ a 3) a)) (- a 1)) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (* (* (+ a 1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ (* a a) 9))) (* (- 27 (pow a 3)) (* (* a a) (- 1 (* a a))))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (- (* a a) 1) (* b b))) (+ 9 (* (+ a 3) a)))) (* (* (+ 9 (* (+ a 3) a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1373 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ 3 a)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ (* a a) 9))) (* (* (- 1 (* a a)) (- 27 (pow a 3))) (* a a))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (- (* a a) 1) (* b b))) (+ 9 (* a (+ a 3))))) (* (* (+ a 3) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3)))) (* (* (* (+ 9 (* a (+ a 3))) (- a 1)) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (* (* (- 9 (* a a)) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ (* a a) 9))) (* (* (- 1 (* a a)) (- 27 (pow a 3))) (* a a))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (- (* a a) 1) (* b b))) (+ 9 (* a (+ a 3))))) (* (* (+ a 3) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3)))) (* (* (* (+ 9 (* a (+ a 3))) (- a 1)) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (* (* (- 9 (* a a)) (+ a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 1374 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* 81 (+ -1 a)) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))) (* (* (- 1 (* a a)) (- 27 (pow a 3))) (* a a))) (* (* (* (- (* a a) 1) (* b b)) (+ 9 (* a (+ a 3)))) (- 729 (* (pow a 3) (pow a 3))))) (* (* (+ (- 1 a) (* a a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ 9 (* a (+ a 3))) (+ -1 a)) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)))) (* (* (- 3 a) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* 81 (+ -1 a)) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))) (* (* (- 1 (* a a)) (- 27 (pow a 3))) (* a a))) (* (* (* (- (* a a) 1) (* b b)) (+ 9 (* a (+ a 3)))) (- 729 (* (pow a 3) (pow a 3))))) (* (* (+ (- 1 a) (* a a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ 9 (* a (+ a 3))) (+ -1 a)) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)))) (* (* (- 3 a) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 1375 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 9 (* a (+ a 3))) (+ -1 a)) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a)))))) (* (* (- (* a a) 1) (- 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (+ (* (+ -1 a) 81) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))) (* (- 27 (pow a 3)) (* (* a a) (- 1 (* a a))))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (- (* a a) 1) (* b b))) (+ 9 (* a (+ a 3))))) (* (* 4 (+ -1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 9 (* a (+ a 3))) (+ -1 a)) (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a)))))) (* (* (- (* a a) 1) (- 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (+ (* (+ -1 a) 81) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))) (* (- 27 (pow a 3)) (* (* a a) (- 1 (* a a))))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (- (* a a) 1) (* b b))) (+ 9 (* a (+ a 3))))) (* (* 4 (+ -1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (- a 1))))) 1)) * * * * [misc]progress: [ 1376 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (208 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ 9 (* a (+ a 3))) (+ (* (* (+ a -1) (* a a)) (+ (* a a) 9)) (* (+ a -1) 81)))) (* (* (+ a 1) (- 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* 4 (+ (* (+ (* (* (+ a -1) (* a a)) (+ (* a a) 9)) (* (+ a -1) 81)) (* (* (* a a) (- 1 (* a a))) (- 27 (pow a 3)))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (- (* a a) 1) (* b b))) (+ 9 (* a (+ a 3)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ 9 (* a (+ a 3))) (+ (* (* (+ a -1) (* a a)) (+ (* a a) 9)) (* (+ a -1) 81)))) (* (* (+ a 1) (- 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* 4 (+ (* (+ (* (* (+ a -1) (* a a)) (+ (* a a) 9)) (* (+ a -1) 81)) (* (* (* a a) (- 1 (* a a))) (- 27 (pow a 3)))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (- (* a a) 1) (* b b))) (+ 9 (* a (+ a 3)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 1377 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* 81 (+ -1 a)) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))) (* (- 1 (* a a)) (* (* a a) (- 27 (pow a 3))))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (- (* a a) 1) (* b b))) (+ 9 (* a (+ a 3))))) (* (* 4 (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (- 3 a) (+ a 1)))) (* (* (+ 9 (* a (+ a 3))) (+ (* 81 (+ -1 a)) (* (* (+ -1 a) (* a a)) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* 81 (+ -1 a)) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))) (* (- 1 (* a a)) (* (* a a) (- 27 (pow a 3))))) (* (* (- 729 (* (pow a 3) (pow a 3))) (* (- (* a a) 1) (* b b))) (+ 9 (* a (+ a 3))))) (* (* 4 (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (- 3 a) (+ a 1)))) (* (* (+ 9 (* a (+ a 3))) (+ (* 81 (+ -1 a)) (* (* (+ -1 a) (* a a)) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 1378 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ (* a a) 9) (+ a -1)) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a)))) (* (* (+ (* a (+ a 3)) 9) (* (+ (* a a) -1) (* b b))) (- 81 (pow a 4))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ (* a (+ a 3)) 9))) (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* a (+ a 3)) 9)) (* (* (* (+ (* a a) 9) (+ a -1)) (* (- 27 (pow a 3)) (+ (pow a 3) 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ (* a a) 9) (+ a -1)) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a)))) (* (* (+ (* a (+ a 3)) 9) (* (+ (* a a) -1) (* b b))) (- 81 (pow a 4))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ (* a (+ a 3)) 9))) (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* a (+ a 3)) 9)) (* (* (* (+ (* a a) 9) (+ a -1)) (* (- 27 (pow a 3)) (+ (pow a 3) 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1379 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (* (* (* (+ (* a a) 9) (+ a -1)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ (* a a) 9) (+ a -1)) (* (* a a) (- 27 (pow a 3)))) (- 1 (* a a))) (* (- (* a a) 1) (* (* (- 81 (pow a 4)) (* b b)) (+ (* a (+ a 3)) 9))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (* (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (* (* (* (+ (* a a) 9) (+ a -1)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ (* a a) 9) (+ a -1)) (* (* a a) (- 27 (pow a 3)))) (- 1 (* a a))) (* (- (* a a) 1) (* (* (- 81 (pow a 4)) (* b b)) (+ (* a (+ a 3)) 9))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (* (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1380 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ a -1) (+ 9 (* a a))) (+ (* a (+ a 3)) 9)) (* (+ (* a a) -1) (- 27 (pow a 3)))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ a -1) (+ 9 (* a a))) (* (* a a) (- 27 (pow a 3)))) (- 1 (* a a))) (* (* (+ (* a a) -1) (* b b)) (* (- 81 (pow a 4)) (+ (* a (+ a 3)) 9))))) (* (* 4 (* (+ a -1) (+ (* a (+ a 3)) 9))) (+ (* (* (* b 2) (* b (* a a))) (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (* (+ a -1) (+ 9 (* a a))) (+ (* a (+ a 3)) 9)) (* (+ (* a a) -1) (- 27 (pow a 3)))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ a -1) (+ 9 (* a a))) (* (* a a) (- 27 (pow a 3)))) (- 1 (* a a))) (* (* (+ (* a a) -1) (* b b)) (* (- 81 (pow a 4)) (+ (* a (+ a 3)) 9))))) (* (* 4 (* (+ a -1) (+ (* a (+ a 3)) 9))) (+ (* (* (* b 2) (* b (* a a))) (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1381 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3)) (+ (* (* (* (+ (* a a) 9) (+ a -1)) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a)))) (* (* (+ (* a (+ a 3)) 9) (- 81 (pow a 4))) (* (- (* a a) 1) (* b b))))) (* (* 4 (* (+ a -1) (+ a 3))) (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3)) (+ (* a (+ a 3)) 9)) (* (* (* (+ (* a a) 9) (+ a -1)) (* (- (* a a) 1) (- 9 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3)) (+ (* (* (* (+ (* a a) 9) (+ a -1)) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a)))) (* (* (+ (* a (+ a 3)) 9) (- 81 (pow a 4))) (* (- (* a a) 1) (* b b))))) (* (* 4 (* (+ a -1) (+ a 3))) (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3)) (+ (* a (+ a 3)) 9)) (* (* (* (+ (* a a) 9) (+ a -1)) (* (- (* a a) 1) (- 9 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1382 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- 27 (pow a 3)) (+ a 1)) (* (* (+ (* a a) 9) (+ -1 a)) (+ (* a (+ a 3)) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ (* a a) 9) (+ -1 a)) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a)))) (* (* (+ (* a (+ a 3)) 9) (* (+ (* a a) -1) (* b b))) (- 81 (pow a 4))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- 27 (pow a 3)) (+ a 1)) (* (* (+ (* a a) 9) (+ -1 a)) (+ (* a (+ a 3)) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ (* a a) 9) (+ -1 a)) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a)))) (* (* (+ (* a (+ a 3)) 9) (* (+ (* a a) -1) (* b b))) (- 81 (pow a 4))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1383 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ (* a a) 9) (+ a -1)) (* (* a a) (- 27 (pow a 3)))) (- 1 (* a a))) (* (- 81 (pow a 4)) (* (+ (* a (+ a 3)) 9) (* (+ (* a a) -1) (* b b)))))) (* (* 4 (+ a 3)) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ (* a a) 9) (+ a -1)) (+ (* a (+ a 3)) 9))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 9 (* a a)) (+ a 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ (* a a) 9) (+ a -1)) (* (* a a) (- 27 (pow a 3)))) (- 1 (* a a))) (* (- 81 (pow a 4)) (* (+ (* a (+ a 3)) 9) (* (+ (* a a) -1) (* b b)))))) (* (* 4 (+ a 3)) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ (* a a) 9) (+ a -1)) (+ (* a (+ a 3)) 9))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 9 (* a a)) (+ a 1))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1384 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (208 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (* a a)) (+ a -1))) (+ (* a a) 9)) (* (* (+ (* a (+ a 3)) 9) (- 81 (pow a 4))) (* (- (* a a) 1) (* b b))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* a a) 9) (+ a -1)) (+ (* a (+ a 3)) 9))) (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 3 a) (+ 1 (pow a 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (* a a)) (+ a -1))) (+ (* a a) 9)) (* (* (+ (* a (+ a 3)) 9) (- 81 (pow a 4))) (* (- (* a a) 1) (* b b))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* a a) 9) (+ a -1)) (+ (* a (+ a 3)) 9))) (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 3 a) (+ 1 (pow a 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1385 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- 3 a) (- (* a a) 1)) (* (* (+ (* a a) 9) (+ a -1)) (+ (* (+ a 3) a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (* a a)) (+ a -1))) (+ (* a a) 9)) (* (- (* a a) 1) (* (* (- 81 (pow a 4)) (* b b)) (+ (* (+ a 3) a) 9))))) (* (* 4 (+ a -1)) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- 3 a) (- (* a a) 1)) (* (* (+ (* a a) 9) (+ a -1)) (+ (* (+ a 3) a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (* a a)) (+ a -1))) (+ (* a a) 9)) (* (- (* a a) 1) (* (* (- 81 (pow a 4)) (* b b)) (+ (* (+ a 3) a) 9))))) (* (* 4 (+ a -1)) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1386 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (201 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (* (+ (* a a) 9) (+ a -1)) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3)))) (* (* (- (* a a) 1) (* b b)) (* (- 81 (pow a 4)) (+ (* a (+ a 3)) 9)))) (* (* 4 (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (* a a) (- 1 a)) (+ (* a (+ a 3)) 9)))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (* (* (+ (* a a) 9) (+ a -1)) (+ (* a (+ a 3)) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (* (* (+ (* a a) 9) (+ a -1)) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3)))) (* (* (- (* a a) 1) (* b b)) (* (- 81 (pow a 4)) (+ (* a (+ a 3)) 9)))) (* (* 4 (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (* a a) (- 1 a)) (+ (* a (+ a 3)) 9)))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (* (* (+ (* a a) 9) (+ a -1)) (+ (* a (+ a 3)) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1387 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (* (+ (pow a 3) 1) (- 9 (* a a))) (* (* (+ (* a a) 9) (+ a -1)) (+ (* a (+ a 3)) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (+ (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (* a a)) (+ a -1))) (+ (* a a) 9)) (* (* (+ (* a (+ a 3)) 9) (- (* a a) 1)) (* (- 81 (pow a 4)) (* b b)))) (* (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (* (+ (pow a 3) 1) (- 9 (* a a))) (* (* (+ (* a a) 9) (+ a -1)) (+ (* a (+ a 3)) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (+ (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (* a a)) (+ a -1))) (+ (* a a) 9)) (* (* (+ (* a (+ a 3)) 9) (- (* a a) 1)) (* (- 81 (pow a 4)) (* b b)))) (* (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1388 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (188 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (* (* (+ (* a a) 9) (+ -1 a)) (+ (* a (+ a 3)) 9)))) (* (+ (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (* a a)) (+ -1 a))) (+ (* a a) 9)) (* (* (+ (* a (+ a 3)) 9) (* (+ (* a a) -1) (* b b))) (- 81 (pow a 4)))) (* (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ -1 a) (+ (* a (+ a 3)) 9)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (* (* (+ (* a a) 9) (+ -1 a)) (+ (* a (+ a 3)) 9)))) (* (+ (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (* a a)) (+ -1 a))) (+ (* a a) 9)) (* (* (+ (* a (+ a 3)) 9) (* (+ (* a a) -1) (* b b))) (- 81 (pow a 4)))) (* (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ -1 a) (+ (* a (+ a 3)) 9)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1389 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (* a a)) (+ (* a a) 9)) (+ -1 a))) (* (* (+ (* a (+ a 3)) 9) (- (* a a) 1)) (* (- 81 (pow a 4)) (* b b)))) (* (* (* 4 (* (+ a 3) (+ -1 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (* (+ (* a a) 9) (+ -1 a)) (+ (* a (+ a 3)) 9))) (* (* (- (* a a) 1) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (* a a)) (+ (* a a) 9)) (+ -1 a))) (* (* (+ (* a (+ a 3)) 9) (- (* a a) 1)) (* (- 81 (pow a 4)) (* b b)))) (* (* (* 4 (* (+ a 3) (+ -1 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (* (+ (* a a) 9) (+ -1 a)) (+ (* a (+ a 3)) 9))) (* (* (- (* a a) 1) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1390 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (187 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3)) (* (* (+ (* a a) 9) (- a 1)) (+ (* a (+ a 3)) 9))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (+ a 1) (- 27 (pow a 3))))) (* (+ (* (* (* (+ (* a a) 9) (- a 1)) (* (* a a) (- 27 (pow a 3)))) (- 1 (* a a))) (* (* (+ (* a (+ a 3)) 9) (* (- (* a a) 1) (* b b))) (- 81 (pow a 4)))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3)) (* (* (+ (* a a) 9) (- a 1)) (+ (* a (+ a 3)) 9))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (+ a 1) (- 27 (pow a 3))))) (* (+ (* (* (* (+ (* a a) 9) (- a 1)) (* (* a a) (- 27 (pow a 3)))) (- 1 (* a a))) (* (* (+ (* a (+ a 3)) 9) (* (- (* a a) 1) (* b b))) (- 81 (pow a 4)))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1391 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* a a) 9) (+ -1 a)) (+ (* a (+ a 3)) 9))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b (* b 2)) (* a a)) (* (* b (* b 2)) (* a a)))) (* (- 9 (* a a)) (+ a 1)))) (* (+ (* (* (* (+ (* a a) 9) (+ -1 a)) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a)))) (* (* (- (* a a) 1) (* b b)) (* (- 81 (pow a 4)) (+ (* a (+ a 3)) 9)))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* a a) 9) (+ -1 a)) (+ (* a (+ a 3)) 9))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b (* b 2)) (* a a)) (* (* b (* b 2)) (* a a)))) (* (- 9 (* a a)) (+ a 1)))) (* (+ (* (* (* (+ (* a a) 9) (+ -1 a)) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a)))) (* (* (- (* a a) 1) (* b b)) (* (- 81 (pow a 4)) (+ (* a (+ a 3)) 9)))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1392 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* a (+ a 3)) 9)) (* (* (* (+ (* a a) 9) (+ a -1)) (* (- 3 a) (+ (pow a 3) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))))) (* (+ (* (* (* (+ (* a a) 9) (+ a -1)) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a)))) (* (+ (* a a) -1) (* (* (- 81 (pow a 4)) (* b b)) (+ (* a (+ a 3)) 9)))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* a (+ a 3)) 9)) (* (* (* (+ (* a a) 9) (+ a -1)) (* (- 3 a) (+ (pow a 3) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))))) (* (+ (* (* (* (+ (* a a) 9) (+ a -1)) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a)))) (* (+ (* a a) -1) (* (* (- 81 (pow a 4)) (* b b)) (+ (* a (+ a 3)) 9)))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1393 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (182 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) (* (* (+ (* a a) 9) (+ a -1)) (+ (* a (+ a 3)) 9))) (* (* (- 3 a) (- (* a a) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (* (* a a) (- 27 (pow a 3))) (* (* (+ (* a a) 9) (+ a -1)) (- 1 (* a a)))) (* (- (* a a) 1) (* (* (- 81 (pow a 4)) (* b b)) (+ (* a (+ a 3)) 9)))) (* (* (* 4 (+ a -1)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) (* (* (+ (* a a) 9) (+ a -1)) (+ (* a (+ a 3)) 9))) (* (* (- 3 a) (- (* a a) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (* (* a a) (- 27 (pow a 3))) (* (* (+ (* a a) 9) (+ a -1)) (- 1 (* a a)))) (* (- (* a a) 1) (* (* (- 81 (pow a 4)) (* b b)) (+ (* a (+ a 3)) 9)))) (* (* (* 4 (+ a -1)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1394 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (* a a)) (- a 1))) (+ (* a a) 9)) (* (* (+ (* (+ a 3) a) 9) (* (- (* a a) 1) (* b b))) (- 81 (pow a 4)))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* (+ a 3) a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (+ a 3) a) 9) (* (* (* (* (+ (* a a) 9) (- a 1)) (* (- 27 (pow a 3)) (+ (pow a 3) 1))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (* a a)) (- a 1))) (+ (* a a) 9)) (* (* (+ (* (+ a 3) a) 9) (* (- (* a a) 1) (* b b))) (- 81 (pow a 4)))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* (+ a 3) a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (+ a 3) a) 9) (* (* (* (* (+ (* a a) 9) (- a 1)) (* (- 27 (pow a 3)) (+ (pow a 3) 1))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1395 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ (* a a) 9) (+ -1 a)) (* (* a a) (- 27 (pow a 3)))) (- 1 (* a a))) (* (* (+ (* a (+ a 3)) 9) (- 81 (pow a 4))) (* (- (* a a) 1) (* b b)))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)))) (* (* (+ (* a a) 9) (+ -1 a)) (+ (* a (+ a 3)) 9)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ (* a a) 9) (+ -1 a)) (* (* a a) (- 27 (pow a 3)))) (- 1 (* a a))) (* (* (+ (* a (+ a 3)) 9) (- 81 (pow a 4))) (* (- (* a a) 1) (* b b)))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)))) (* (* (+ (* a a) 9) (+ -1 a)) (+ (* a (+ a 3)) 9)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1396 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ (* a a) 9) (+ a -1)) (* (* a a) (- 27 (pow a 3)))) (- 1 (* a a))) (* (* (+ (* a (+ a 3)) 9) (- (* a a) 1)) (* (- 81 (pow a 4)) (* b b)))) (* (* (* 4 (+ a -1)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- (* a a) 1) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))) (* (* (+ (* a a) 9) (+ a -1)) (+ (* a (+ a 3)) 9)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ (* a a) 9) (+ a -1)) (* (* a a) (- 27 (pow a 3)))) (- 1 (* a a))) (* (* (+ (* a (+ a 3)) 9) (- (* a a) 1)) (* (- 81 (pow a 4)) (* b b)))) (* (* (* 4 (+ a -1)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- (* a a) 1) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))) (* (* (+ (* a a) 9) (+ a -1)) (+ (* a (+ a 3)) 9)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1397 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ 3 a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) 9) (+ a -1)) (+ (* a (+ a 3)) 9)) (* (* (* (- 9 (* a a)) (- (* a a) 1)) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (+ (* a a) 9) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (* a a)) (+ a -1)))) (* (- 81 (pow a 4)) (* (+ (* a (+ a 3)) 9) (* (- (* a a) 1) (* b b))))) (* (* (* 4 (+ a 3)) (+ a -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* a a) 9) (+ a -1)) (+ (* a (+ a 3)) 9)) (* (* (* (- 9 (* a a)) (- (* a a) 1)) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (+ (* a a) 9) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (* a a)) (+ a -1)))) (* (- 81 (pow a 4)) (* (+ (* a (+ a 3)) 9) (* (- (* a a) 1) (* b b))))) (* (* (* 4 (+ a 3)) (+ a -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1398 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (166 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 27 (pow a 3)) (* (* (* a a) (- 1 (* a a))) (* (+ (* a a) 9) (+ a -1)))) (* (- 81 (pow a 4)) (* (+ (* a (+ a 3)) 9) (* (- (* a a) 1) (* b b))))) (* (+ (* (* a (+ a 3)) 4) 36) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* 2 a))) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* 2 a))) 3)) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* (* (+ (* a a) 9) (+ a -1)) (+ (* a (+ a 3)) 9)))) (* (+ a 1) (- 27 (pow a 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 27 (pow a 3)) (* (* (* a a) (- 1 (* a a))) (* (+ (* a a) 9) (+ a -1)))) (* (- 81 (pow a 4)) (* (+ (* a (+ a 3)) 9) (* (- (* a a) 1) (* b b))))) (* (+ (* (* a (+ a 3)) 4) 36) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* 2 a))) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* 2 a))) 3)) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* (* (+ (* a a) 9) (+ a -1)) (+ (* a (+ a 3)) 9)))) (* (+ a 1) (- 27 (pow a 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1399 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ 3 a)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) 9) (+ a -1)) (+ (* a (+ a 3)) 9)) (* (* (* (+ a 1) (- 9 (* a a))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (- 1 (* a a)) (* (* (* a a) (- 27 (pow a 3))) (* (+ (* a a) 9) (+ a -1)))) (* (* (+ (* a (+ a 3)) 9) (+ (* a a) -1)) (* (- 81 (pow a 4)) (* b b)))) (* (+ 12 (* a 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* a a) 9) (+ a -1)) (+ (* a (+ a 3)) 9)) (* (* (* (+ a 1) (- 9 (* a a))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (- 1 (* a a)) (* (* (* a a) (- 27 (pow a 3))) (* (+ (* a a) 9) (+ a -1)))) (* (* (+ (* a (+ a 3)) 9) (+ (* a a) -1)) (* (- 81 (pow a 4)) (* b b)))) (* (+ 12 (* a 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 1400 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (* a a)) (+ -1 a))) (+ (* a a) 9)) (* (* (+ (* (+ a 3) a) 9) (+ (* a a) -1)) (* (- 81 (pow a 4)) (* b b)))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* (* (+ (* a a) 9) (+ -1 a)) (+ (* (+ a 3) a) 9))) (* (* (+ (pow a 3) 1) (- 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (* a a)) (+ -1 a))) (+ (* a a) 9)) (* (* (+ (* (+ a 3) a) 9) (+ (* a a) -1)) (* (- 81 (pow a 4)) (* b b)))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* (* (+ (* a a) 9) (+ -1 a)) (+ (* (+ a 3) a) 9))) (* (* (+ (pow a 3) 1) (- 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 1401 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 27 (pow a 3)) (* (* (* a a) (- 1 (* a a))) (* (+ (* a a) 9) (+ -1 a)))) (* (- 81 (pow a 4)) (* (+ (* a (+ a 3)) 9) (* (- (* a a) 1) (* b b))))) (* (* 4 (+ -1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* (* (+ (* a a) 9) (+ -1 a)) (+ (* a (+ a 3)) 9))) (* (- (* a a) 1) (- 3 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 27 (pow a 3)) (* (* (* a a) (- 1 (* a a))) (* (+ (* a a) 9) (+ -1 a)))) (* (- 81 (pow a 4)) (* (+ (* a (+ a 3)) 9) (* (- (* a a) 1) (* b b))))) (* (* 4 (+ -1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* (* (+ (* a a) 9) (+ -1 a)) (+ (* a (+ a 3)) 9))) (* (- (* a a) 1) (- 3 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (- a 1))))) 1)) * * * * [misc]progress: [ 1402 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) 9) (+ a -1)) (+ (* a (+ a 3)) 9)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (+ a 1) (- 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (* (+ (* a a) 9) (+ a -1)) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a)))) (* (* (+ (* a (+ a 3)) 9) (- 81 (pow a 4))) (* (+ (* a a) -1) (* b b)))) 4))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (* a a) 9) (+ a -1)) (+ (* a (+ a 3)) 9)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (+ a 1) (- 3 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (* (+ (* a a) 9) (+ a -1)) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a)))) (* (* (+ (* a (+ a 3)) 9) (- 81 (pow a 4))) (* (+ (* a a) -1) (* b b)))) 4))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 1403 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ (* a a) 9) (- a 1)) (+ (* a (+ a 3)) 9))) (* (* (- 3 a) (+ a 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))))) (* (+ (* (+ (* a a) 9) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (* a a)) (- a 1)))) (* (- 81 (pow a 4)) (* (+ (* a (+ a 3)) 9) (* (- (* a a) 1) (* b b))))) (* (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ (* a a) 9) (- a 1)) (+ (* a (+ a 3)) 9))) (* (* (- 3 a) (+ a 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))))) (* (+ (* (+ (* a a) 9) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (* a a)) (- a 1)))) (* (- 81 (pow a 4)) (* (+ (* a (+ a 3)) 9) (* (- (* a a) 1) (* b b))))) (* (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (- a 1) (+ 9 (* a a)))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 1404 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (219 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (pow a 3) 1) (- 27 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (* a a) (- 1 (* a a))) (- 27 (pow a 3))) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (* (* (* b b) (+ a 1)) (+ (* a (+ a 3)) 9)) (- 729 (* (pow a 3) (pow a 3)))))) (* (* 4 (* (+ (* a (+ a 3)) 9) (+ (* a a) (- 1 a)))) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (pow a 3) 1) (- 27 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (* a a) (- 1 (* a a))) (- 27 (pow a 3))) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (* (* (* b b) (+ a 1)) (+ (* a (+ a 3)) 9)) (- 729 (* (pow a 3) (pow a 3)))))) (* (* 4 (* (+ (* a (+ a 3)) 9) (+ (* a a) (- 1 a)))) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1405 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (+ (* (* (- 1 (* a a)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (+ (* a (+ a 3)) 9) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ a 1)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ a 3))) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* a (+ a 3)) 9)) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (+ (pow (* (* (* a a) 2) (* b b)) 3) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (+ (* (* (- 1 (* a a)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (+ (* a (+ a 3)) 9) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ a 1)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ a 3))) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* a (+ a 3)) 9)) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (+ (pow (* (* (* a a) 2) (* b b)) 3) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1406 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (+ a 3) a) 9)) (* (- 27 (pow a 3)) (- (* a a) 1))) (+ (pow (* (* (* a a) (* b 2)) b) 3) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3)) (+ (* (* (* (- 1 (* a a)) (- 27 (pow a 3))) (* a a)) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (* (+ (* (+ a 3) a) 9) (- 729 (* (pow a 3) (pow a 3)))) (* (* b b) (+ a 1))))) (* (* 4 (* (- a 1) (+ 9 (* (+ a 3) a)))) (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (+ a 3) a) 9)) (* (- 27 (pow a 3)) (- (* a a) 1))) (+ (pow (* (* (* a a) (* b 2)) b) 3) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3)) (+ (* (* (* (- 1 (* a a)) (- 27 (pow a 3))) (* a a)) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (* (+ (* (+ a 3) a) 9) (- 729 (* (pow a 3) (pow a 3)))) (* (* b b) (+ a 1))))) (* (* 4 (* (- a 1) (+ 9 (* (+ a 3) a)))) (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1407 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (218 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- 9 (* a a)) (- (* a a) 1))) (* (* (+ (* (* a 9) a) (+ (pow a 4) 81)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* a a) (* (- 27 (pow a 3)) (- 1 (* a a)))) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (+ (* a (+ a 3)) 9) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ a 1)))))) (* (* 4 (* (+ a 3) (+ a -1))) (+ (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- 9 (* a a)) (- (* a a) 1))) (* (* (+ (* (* a 9) a) (+ (pow a 4) 81)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* a a) (* (- 27 (pow a 3)) (- 1 (* a a)))) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (+ (* a (+ a 3)) 9) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ a 1)))))) (* (* 4 (* (+ a 3) (+ a -1))) (+ (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1408 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3)) (+ (* (* (* (* a a) (- 1 (* a a))) (- 27 (pow a 3))) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (+ (* a (+ a 3)) 9) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ a 1)))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (* (* (* a a) (* b 2)) b) 3) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (+ a 1) (- 27 (pow a 3))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* a (+ a 3)) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3)) (+ (* (* (* (* a a) (- 1 (* a a))) (- 27 (pow a 3))) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (+ (* a (+ a 3)) 9) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ a 1)))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (* (* (* a a) (* b 2)) b) 3) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (+ a 1) (- 27 (pow a 3))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* a (+ a 3)) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1409 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (- 1 (* a a)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (* (+ (* a (+ a 3)) 9) (- 729 (* (pow a 3) (pow a 3)))) (* (* b b) (+ a 1))))) (* (* 4 (+ a 3)) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* a (+ a 3)) 9)) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ a 1) (- 9 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (- 1 (* a a)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (* (+ (* a (+ a 3)) 9) (- 729 (* (pow a 3) (pow a 3)))) (* (* b b) (+ a 1))))) (* (* 4 (+ a 3)) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* a (+ a 3)) 9)) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ a 1) (- 9 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1410 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (218 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)) (* (+ (* (* a 9) a) (+ (pow a 4) 81)) (+ (* a (+ a 3)) 9))) (* (+ (pow (* a (* (* b 2) (* b a))) 3) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 3 a) (+ 1 (pow a 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)) (+ (* (* (* (* a a) (- 1 (* a a))) (- 27 (pow a 3))) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (+ (* a (+ a 3)) 9) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ a 1)))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)) (* (+ (* (* a 9) a) (+ (pow a 4) 81)) (+ (* a (+ a 3)) 9))) (* (+ (pow (* a (* (* b 2) (* b a))) 3) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 3 a) (+ 1 (pow a 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)) (+ (* (* (* (* a a) (- 1 (* a a))) (- 27 (pow a 3))) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (+ (* a (+ a 3)) 9) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ a 1)))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1411 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* a a) -1) (- 3 a)) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* a (+ a 3)) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (* a a) (- 1 (* a a))) (- 27 (pow a 3))) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (* (* (* b b) (+ a 1)) (+ (* a (+ a 3)) 9)) (- 729 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ a -1)) (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* a a) -1) (- 3 a)) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* a (+ a 3)) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (* a a) (- 1 (* a a))) (- 27 (pow a 3))) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (* (* (* b b) (+ a 1)) (+ (* a (+ a 3)) 9)) (- 729 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ a -1)) (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1412 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (211 enodes) * [exit]simplify: Simplified to (* (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (* (+ (+ 81 (pow a 4)) (* a (* a 9))) (+ (* a (+ a 3)) 9)))) (* (+ (* (* (* a a) (* (- 27 (pow a 3)) (- 1 (* a a)))) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (+ (* a (+ a 3)) 9) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ a 1))))) (* (* 4 (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (- 1 a) (* a a)) (+ (* a (+ a 3)) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (* (+ (+ 81 (pow a 4)) (* a (* a 9))) (+ (* a (+ a 3)) 9)))) (* (+ (* (* (* a a) (* (- 27 (pow a 3)) (- 1 (* a a)))) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (+ (* a (+ a 3)) 9) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ a 1))))) (* (* 4 (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (- 1 a) (* a a)) (+ (* a (+ a 3)) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1413 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (216 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* a (+ a 3)) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (+ (* (* (* (- 1 (* a a)) (- 27 (pow a 3))) (* a a)) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (* b b) (+ a 1)) (+ (* a (+ a 3)) 9)))) (* (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* a (+ a 3)) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (+ (* (* (* (- 1 (* a a)) (- 27 (pow a 3))) (* a a)) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (* b b) (+ a 1)) (+ (* a (+ a 3)) 9)))) (* (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1414 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (205 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (- 27 (pow a 3)) (* (* a a) (- 1 (* a a)))) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (* (* (* b b) (+ a 1)) (+ (* (+ a 3) a) 9)) (- 729 (* (pow a 3) (pow a 3))))) (* (* 4 (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ a -1) (+ 9 (* (+ a 3) a))))) (* (* (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (- (* a a) 1) (- 27 (pow a 3))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* (+ a 3) a) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (* (- 27 (pow a 3)) (* (* a a) (- 1 (* a a)))) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (* (* (* b b) (+ a 1)) (+ (* (+ a 3) a) 9)) (- 729 (* (pow a 3) (pow a 3))))) (* (* 4 (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ a -1) (+ 9 (* (+ a 3) a))))) (* (* (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (- (* a a) 1) (- 27 (pow a 3))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* (+ a 3) a) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1415 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* a a) (* (- 27 (pow a 3)) (- 1 (* a a)))) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (+ (* a (+ a 3)) 9) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ a 1))))) (* (* (* 4 (* (+ a 3) (+ -1 a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* a (+ a 3)) 9)) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ (* a a) -1) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* a a) (* (- 27 (pow a 3)) (- 1 (* a a)))) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (+ (* a (+ a 3)) 9) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ a 1))))) (* (* (* 4 (* (+ a 3) (+ -1 a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* a (+ a 3)) 9)) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ (* a a) -1) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1416 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (- 1 (* a a)) (- 27 (pow a 3))) (* a a)) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (+ (* a (+ a 3)) 9) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ a 1))))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (+ 81 (pow a 4)) (* (* a 9) a)) (+ (* a (+ a 3)) 9))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) (* (+ a 1) (- 27 (pow a 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (- 1 (* a a)) (- 27 (pow a 3))) (* a a)) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (+ (* a (+ a 3)) 9) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ a 1))))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (+ 81 (pow a 4)) (* (* a 9) a)) (+ (* a (+ a 3)) 9))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) (* (+ a 1) (- 27 (pow a 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1417 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (* (- 9 (* a a)) (+ a 1)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* a (+ a 3)) 9))))) (* (+ (* (* (- 1 (* a a)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (* (+ (* a (+ a 3)) 9) (+ a 1)) (* (- 729 (* (pow a 3) (pow a 3))) (* b b)))) (* (* (* 4 (+ a 3)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (* (- 9 (* a a)) (+ a 1)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* a (+ a 3)) 9))))) (* (+ (* (* (- 1 (* a a)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (* (+ (* a (+ a 3)) 9) (+ a 1)) (* (- 729 (* (pow a 3) (pow a 3))) (* b b)))) (* (* (* 4 (+ a 3)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1418 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* a a) (- 1 (* a a))) (- 27 (pow a 3))) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (+ (* a (+ a 3)) 9) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ a 1))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (+ (pow a 3) 1) (- 3 a)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* a a) (- 1 (* a a))) (- 27 (pow a 3))) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (+ (* a (+ a 3)) 9) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ a 1))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (+ (pow a 3) 1) (- 3 a)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1419 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (* (- 3 a) (+ (* a a) -1)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* a (+ a 3)) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (+ (* (* (* (- 1 (* a a)) (- 27 (pow a 3))) (* a a)) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (* (* (* b b) (+ a 1)) (+ (* a (+ a 3)) 9)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ a -1)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (* (- 3 a) (+ (* a a) -1)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* a (+ a 3)) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (+ (* (* (* (- 1 (* a a)) (- 27 (pow a 3))) (* a a)) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (* (* (* b b) (+ a 1)) (+ (* a (+ a 3)) 9)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ a -1)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1420 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 (* a a)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (* (* b b) (+ a 1)) (* (- 729 (* (pow a 3) (pow a 3))) (+ (* (+ a 3) a) 9)))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* (+ a 3) a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (* (* a 9) a) (+ (pow a 4) 81)) (+ (* (+ a 3) a) 9)) (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 1 (* a a)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (* (* b b) (+ a 1)) (* (- 729 (* (pow a 3) (pow a 3))) (+ (* (+ a 3) a) 9)))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* (+ a 3) a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (* (* a 9) a) (+ (pow a 4) 81)) (+ (* (+ a 3) a) 9)) (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1421 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (- 1 (* a a)) (- 27 (pow a 3))) (* a a)) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (* (* (* b b) (+ a 1)) (+ (* a (+ a 3)) 9)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* a (+ a 3)) 9)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (- 1 (* a a)) (- 27 (pow a 3))) (* a a)) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (* (* (* b b) (+ a 1)) (+ (* a (+ a 3)) 9)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* a (+ a 3)) 9)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1422 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (184 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* a a) (- 1 (* a a))) (- 27 (pow a 3))) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (+ (* a (+ a 3)) 9) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ a 1))))) (* (* (* 4 (+ -1 a)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* a (+ a 3)) 9)) (* (* (* (- (* a a) 1) (- 27 (pow a 3))) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* a a) (- 1 (* a a))) (- 27 (pow a 3))) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (+ (* a (+ a 3)) 9) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ a 1))))) (* (* (* 4 (+ -1 a)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* a (+ a 3)) 9)) (* (* (* (- (* a a) 1) (- 27 (pow a 3))) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1423 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ 3 a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (- 1 (* a a)) (- 27 (pow a 3))) (* a a)) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (+ (* a (+ a 3)) 9) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ a 1))))) (* (* (* 4 (+ a 3)) (+ -1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a)))) (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (+ (* a (+ a 3)) 9))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (- 1 (* a a)) (- 27 (pow a 3))) (* a a)) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (+ (* a (+ a 3)) 9) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ a 1))))) (* (* (* 4 (+ a 3)) (+ -1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a)))) (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (+ (* a (+ a 3)) 9))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1424 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (+ (* a (+ a 3)) 9)) (* (* (+ a 1) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (- 27 (pow a 3)) (* (* a a) (- 1 (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (* (* (* b b) (+ a 1)) (+ (* a (+ a 3)) 9)) (- 729 (* (pow a 3) (pow a 3))))) (* (+ 36 (* (* a (+ a 3)) 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (+ (* a (+ a 3)) 9)) (* (* (+ a 1) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (- 27 (pow a 3)) (* (* a a) (- 1 (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (* (* (* b b) (+ a 1)) (+ (* a (+ a 3)) 9)) (- 729 (* (pow a 3) (pow a 3))))) (* (+ 36 (* (* a (+ a 3)) 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1425 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ 3 a)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 27 (pow a 3)) (* (* a a) (- 1 (* a a)))) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (* (* (* b b) (+ a 1)) (+ (* a (+ a 3)) 9)) (- 729 (* (pow a 3) (pow a 3))))) (* (+ 12 (* a 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* a (+ a 3)) 9)) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))))) (* (- 9 (* a a)) (+ a 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 27 (pow a 3)) (* (* a a) (- 1 (* a a)))) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (* (* (* b b) (+ a 1)) (+ (* a (+ a 3)) 9)) (- 729 (* (pow a 3) (pow a 3))))) (* (+ 12 (* a 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* a (+ a 3)) 9)) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))))) (* (- 9 (* a a)) (+ a 1)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 1426 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (188 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* a a) (- 1 (* a a))) (- 27 (pow a 3))) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (* b b) (+ a 1)) (+ (* (+ a 3) a) 9)))) (* (* (+ (* a a) (- 1 a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (+ a 3) a) 9) (* (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ 1 (pow a 3)) (- 3 a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* a a) (- 1 (* a a))) (- 27 (pow a 3))) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (* b b) (+ a 1)) (+ (* (+ a 3) a) 9)))) (* (* (+ (* a a) (- 1 a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (+ a 3) a) 9) (* (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ 1 (pow a 3)) (- 3 a))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 1427 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* a a) (- 1 (* a a))) (- 27 (pow a 3))) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (+ (* (+ a 3) a) 9) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ a 1))))) (* (+ (* a 4) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (+ a 3) a) 9)) (* (* (* (- 3 a) (+ (* a a) -1)) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* a a) (- 1 (* a a))) (- 27 (pow a 3))) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (+ (* (+ a 3) a) 9) (* (- 729 (* (pow a 3) (pow a 3))) (* (* b b) (+ a 1))))) (* (+ (* a 4) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* (+ a 3) a) 9)) (* (* (* (- 3 a) (+ (* a a) -1)) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (- a 1))))) 1)) * * * * [misc]progress: [ 1428 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (201 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (+ (* a (+ a 3)) 9)) (* (- 3 a) (+ a 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (- 1 (* a a)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (* (* (* b b) (+ a 1)) (+ (* a (+ a 3)) 9)) (- 729 (* (pow a 3) (pow a 3))))) 4))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (+ (* a (+ a 3)) 9)) (* (- 3 a) (+ a 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (- 1 (* a a)) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (* (* (* b b) (+ a 1)) (+ (* a (+ a 3)) 9)) (- 729 (* (pow a 3) (pow a 3))))) 4))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 1429 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (187 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* a a) (- 1 (* a a))) (- 27 (pow a 3))) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (* (* (* b b) (+ a 1)) (+ (* (+ a 3) a) 9)) (- 729 (* (pow a 3) (pow a 3))))) (* (* 4 (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (- 3 a) (+ a 1))) (* (* (+ (+ (pow a 4) 81) (* a (* a 9))) (+ (* (+ a 3) a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* a a) (- 1 (* a a))) (- 27 (pow a 3))) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (* (* (* b b) (+ a 1)) (+ (* (+ a 3) a) 9)) (- 729 (* (pow a 3) (pow a 3))))) (* (* 4 (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (- 3 a) (+ a 1))) (* (* (+ (+ (pow a 4) 81) (* a (* a 9))) (+ (* (+ a 3) a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 1430 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3)) (* (* (+ (pow a 3) 1) (- 27 (pow a 3))) (* (+ (* a a) 9) (+ (* a (+ a 3)) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3)) (+ (* (* (+ (* a a) 9) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4)))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ (* a (+ a 3)) 9))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (* b 2) (* b (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3)) (* (* (+ (pow a 3) 1) (- 27 (pow a 3))) (* (+ (* a a) 9) (+ (* a (+ a 3)) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3)) (+ (* (* (+ (* a a) 9) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4)))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ (* a (+ a 3)) 9))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (* b 2) (* b (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1431 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* a (+ a 3)) 9)) (* (* (+ (* a a) 9) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* 4 (+ (* (* (+ (* a a) 9) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4))))))) (* (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))))) (* (+ a 3) (+ (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* a (+ a 3)) 9)) (* (* (+ (* a a) 9) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* 4 (+ (* (* (+ (* a a) 9) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4))))))) (* (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))))) (* (+ a 3) (+ (- 1 a) (* a a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1432 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a (+ a 3)) 9) (+ a -1)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))))) (* (* 4 (+ (* (* (+ (* a a) 9) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)))) (* (* (* (* (+ (* a a) 9) (+ (* a (+ a 3)) 9)) (* (- 27 (pow a 3)) (- (* a a) 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* a (+ a 3)) 9) (+ a -1)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))))) (* (* 4 (+ (* (* (+ (* a a) 9) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)))) (* (* (* (* (+ (* a a) 9) (+ (* a (+ a 3)) 9)) (* (- 27 (pow a 3)) (- (* a a) 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1433 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (203 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (+ (* (* (+ (* a a) 9) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4)))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))))) (* (* (+ a 3) (+ a -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3)) (+ (* a (+ a 3)) 9)) (* (* (+ (* a a) 9) (* (- 9 (* a a)) (- (* a a) 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* 4 (+ (* (* (+ (* a a) 9) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4)))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))))) (* (* (+ a 3) (+ a -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3)) (+ (* a (+ a 3)) 9)) (* (* (+ (* a a) 9) (* (- 9 (* a a)) (- (* a a) 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1434 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (187 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3)) (+ (* (* (+ (* a a) 9) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4)))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3)) (* (+ (* a a) 9) (+ (* a (+ a 3)) 9))) (* (* (+ a 1) (- 27 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3)) (+ (* (* (+ (* a a) 9) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4)))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3)) (* (+ (* a a) 9) (+ (* a (+ a 3)) 9))) (* (* (+ a 1) (- 27 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1435 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* a a) 9) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4)))))) (* (* 4 (+ a 3)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ (* a a) 9) (+ (* a (+ a 3)) 9)) (* (- 9 (* a a)) (+ a 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* a a) 9) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4)))))) (* (* 4 (+ a 3)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ (* a a) 9) (+ (* a (+ a 3)) 9)) (* (- 9 (* a a)) (+ a 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1436 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (203 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 (pow a 3)) (- 3 a)) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (+ (* a a) 9) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* 4 (+ (* (* (* a a) (- 27 (pow a 3))) (* (+ (* a a) 9) (- 1 (* a a)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4)))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))))) (* (+ (- 1 a) (* a a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 1 (pow a 3)) (- 3 a)) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (+ (* a a) 9) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* 4 (+ (* (* (* a a) (- 27 (pow a 3))) (* (+ (* a a) 9) (- 1 (* a a)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4)))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))))) (* (+ (- 1 a) (* a a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1437 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* a (+ a 3)) 9)) (* (* (+ (* a a) 9) (* (- (* a a) 1) (- 3 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* 4 (+ (* (* (+ (* a a) 9) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4)))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))))) (* (+ -1 a) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* a (+ a 3)) 9)) (* (* (+ (* a a) 9) (* (- (* a a) 1) (- 3 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* 4 (+ (* (* (+ (* a a) 9) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4)))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))))) (* (+ -1 a) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1438 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ (* a a) 9) (+ (* a a) 9)) (* (* a 3) (+ (* a a) 9))) (* (- 27 (pow a 3)) (+ 1 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* a a) (- 27 (pow a 3))) (* (+ (* a a) 9) (- 1 (* a a)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4)))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) 4))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (+ (* a a) 9) (+ (* a a) 9)) (* (* a 3) (+ (* a a) 9))) (* (- 27 (pow a 3)) (+ 1 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* a a) (- 27 (pow a 3))) (* (+ (* a a) 9) (- 1 (* a a)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4)))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) 4))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1439 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (201 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (* (* a a) (- 27 (pow a 3))) (* (+ (* a a) 9) (- 1 (* a a)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4)))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))) (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (+ (* (+ (* a a) 9) (+ (* a a) 9)) (* (* a 3) (+ (* a a) 9)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* a a) (* b b))) 3))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (* (* a a) (- 27 (pow a 3))) (* (+ (* a a) 9) (- 1 (* a a)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4)))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))) (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (+ (* (+ (* a a) 9) (+ (* a a) 9)) (* (* a 3) (+ (* a a) 9)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* a a) (* b b))) 3))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1440 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (+ (* a (+ a 3)) 9) (+ -1 a)))) (* 4 (+ (* (* (+ (* a a) 9) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4))))))) (* (* (* (- (* a a) 1) (- 27 (pow a 3))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))) (* (* (+ (* a a) 9) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (+ (* a (+ a 3)) 9) (+ -1 a)))) (* 4 (+ (* (* (+ (* a a) 9) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4))))))) (* (* (* (- (* a a) 1) (- 27 (pow a 3))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))) (* (* (+ (* a a) 9) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1441 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* 4 (* (- a 1) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (+ (* (* (+ (* a a) 9) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4)))))) (* (* (* (+ (* a a) 9) (+ (* a (+ a 3)) 9)) (* (- 9 (* a a)) (+ (* a a) -1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* 4 (* (- a 1) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (+ (* (* (+ (* a a) 9) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4)))))) (* (* (* (+ (* a a) 9) (+ (* a (+ a 3)) 9)) (* (- 9 (* a a)) (+ (* a a) -1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1442 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ (* a a) 9) (+ (* a (+ a 3)) 9)) (* (+ a 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a)))))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (* (* a a) (- 27 (pow a 3))) (* (+ (* a a) 9) (- 1 (* a a)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ (* a a) 9) (+ (* a (+ a 3)) 9)) (* (+ a 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a)))))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (* (* a a) (- 27 (pow a 3))) (* (+ (* a a) 9) (- 1 (* a a)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1443 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (184 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (* (* (+ (* a a) 9) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4))))) (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))) (* (* (- 9 (* a a)) (+ a 1)) (+ (* (+ (* a a) 9) (+ (* a a) 9)) (* (* a 3) (+ (* a a) 9))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (* (* (+ (* a a) 9) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4))))) (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))) (* (* (- 9 (* a a)) (+ a 1)) (+ (* (+ (* a a) 9) (+ (* a a) 9)) (* (* a 3) (+ (* a a) 9))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1444 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * [exit]simplify: Simplified to (* (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))) (* (* (+ 1 (pow a 3)) (- 3 a)) (* (+ (* a a) 9) (+ (* a (+ a 3)) 9)))) (* (+ (* (* (+ (* a a) 9) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))) (* (* (+ 1 (pow a 3)) (- 3 a)) (* (+ (* a a) 9) (+ (* a (+ a 3)) 9)))) (* (+ (* (* (+ (* a a) 9) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1445 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (184 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* 4 (+ a -1)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (+ (* (* (* a a) (- 27 (pow a 3))) (* (+ (* a a) 9) (- 1 (* a a)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4)))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a))))) (* (* (- 3 a) (- (* a a) 1)) (* (+ (* a a) 9) (+ (* a (+ a 3)) 9)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* 4 (+ a -1)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (+ (* (* (* a a) (- 27 (pow a 3))) (* (+ (* a a) 9) (- 1 (* a a)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4)))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a))))) (* (* (- 3 a) (- (* a a) 1)) (* (+ (* a a) 9) (+ (* a (+ a 3)) 9)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1446 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (* (- 27 (pow a 3)) (+ (pow a 3) 1)) (* (+ (* a a) 9) (+ (* a (+ a 3)) 9)))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* a (+ a 3)) 9)) (+ (* (* (* a a) (- 27 (pow a 3))) (* (+ (* a a) 9) (- 1 (* a a)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (* (- 27 (pow a 3)) (+ (pow a 3) 1)) (* (+ (* a a) 9) (+ (* a (+ a 3)) 9)))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* a (+ a 3)) 9)) (+ (* (* (* a a) (- 27 (pow a 3))) (* (+ (* a a) 9) (- 1 (* a a)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1447 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (* (* a a) (- 27 (pow a 3))) (* (+ (* a a) 9) (- 1 (* a a)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4))))) (* (* 4 (+ a 3)) (+ (* a a) (- 1 a)))) (* (* (+ (pow a 3) 1) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (- 9 (* a a)) (* (+ (* a a) 9) (+ (* a (+ a 3)) 9)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (* (* a a) (- 27 (pow a 3))) (* (+ (* a a) 9) (- 1 (* a a)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4))))) (* (* 4 (+ a 3)) (+ (* a a) (- 1 a)))) (* (* (+ (pow a 3) 1) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (- 9 (* a a)) (* (+ (* a a) 9) (+ (* a (+ a 3)) 9)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1448 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ (* a a) 9) (+ (* (+ a 3) a) 9)) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (- (* a a) 1) (- 27 (pow a 3)))) (* (+ (* (* (+ (* a a) 9) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3)))) (* (+ (* (+ a 3) a) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4))))) (* (* 4 (- a 1)) (+ (* (+ a 3) a) 9))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ (* a a) 9) (+ (* (+ a 3) a) 9)) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (- (* a a) 1) (- 27 (pow a 3)))) (* (+ (* (* (+ (* a a) 9) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3)))) (* (+ (* (+ a 3) a) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4))))) (* (* 4 (- a 1)) (+ (* (+ a 3) a) 9))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1449 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ 3 a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ (* a a) 9) (+ (* a (+ a 3)) 9)) (* (- (* a a) 1) (- 9 (* a a)))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (* (* (+ a 3) (+ a -1)) 4) (+ (* (* (* a a) (- 27 (pow a 3))) (* (+ (* a a) 9) (- 1 (* a a)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ (* a a) 9) (+ (* a (+ a 3)) 9)) (* (- (* a a) 1) (- 9 (* a a)))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (* (* (+ a 3) (+ a -1)) 4) (+ (* (* (* a a) (- 27 (pow a 3))) (* (+ (* a a) 9) (- 1 (* a a)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1450 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (158 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a a) 9) (+ (* a (+ a 3)) 9))) (* (* (+ a 1) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* a (+ a 3)) 9)) (* 4 (+ (* (* (+ (* a a) 9) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a a) 9) (+ (* a (+ a 3)) 9))) (* (* (+ a 1) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* a (+ a 3)) 9)) (* 4 (+ (* (* (+ (* a a) 9) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1451 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ 3 a)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ (* a a) 9) (* (+ a 1) (- 9 (* a a)))) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (+ (* a (+ a 3)) 9)) (* (+ (* (* (+ (* a a) 9) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4))))) (* 4 (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (+ (* a a) 9) (* (+ a 1) (- 9 (* a a)))) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (+ (* a (+ a 3)) 9)) (* (+ (* (* (+ (* a a) 9) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4))))) (* 4 (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 1452 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* a a) (- 1 a)) 4) (+ (* (* (+ (* a a) 9) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4)))))) (* (* (+ 1 (pow a 3)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a))) (* (- 3 a) (* (+ (* a a) 9) (+ (* a (+ a 3)) 9)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* a a) (- 1 a)) 4) (+ (* (* (+ (* a a) 9) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4)))))) (* (* (+ 1 (pow a 3)) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a))) (* (- 3 a) (* (+ (* a a) 9) (+ (* a (+ a 3)) 9)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 1453 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (- 3 a) (+ (* a a) -1)) (* (+ (* a a) 9) (+ (* a (+ a 3)) 9)))) (* (+ (* (* (+ (* a a) 9) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4))))) (+ (* 4 a) -4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (- 3 a) (+ (* a a) -1)) (* (+ (* a a) 9) (+ (* a (+ a 3)) 9)))) (* (+ (* (* (+ (* a a) 9) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4))))) (+ (* 4 a) -4)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (- a 1))))) 1)) * * * * [misc]progress: [ 1454 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* 4 (+ (* (* (+ (* a a) 9) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4)))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (- 3 a) (+ a 1)) (* (+ (* a a) 9) (+ (* a (+ a 3)) 9)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* 4 (+ (* (* (+ (* a a) 9) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3)))) (* (+ (* a (+ a 3)) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4)))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (- 3 a) (+ a 1)) (* (+ (* a a) 9) (+ (* a (+ a 3)) 9)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 1455 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))) (* (* (+ a 1) (- 3 a)) (* (+ (* a a) 9) (+ (* (+ a 3) a) 9)))) (* (+ (* (* (* a a) (- 27 (pow a 3))) (* (+ (* a a) 9) (- 1 (* a a)))) (* (+ (* (+ a 3) a) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4))))) (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))) (* (* (+ a 1) (- 3 a)) (* (+ (* a a) 9) (+ (* (+ a 3) a) 9)))) (* (+ (* (* (* a a) (- 27 (pow a 3))) (* (+ (* a a) 9) (- 1 (* a a)))) (* (+ (* (+ a 3) a) 9) (* (* (+ a 1) (* b b)) (- 81 (pow a 4))))) (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) 4)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 9 (* a a))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 1456 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- 1 a) (* a a)) (+ 9 (* (+ a 3) a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 9 (* (+ a 3) a)) (* (+ 1 (pow a 3)) (* b b))) (- 9 (* a a))) (* (* (* a a) (- 27 (pow a 3))) (* (+ (- 1 a) (* a a)) (- 1 (* a a)))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* (+ a 3) a)))) (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- 1 a) (* a a)) (+ 9 (* (+ a 3) a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 9 (* (+ a 3) a)) (* (+ 1 (pow a 3)) (* b b))) (- 9 (* a a))) (* (* (* a a) (- 27 (pow a 3))) (* (+ (- 1 a) (* a a)) (- 1 (* a a)))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* (+ a 3) a)))) (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1457 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ 9 (* a (+ a 3))))) (* (* (+ (- 1 a) (* a a)) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3)))))) (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ 9 (* a (+ a 3))))) (* (* (+ (- 1 a) (* a a)) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3)))))) (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1458 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))) (* (- (* a a) 1) (- 27 (pow a 3)))) (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (- 9 (* a a)) (* (+ 9 (* a (+ a 3))) (* (+ 1 (pow a 3)) (* b b)))) (* (* (+ (- 1 a) (* a a)) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3)))))) (* (* 4 (* (+ 9 (* a (+ a 3))) (+ a -1))) (+ (* (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))) (* (- (* a a) 1) (- 27 (pow a 3)))) (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (- 9 (* a a)) (* (+ 9 (* a (+ a 3))) (* (+ 1 (pow a 3)) (* b b)))) (* (* (+ (- 1 a) (* a a)) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3)))))) (* (* 4 (* (+ 9 (* a (+ a 3))) (+ a -1))) (+ (* (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1459 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ (* a a) -1) (- 9 (* a a))) (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ 9 (* a (+ a 3))))) (* (* (* a a) (- 27 (pow a 3))) (* (+ (- 1 a) (* a a)) (- 1 (* a a)))))) (* (* 4 (* (+ a -1) (+ a 3))) (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ (* a a) -1) (- 9 (* a a))) (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ 9 (* a (+ a 3))))) (* (* (* a a) (- 27 (pow a 3))) (* (+ (- 1 a) (* a a)) (- 1 (* a a)))))) (* (* 4 (* (+ a -1) (+ a 3))) (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1460 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2)))) (* (- 27 (pow a 3)) (+ a 1))) (* (* (+ (- 1 a) (* a a)) (+ 9 (* (+ a 3) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2)))) (+ (* (- 9 (* a a)) (* (+ 9 (* (+ a 3) a)) (* (+ 1 (pow a 3)) (* b b)))) (* (* (* a a) (- 27 (pow a 3))) (* (+ (- 1 a) (* a a)) (- 1 (* a a)))))) (* (* 4 (+ 9 (* (+ a 3) a))) (+ (* (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (* b 2) (* b (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2)))) (* (- 27 (pow a 3)) (+ a 1))) (* (* (+ (- 1 a) (* a a)) (+ 9 (* (+ a 3) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2)))) (+ (* (- 9 (* a a)) (* (+ 9 (* (+ a 3) a)) (* (+ 1 (pow a 3)) (* b b)))) (* (* (* a a) (- 27 (pow a 3))) (* (+ (- 1 a) (* a a)) (- 1 (* a a)))))) (* (* 4 (+ 9 (* (+ a 3) a))) (+ (* (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (* b 2) (* b (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1461 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))) (* (- 9 (* a a)) (+ a 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ 1 (pow a 3)) (* (* (* b b) (- 9 (* a a))) (+ 9 (* a (+ a 3))))) (* (* (* a a) (- 27 (pow a 3))) (* (+ (- 1 a) (* a a)) (- 1 (* a a)))))) (* (* 4 (+ a 3)) (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))) (* (- 9 (* a a)) (+ a 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ 1 (pow a 3)) (* (* (* b b) (- 9 (* a a))) (+ 9 (* a (+ a 3))))) (* (* (* a a) (- 27 (pow a 3))) (* (+ (- 1 a) (* a a)) (- 1 (* a a)))))) (* (* 4 (+ a 3)) (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1462 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ 9 (* (+ a 3) a))) (* (* (+ (- 1 a) (* a a)) (* (+ 1 (pow a 3)) (- 3 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (+ 9 (* (+ a 3) a)) (+ 1 (pow a 3))) (* (* b b) (- 9 (* a a)))) (* (* (* a a) (- 27 (pow a 3))) (* (+ (- 1 a) (* a a)) (- 1 (* a a)))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ 9 (* (+ a 3) a))) (* (* (+ (- 1 a) (* a a)) (* (+ 1 (pow a 3)) (- 3 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (+ 9 (* (+ a 3) a)) (+ 1 (pow a 3))) (* (* b b) (- 9 (* a a)))) (* (* (* a a) (- 27 (pow a 3))) (* (+ (- 1 a) (* a a)) (- 1 (* a a)))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1463 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))) (* (- 3 a) (- (* a a) 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ 9 (* a (+ a 3))) (- 9 (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (* (* a a) (- 27 (pow a 3))) (* (+ (- 1 a) (* a a)) (- 1 (* a a)))))) (* (* 4 (+ -1 a)) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))) (* (- 3 a) (- (* a a) 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ 9 (* a (+ a 3))) (- 9 (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (* (* a a) (- 27 (pow a 3))) (* (+ (- 1 a) (* a a)) (- 1 (* a a)))))) (* (* 4 (+ -1 a)) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1464 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (182 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* (+ a 3) a)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (+ (* (* (+ 9 (* (+ a 3) a)) (* (+ 1 (pow a 3)) (* b b))) (- 9 (* a a))) (* (* (* a a) (- 27 (pow a 3))) (* (+ (- 1 a) (* a a)) (- 1 (* a a)))))) (* (* (* (+ (- 1 a) (* a a)) (+ 9 (* (+ a 3) a))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* (+ a 3) a)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (+ (* (* (+ 9 (* (+ a 3) a)) (* (+ 1 (pow a 3)) (* b b))) (- 9 (* a a))) (* (* (* a a) (- 27 (pow a 3))) (* (+ (- 1 a) (* a a)) (- 1 (* a a)))))) (* (* (* (+ (- 1 a) (* a a)) (+ 9 (* (+ a 3) a))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1465 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 9 (* a (+ a 3))) (+ 1 (pow a 3))) (* (* b b) (- 9 (* a a)))) (* (* (* a a) (- 27 (pow a 3))) (* (+ (- 1 a) (* a a)) (- 1 (* a a))))) (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 9 (* a (+ a 3))) (+ 1 (pow a 3))) (* (* b b) (- 9 (* a a)))) (* (* (* a a) (- 27 (pow a 3))) (* (+ (- 1 a) (* a a)) (- 1 (* a a))))) (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1466 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* 4 (* (+ -1 a) (+ 9 (* a (+ a 3))))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (+ (* (* (+ 9 (* a (+ a 3))) (- 9 (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (* (+ (- 1 a) (* a a)) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3)))))) (* (* (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))) (* (- 27 (pow a 3)) (- (* a a) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* 4 (* (+ -1 a) (+ 9 (* a (+ a 3))))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (+ (* (* (+ 9 (* a (+ a 3))) (- 9 (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (* (+ (- 1 a) (* a a)) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3)))))) (* (* (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))) (* (- 27 (pow a 3)) (- (* a a) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1467 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a))))) (* (* (+ (* a a) -1) (- 9 (* a a))) (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))) (* (+ (* (+ 9 (* a (+ a 3))) (* (* (+ 1 (pow a 3)) (* b b)) (- 9 (* a a)))) (* (* (+ (- 1 a) (* a a)) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (* (+ a -1) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a))))) (* (* (+ (* a a) -1) (- 9 (* a a))) (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))) (* (+ (* (+ 9 (* a (+ a 3))) (* (* (+ 1 (pow a 3)) (* b b)) (- 9 (* a a)))) (* (* (+ (- 1 a) (* a a)) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (* (+ a -1) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1468 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (182 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ 1 (pow a 3)) (* (* (* b b) (- 9 (* a a))) (+ 9 (* (+ a 3) a)))) (* (* (+ (- 1 a) (* a a)) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (+ 9 (* (+ a 3) a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (* (* (* (+ (- 1 a) (* a a)) (+ 9 (* (+ a 3) a))) (* (- 27 (pow a 3)) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ 1 (pow a 3)) (* (* (* b b) (- 9 (* a a))) (+ 9 (* (+ a 3) a)))) (* (* (+ (- 1 a) (* a a)) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (+ 9 (* (+ a 3) a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (* (* (* (+ (- 1 a) (* a a)) (+ 9 (* (+ a 3) a))) (* (- 27 (pow a 3)) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1469 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (187 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ 9 (* a (+ a 3))) (* (* (+ 1 (pow a 3)) (* b b)) (- 9 (* a a)))) (* (* (* a a) (- 27 (pow a 3))) (* (+ (- 1 a) (* a a)) (- 1 (* a a))))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))) (* (* (+ a 1) (- 9 (* a a))) (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ 9 (* a (+ a 3))) (* (* (+ 1 (pow a 3)) (* b b)) (- 9 (* a a)))) (* (* (* a a) (- 27 (pow a 3))) (* (+ (- 1 a) (* a a)) (- 1 (* a a))))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))) (* (* (+ a 1) (- 9 (* a a))) (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1470 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 9 (* (+ a 3) a)) (- 9 (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (* (+ (- 1 a) (* a a)) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (- 1 a) (* a a)) (+ 9 (* (+ a 3) a)))) (* (* (- 3 a) (+ 1 (pow a 3))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 9 (* (+ a 3) a)) (- 9 (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (* (+ (- 1 a) (* a a)) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (- 1 a) (* a a)) (+ 9 (* (+ a 3) a)))) (* (* (- 3 a) (+ 1 (pow a 3))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1471 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a))) (* (* (- (* a a) 1) (- 3 a)) (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))))) (* (+ (* (* (+ 9 (* a (+ a 3))) (* (+ 1 (pow a 3)) (* b b))) (- 9 (* a a))) (* (* (+ (- 1 a) (* a a)) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (+ a -1)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a))) (* (* (- (* a a) 1) (- 3 a)) (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))))) (* (+ (* (* (+ 9 (* a (+ a 3))) (* (+ 1 (pow a 3)) (* b b))) (- 9 (* a a))) (* (* (+ (- 1 a) (* a a)) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (+ a -1)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1472 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 9 (* a a)) (* (+ 9 (* a (+ a 3))) (* (+ 1 (pow a 3)) (* b b)))) (* (* (+ (- 1 a) (* a a)) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) (* b a)) a) 3)))) (* (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (+ (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4)))) (* (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) (* b a)) a) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 9 (* a a)) (* (+ 9 (* a (+ a 3))) (* (+ 1 (pow a 3)) (* b b)))) (* (* (+ (- 1 a) (* a a)) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) (* b a)) a) 3)))) (* (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (+ (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4)))) (* (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) (* b a)) a) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1473 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))))) (* (+ (* (+ 9 (* a (+ a 3))) (* (* (+ 1 (pow a 3)) (* b b)) (- 9 (* a a)))) (* (* (* a a) (- 27 (pow a 3))) (* (+ (- 1 a) (* a a)) (- 1 (* a a))))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))))) (* (+ (* (+ 9 (* a (+ a 3))) (* (* (+ 1 (pow a 3)) (* b b)) (- 9 (* a a)))) (* (* (* a a) (- 27 (pow a 3))) (* (+ (- 1 a) (* a a)) (- 1 (* a a))))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1474 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ 1 (pow a 3)) (* (* (* b b) (- 9 (* a a))) (+ 9 (* (+ a 3) a)))) (* (* (+ (- 1 a) (* a a)) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (+ a -1)) (+ 9 (* (+ a 3) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ (- 1 a) (* a a)) (* (- 27 (pow a 3)) (- (* a a) 1))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))) (+ 9 (* (+ a 3) a))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ 1 (pow a 3)) (* (* (* b b) (- 9 (* a a))) (+ 9 (* (+ a 3) a)))) (* (* (+ (- 1 a) (* a a)) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (+ a -1)) (+ 9 (* (+ a 3) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ (- 1 a) (* a a)) (* (- 27 (pow a 3)) (- (* a a) 1))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))) (+ 9 (* (+ a 3) a))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1475 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- a 1) (+ 3 a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ (- 1 a) (* a a)) (* (- 9 (* a a)) (+ (* a a) -1))) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (+ 9 (* a (+ a 3))))) (* (+ (* (* (+ 9 (* a (+ a 3))) (* (+ 1 (pow a 3)) (* b b))) (- 9 (* a a))) (* (* (* a a) (- 27 (pow a 3))) (* (+ (- 1 a) (* a a)) (- 1 (* a a))))) (* (* (* 4 (+ a 3)) (+ -1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ (- 1 a) (* a a)) (* (- 9 (* a a)) (+ (* a a) -1))) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (+ 9 (* a (+ a 3))))) (* (+ (* (* (+ 9 (* a (+ a 3))) (* (+ 1 (pow a 3)) (* b b))) (- 9 (* a a))) (* (* (* a a) (- 27 (pow a 3))) (* (+ (- 1 a) (* a a)) (- 1 (* a a))))) (* (* (* 4 (+ a 3)) (+ -1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1476 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ 9 (* a (+ a 3))))) (* (* (+ (- 1 a) (* a a)) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a))))) (* (* (+ 9 (* a (+ a 3))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3)) (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (* (* (- 27 (pow a 3)) (+ a 1)) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ 9 (* a (+ a 3))))) (* (* (+ (- 1 a) (* a a)) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a))))) (* (* (+ 9 (* a (+ a 3))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3)) (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (* (* (- 27 (pow a 3)) (+ a 1)) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1477 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (+ 3 a)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (166 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* (* (- 9 (* a a)) (+ a 1)) (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))))) (* (+ (* (* (+ 9 (* a (+ a 3))) (- 9 (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (* (* a a) (- 27 (pow a 3))) (* (+ (- 1 a) (* a a)) (- 1 (* a a))))) (* (* (+ a 3) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* (* (- 9 (* a a)) (+ a 1)) (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))))) (* (+ (* (* (+ 9 (* a (+ a 3))) (- 9 (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (* (* a a) (- 27 (pow a 3))) (* (+ (- 1 a) (* a a)) (- 1 (* a a))))) (* (* (+ a 3) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 1478 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (162 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 9 (* a (+ a 3))) (- 9 (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (* (+ (- 1 a) (* a a)) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a))))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (* (- 3 a) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 9 (* a (+ a 3))) (- 9 (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (* (+ (- 1 a) (* a a)) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a))))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (* (- 3 a) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 1479 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (- 3 a) (+ (* a a) -1))) (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))))) (* (+ (* (+ 1 (pow a 3)) (* (* (* b b) (- 9 (* a a))) (+ 9 (* a (+ a 3))))) (* (* (* a a) (- 27 (pow a 3))) (* (+ (- 1 a) (* a a)) (- 1 (* a a))))) (* (+ (* a 4) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (- 3 a) (+ (* a a) -1))) (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))))) (* (+ (* (+ 1 (pow a 3)) (* (* (* b b) (- 9 (* a a))) (+ 9 (* a (+ a 3))))) (* (* (* a a) (- 27 (pow a 3))) (* (+ (- 1 a) (* a a)) (- 1 (* a a))))) (* (+ (* a 4) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (- a 1))))) 1)) * * * * [misc]progress: [ 1480 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (+ (* (* (+ 9 (* (+ a 3) a)) (* (+ 1 (pow a 3)) (* b b))) (- 9 (* a a))) (* (* (* a a) (- 27 (pow a 3))) (* (+ (- 1 a) (* a a)) (- 1 (* a a)))))) (* (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (- 1 a) (* a a)) (+ 9 (* (+ a 3) a)))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (- 3 a) (+ a 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* 4 (+ (* (* (+ 9 (* (+ a 3) a)) (* (+ 1 (pow a 3)) (* b b))) (- 9 (* a a))) (* (* (* a a) (- 27 (pow a 3))) (* (+ (- 1 a) (* a a)) (- 1 (* a a)))))) (* (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (- 1 a) (* a a)) (+ 9 (* (+ a 3) a)))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (- 3 a) (+ a 1))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 1481 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ 9 (* (+ a 3) a)))) (* (* (+ (- 1 a) (* a a)) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (* (+ (- 1 a) (* a a)) (+ 9 (* (+ a 3) a))) (* (- 3 a) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ 9 (* (+ a 3) a)))) (* (* (+ (- 1 a) (* a a)) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (* (+ (- 1 a) (* a a)) (+ 9 (* (+ a 3) a))) (* (- 3 a) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* a a) (- (* 1 1) (* a 1)))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 1482 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (* (+ (* a a) -1) (* b b)) (+ 9 (* (+ a 3) a))) (- 9 (* a a))) (* (* (* a a) (- 27 (pow a 3))) (* (- a 1) (- 1 (* a a)))))) (* (* 4 (* (+ 9 (* (+ a 3) a)) (+ (* a a) (- 1 a)))) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (+ (pow a 3) 1) (- 27 (pow a 3)))) (* (* (+ 9 (* (+ a 3) a)) (- a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (* (+ (* a a) -1) (* b b)) (+ 9 (* (+ a 3) a))) (- 9 (* a a))) (* (* (* a a) (- 27 (pow a 3))) (* (- a 1) (- 1 (* a a)))))) (* (* 4 (* (+ 9 (* (+ a 3) a)) (+ (* a a) (- 1 a)))) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (+ (pow a 3) 1) (- 27 (pow a 3)))) (* (* (+ 9 (* (+ a 3) a)) (- a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1483 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 9 (* a (+ a 3))) (- (* a a) 1)) (* (- 9 (* a a)) (* b b))) (* (* (+ -1 a) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a)))))) (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (+ 9 (* a (+ a 3))) (+ -1 a)) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 9 (* a (+ a 3))) (- (* a a) 1)) (* (- 9 (* a a)) (* b b))) (* (* (+ -1 a) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a)))))) (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (+ 9 (* a (+ a 3))) (+ -1 a)) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1484 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ a -1) (+ 9 (* a (+ a 3))))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* a a) -1) (* b b)) (* (- 9 (* a a)) (+ 9 (* a (+ a 3))))) (* (* (+ a -1) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a)))))) (* (* 4 (* (+ a -1) (+ 9 (* a (+ a 3))))) (+ (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ a -1) (+ 9 (* a (+ a 3))))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* a a) -1) (* b b)) (* (- 9 (* a a)) (+ 9 (* a (+ a 3))))) (* (* (+ a -1) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a)))))) (* (* 4 (* (+ a -1) (+ 9 (* a (+ a 3))))) (+ (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1485 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (- 9 (* a a)) (- (* a a) 1)) (* (+ 9 (* a (+ a 3))) (- a 1))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- 9 (* a a)) (* (* (- (* a a) 1) (* b b)) (+ 9 (* a (+ a 3))))) (* (* (* a a) (- 27 (pow a 3))) (* (- a 1) (- 1 (* a a)))))) (* (* 4 (* (+ a 3) (- a 1))) (+ (* (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (* b 2) (* b (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (- 9 (* a a)) (- (* a a) 1)) (* (+ 9 (* a (+ a 3))) (- a 1))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- 9 (* a a)) (* (* (- (* a a) 1) (* b b)) (+ 9 (* a (+ a 3))))) (* (* (* a a) (- 27 (pow a 3))) (* (- a 1) (- 1 (* a a)))))) (* (* 4 (* (+ a 3) (- a 1))) (+ (* (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (* b 2) (* b (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1486 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 27 (pow a 3)) (+ a 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (+ 9 (* a (+ a 3))) (+ a -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ (* a a) -1) (* b b)) (* (- 9 (* a a)) (+ 9 (* a (+ a 3))))) (* (* (* a a) (- 27 (pow a 3))) (* (+ a -1) (- 1 (* a a)))))) (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 27 (pow a 3)) (+ a 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (+ 9 (* a (+ a 3))) (+ a -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ (* a a) -1) (* b b)) (* (- 9 (* a a)) (+ 9 (* a (+ a 3))))) (* (* (* a a) (- 27 (pow a 3))) (* (+ a -1) (- 1 (* a a)))))) (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1487 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ 9 (* a (+ a 3))) (+ -1 a)) (* (+ a 1) (- 9 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (- (* a a) 1) (* b b)) (+ 9 (* a (+ a 3)))) (- 9 (* a a))) (* (* (+ -1 a) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a)))))) (* (* 4 (+ a 3)) (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ 9 (* a (+ a 3))) (+ -1 a)) (* (+ a 1) (- 9 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (- (* a a) 1) (* b b)) (+ 9 (* a (+ a 3)))) (- 9 (* a a))) (* (* (+ -1 a) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a)))))) (* (* 4 (+ a 3)) (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1488 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (+ (* (- 9 (* a a)) (* (* (- (* a a) 1) (* b b)) (+ 9 (* (+ a 3) a)))) (* (* (- a 1) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3)))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (* (- 3 a) (+ 1 (pow a 3)))) (* (* (+ 9 (* (+ a 3) a)) (- a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (+ (* (- 9 (* a a)) (* (* (- (* a a) 1) (* b b)) (+ 9 (* (+ a 3) a)))) (* (* (- a 1) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3)))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (* (- 3 a) (+ 1 (pow a 3)))) (* (* (+ 9 (* (+ a 3) a)) (- a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1489 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (* (* (+ 9 (* a (+ a 3))) (+ a -1)) (* (- 3 a) (- (* a a) 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (- (* a a) 1) (* b b)) (* (- 9 (* a a)) (+ 9 (* a (+ a 3))))) (* (* (* a a) (- 27 (pow a 3))) (* (+ a -1) (- 1 (* a a)))))) (* (* 4 (+ a -1)) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (* (* (+ 9 (* a (+ a 3))) (+ a -1)) (* (- 3 a) (- (* a a) 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (* (- (* a a) 1) (* b b)) (* (- 9 (* a a)) (+ 9 (* a (+ a 3))))) (* (* (* a a) (- 27 (pow a 3))) (* (+ a -1) (- 1 (* a a)))))) (* (* 4 (+ a -1)) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1490 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3))))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (- 9 (* a a)) (* (* (- (* a a) 1) (* b b)) (+ 9 (* a (+ a 3))))) (* (* (* a a) (- 27 (pow a 3))) (* (+ a -1) (- 1 (* a a)))))) (* (* (* (+ 9 (* a (+ a 3))) (+ a -1)) (* (- 27 (pow a 3)) (+ (pow a 3) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3))))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (- 9 (* a a)) (* (* (- (* a a) 1) (* b b)) (+ 9 (* a (+ a 3))))) (* (* (* a a) (- 27 (pow a 3))) (* (+ a -1) (- 1 (* a a)))))) (* (* (* (+ 9 (* a (+ a 3))) (+ a -1)) (* (- 27 (pow a 3)) (+ (pow a 3) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1491 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (* (+ 9 (* a (+ a 3))) (+ a -1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (+ 9 (* a (+ a 3))) (- (* a a) 1)) (* (- 9 (* a a)) (* b b))) (* (* (+ a -1) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a))))) (* (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (* (+ 9 (* a (+ a 3))) (+ a -1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (+ 9 (* a (+ a 3))) (- (* a a) 1)) (* (- 9 (* a a)) (* b b))) (* (* (+ a -1) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a))))) (* (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1492 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (164 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ a -1) (+ 9 (* a (+ a 3)))) (* (- (* a a) 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a)))))) (* (+ (* (- (* a a) 1) (* (* (- 9 (* a a)) (* b b)) (+ 9 (* a (+ a 3))))) (* (* (+ a -1) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3))))) (* (* (* (+ a -1) (+ 9 (* a (+ a 3)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ a -1) (+ 9 (* a (+ a 3)))) (* (- (* a a) 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a)))))) (* (+ (* (- (* a a) 1) (* (* (- 9 (* a a)) (* b b)) (+ 9 (* a (+ a 3))))) (* (* (+ a -1) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3))))) (* (* (* (+ a -1) (+ 9 (* a (+ a 3)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) 4)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1493 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (+ 9 (* a (+ a 3))) (+ a -1))) (* (* (- 9 (* a a)) (- (* a a) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (+ 9 (* a (+ a 3))) (* (* (- (* a a) 1) (* b b)) (- 9 (* a a)))) (* (* (+ a -1) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (* (+ a -1) (+ a 3))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (+ 9 (* a (+ a 3))) (+ a -1))) (* (* (- 9 (* a a)) (- (* a a) 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (+ 9 (* a (+ a 3))) (* (* (- (* a a) 1) (* b b)) (- 9 (* a a)))) (* (* (+ a -1) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (* (+ a -1) (+ a 3))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1494 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (164 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))) (* (* (+ a 1) (- 27 (pow a 3))) (* (+ 9 (* a (+ a 3))) (+ a -1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (- 9 (* a a)) (* (* (- (* a a) 1) (* b b)) (+ 9 (* a (+ a 3))))) (* (* (+ a -1) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))) (* (* (+ a 1) (- 27 (pow a 3))) (* (+ 9 (* a (+ a 3))) (+ a -1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (- 9 (* a a)) (* (* (- (* a a) 1) (* b b)) (+ 9 (* a (+ a 3))))) (* (* (+ a -1) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1495 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* a a) -1) (* (* (* b b) (- 9 (* a a))) (+ 9 (* a (+ a 3))))) (* (* (+ -1 a) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a))))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* 2 a))) 3)))) (* (* (* (+ a 1) (- 9 (* a a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))) (* (* (+ 9 (* a (+ a 3))) (+ -1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* 2 a))) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* a a) -1) (* (* (* b b) (- 9 (* a a))) (+ 9 (* a (+ a 3))))) (* (* (+ -1 a) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a))))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* 2 a))) 3)))) (* (* (* (+ a 1) (- 9 (* a a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))) (* (* (+ 9 (* a (+ a 3))) (+ -1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b b) (* 2 a))) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1496 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (+ 9 (* a (+ a 3))) (+ -1 a))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a))))) (* (+ (pow a 3) 1) (- 3 a)))) (* (+ (* (* (+ (* a a) -1) (* b b)) (* (- 9 (* a a)) (+ 9 (* a (+ a 3))))) (* (* (+ -1 a) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (+ 9 (* a (+ a 3))) (+ -1 a))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a))))) (* (+ (pow a 3) 1) (- 3 a)))) (* (+ (* (* (+ (* a a) -1) (* b b)) (* (- 9 (* a a)) (+ 9 (* a (+ a 3))))) (* (* (+ -1 a) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1497 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 9 (* a (+ a 3))) (+ -1 a)) (* (- (* a a) 1) (- 3 a))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (- (* a a) 1) (* (* (- 9 (* a a)) (* b b)) (+ 9 (* a (+ a 3))))) (* (* (+ -1 a) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (+ -1 a)) (- (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 9 (* a (+ a 3))) (+ -1 a)) (* (- (* a a) 1) (- 3 a))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (- (* a a) 1) (* (* (- 9 (* a a)) (* b b)) (+ 9 (* a (+ a 3))))) (* (* (+ -1 a) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (+ -1 a)) (- (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1498 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (157 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (- (* a a) 1) (* b b)) (+ 9 (* a (+ a 3)))) (- 9 (* a a))) (* (* (+ -1 a) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (- 27 (pow a 3)) (+ (pow a 3) 1))) (* (+ 9 (* a (+ a 3))) (+ -1 a))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (- (* a a) 1) (* b b)) (+ 9 (* a (+ a 3)))) (- 9 (* a a))) (* (* (+ -1 a) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (- 27 (pow a 3)) (+ (pow a 3) 1))) (* (+ 9 (* a (+ a 3))) (+ -1 a))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1499 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (162 enodes) * [exit]simplify: Simplified to (+ (* (+ 9 (* a (+ a 3))) (* (* (* (+ a -1) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (+ 9 (* a (+ a 3))) (- 9 (* a a))) (* (+ (* a a) -1) (* b b))) (* (* (+ a -1) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ 9 (* a (+ a 3))) (* (* (* (+ a -1) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (+ 9 (* a (+ a 3))) (- 9 (* a a))) (* (+ (* a a) -1) (* b b))) (* (* (+ a -1) (- 1 (* a a))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1500 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (143 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 9 (* a a)) (* (* (- (* a a) 1) (* b b)) (+ 9 (* a (+ a 3))))) (* (* (* a a) (- 27 (pow a 3))) (* (+ a -1) (- 1 (* a a))))) (* (* (* 4 (+ a -1)) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 9 (* a (+ a 3))) (+ a -1))) (* (* (- (* a a) 1) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 9 (* a a)) (* (* (- (* a a) 1) (* b b)) (+ 9 (* a (+ a 3))))) (* (* (* a a) (- 27 (pow a 3))) (* (+ a -1) (- 1 (* a a))))) (* (* (* 4 (+ a -1)) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 9 (* a (+ a 3))) (+ a -1))) (* (* (- (* a a) 1) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1501 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- a 1) (+ 3 a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (150 enodes) * [exit]simplify: Simplified to (+ (* (* (+ 9 (* a (+ a 3))) (+ a -1)) (* (* (* (- (* a a) 1) (- 9 (* a a))) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (+ 9 (* a (+ a 3))) (- (* a a) 1)) (* (- 9 (* a a)) (* b b))) (* (* (+ a -1) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a))))) (* (* 4 (* (+ a 3) (+ a -1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ 9 (* a (+ a 3))) (+ a -1)) (* (* (* (- (* a a) 1) (- 9 (* a a))) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (+ 9 (* a (+ a 3))) (- (* a a) 1)) (* (- 9 (* a a)) (* b b))) (* (* (+ a -1) (- 27 (pow a 3))) (* (* a a) (- 1 (* a a))))) (* (* 4 (* (+ a 3) (+ a -1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1502 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (143 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 9 (* a a)) (* (* (- (* a a) 1) (* b b)) (+ 9 (* a (+ a 3))))) (* (* (* a a) (- 27 (pow a 3))) (* (+ a -1) (- 1 (* a a))))) (* (* 4 (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ 9 (* a (+ a 3))) (* (* (* (+ a -1) (* (+ a 1) (- 27 (pow a 3)))) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 9 (* a a)) (* (* (- (* a a) 1) (* b b)) (+ 9 (* a (+ a 3))))) (* (* (* a a) (- 27 (pow a 3))) (* (+ a -1) (- 1 (* a a))))) (* (* 4 (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ 9 (* a (+ a 3))) (* (* (* (+ a -1) (* (+ a 1) (- 27 (pow a 3)))) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1503 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (+ 3 a)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (148 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 9 (* a (+ a 3))) (+ a -1)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))) (* (+ a 1) (- 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3))) (* (+ (* (* (+ 9 (* a (+ a 3))) (- 9 (* a a))) (* (- (* a a) 1) (* b b))) (* (* (* a a) (- 27 (pow a 3))) (* (+ a -1) (- 1 (* a a))))) (* (+ 12 (* a 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 9 (* a (+ a 3))) (+ a -1)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))) (* (+ a 1) (- 9 (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3))) (* (+ (* (* (+ 9 (* a (+ a 3))) (- 9 (* a a))) (* (- (* a a) 1) (* b b))) (* (* (* a a) (- 27 (pow a 3))) (* (+ a -1) (- 1 (* a a))))) (* (+ 12 (* a 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (+ 3 a))))) 1)) * * * * [misc]progress: [ 1504 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (155 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 9 (* a (+ a 3))) (- (* a a) 1)) (* (- 9 (* a a)) (* b b))) (* (* (* a a) (- 27 (pow a 3))) (* (+ a -1) (- 1 (* a a))))) (* (* (+ (* a a) (- 1 a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (- 3 a) (+ 1 (pow a 3)))) (* (+ 9 (* a (+ a 3))) (+ a -1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 9 (* a (+ a 3))) (- (* a a) 1)) (* (- 9 (* a a)) (* b b))) (* (* (* a a) (- 27 (pow a 3))) (* (+ a -1) (- 1 (* a a))))) (* (* (+ (* a a) (- 1 a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (- 3 a) (+ 1 (pow a 3)))) (* (+ 9 (* a (+ a 3))) (+ a -1))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 1505 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 9 (* a (+ a 3))) (+ (* a a) -1)) (* (- 9 (* a a)) (* b b))) (* (* (* a a) (- 27 (pow a 3))) (* (+ -1 a) (- 1 (* a a))))) (* (* 4 (+ -1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 9 (* a (+ a 3))) (+ -1 a)) (* (* (+ (* a a) -1) (- 3 a)) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 9 (* a (+ a 3))) (+ (* a a) -1)) (* (- 9 (* a a)) (* b b))) (* (* (* a a) (- 27 (pow a 3))) (* (+ -1 a) (- 1 (* a a))))) (* (* 4 (+ -1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 9 (* a (+ a 3))) (+ -1 a)) (* (* (+ (* a a) -1) (- 3 a)) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (- a 1))))) 1)) * * * * [misc]progress: [ 1506 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 3 a) (+ a 1))) (* (* (+ 9 (* a (+ a 3))) (+ a -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* (* (+ 9 (* a (+ a 3))) (- (* a a) 1)) (* (- 9 (* a a)) (* b b))) (* (* (* a a) (- 27 (pow a 3))) (* (+ a -1) (- 1 (* a a))))) 4) (* (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 3 a) (+ a 1))) (* (* (+ 9 (* a (+ a 3))) (+ a -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* (* (+ 9 (* a (+ a 3))) (- (* a a) 1)) (* (- 9 (* a a)) (* b b))) (* (* (* a a) (- 27 (pow a 3))) (* (+ a -1) (- 1 (* a a))))) 4) (* (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 1507 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ (* 3 3) (+ (* a a) (* 3 a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (157 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (* (* (- 3 a) (+ a 1)) (* (+ 9 (* a (+ a 3))) (+ -1 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (+ 9 (* a (+ a 3))) (- 9 (* a a))) (* (- (* a a) 1) (* b b))) (* (* (* a a) (- 27 (pow a 3))) (* (+ -1 a) (- 1 (* a a))))) (* (* 4 (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (* (* (- 3 a) (+ a 1)) (* (+ 9 (* a (+ a 3))) (+ -1 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (* (+ 9 (* a (+ a 3))) (- 9 (* a a))) (* (- (* a a) 1) (* b b))) (* (* (* a a) (- 27 (pow a 3))) (* (+ -1 a) (- 1 (* a a))))) (* (* 4 (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (- a 1)) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 1508 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* a a) (- 1 a))) (* (* (- 1 (* a a)) (* a a)) (- 9 (* a a)))) (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))) (* (* 4 (* (+ (* a (+ a 3)) 9) (+ (* a a) (- 1 a)))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ a 3) (+ (* a a) (- 1 a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* a a) (- 1 a))) (* (* (- 1 (* a a)) (* a a)) (- 9 (* a a)))) (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))) (* (* 4 (* (+ (* a (+ a 3)) 9) (+ (* a a) (- 1 a)))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ a 3) (+ (* a a) (- 1 a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1509 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (205 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* a a) (- 1 a))) (* (* (- 1 (* a a)) (- 9 (* a a))) (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ 1 (pow a 3)))))) (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ a 3) (+ (* a a) (- 1 a)))) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* a a) (- 1 a))) (* (* (- 1 (* a a)) (- 9 (* a a))) (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ 1 (pow a 3)))))) (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ a 3) (+ (* a a) (- 1 a)))) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1510 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (228 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (- 1 (* a a)) (+ (* a a) (- 1 a))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (* a a) (- 9 (* a a)))) (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))) (* (* 4 (* (- a 1) (+ 9 (* a (+ a 3))))) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (- 1 (* a a)) (+ (* a a) (- 1 a))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (* a a) (- 9 (* a a)))) (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))) (* (* 4 (* (- a 1) (+ 9 (* a (+ a 3))))) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1511 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (213 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (- (* a a) 1) (- 9 (* a a))) (* (+ (+ 81 (pow a 4)) (* (* a 9) a)) (* (+ a 3) (+ (* a a) (- 1 a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ (+ 81 (pow a 4)) (* (* a 9) a)) (+ (* a a) (- 1 a))) (* (- 9 (* a a)) (* (- 1 (* a a)) (* a a)))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ 1 (pow a 3)))))) (* (* 4 (* (- a 1) (+ a 3))) (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (- (* a a) 1) (- 9 (* a a))) (* (+ (+ 81 (pow a 4)) (* (* a 9) a)) (* (+ a 3) (+ (* a a) (- 1 a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ (+ 81 (pow a 4)) (* (* a 9) a)) (+ (* a a) (- 1 a))) (* (- 9 (* a a)) (* (- 1 (* a a)) (* a a)))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ 1 (pow a 3)))))) (* (* 4 (* (- a 1) (+ a 3))) (+ (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1512 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (220 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* a a) (- 1 a))) (* (* a a) (* (- 9 (* a a)) (- 1 (* a a))))) (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (- 27 (pow a 3)) (+ 1 a)) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ a 3) (+ (* a a) (- 1 a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* a a) (- 1 a))) (* (* a a) (* (- 9 (* a a)) (- 1 (* a a))))) (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (- 27 (pow a 3)) (+ 1 a)) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ a 3) (+ (* a a) (- 1 a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1513 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* a a) (- 1 a))) (* (* (* a a) (- 9 (* a a))) (- 1 (* a a)))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ 1 (pow a 3)))))) (* (* 4 (+ a 3)) (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (+ 1 a) (- 9 (* a a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ a 3) (+ (* a a) (- 1 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* a a) (- 1 a))) (* (* (* a a) (- 9 (* a a))) (- 1 (* a a)))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ 1 (pow a 3)))))) (* (* 4 (+ a 3)) (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (+ 1 a) (- 9 (* a a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ a 3) (+ (* a a) (- 1 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1514 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ a 3) (+ (* a a) (- 1 a))))) (* (* (- 3 a) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* a a) (- 1 a))) (* (* (* a a) (- 9 (* a a))) (- 1 (* a a)))) (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ a 3) (+ (* a a) (- 1 a))))) (* (* (- 3 a) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* a a) (- 1 a))) (* (* (* a a) (- 9 (* a a))) (- 1 (* a a)))) (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1515 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (203 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* a a) (- 1 a))) (* (* (- 1 (* a a)) (- 9 (* a a))) (* a a))) (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))) (* (* 4 (- a 1)) (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ a 3) (+ (* a a) (- 1 a)))) (* (- 3 a) (+ (* a a) -1))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* a a) (- 1 a))) (* (* (- 1 (* a a)) (- 9 (* a a))) (* a a))) (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3)))))) (* (* 4 (- a 1)) (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ a 3) (+ (* a a) (- 1 a)))) (* (- 3 a) (+ (* a a) -1))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1516 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (* (+ (* (* (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (* (* (+ a 3) (+ (* a a) (- 1 a))) (+ (+ 81 (pow a 4)) (* (* a 9) a))))) (* (+ (* (* (+ (+ 81 (pow a 4)) (* (* a 9) a)) (+ (* a a) (- 1 a))) (* (- 9 (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3))))) (* (* (* (+ (* a (+ a 3)) 9) (+ (* a a) (- 1 a))) (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) 4))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (* (* (+ a 3) (+ (* a a) (- 1 a))) (+ (+ 81 (pow a 4)) (* (* a 9) a))))) (* (+ (* (* (+ (+ 81 (pow a 4)) (* (* a 9) a)) (+ (* a a) (- 1 a))) (* (- 9 (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3))))) (* (* (* (+ (* a (+ a 3)) 9) (+ (* a a) (- 1 a))) (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) 4))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1517 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* a a) (- 1 a))) (* (* (* a a) (- 9 (* a a))) (- 1 (* a a)))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))))) (* (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b)))))) (* (* (* (+ a 3) (+ (* a a) (- 1 a))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* a a) (- 1 a))) (* (* (* a a) (- 9 (* a a))) (- 1 (* a a)))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))))) (* (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b)))))) (* (* (* (+ a 3) (+ (* a a) (- 1 a))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1518 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* a a) (- 1 a))) (* (* (* a a) (- 9 (* a a))) (- 1 (* a a)))) (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (+ (* a (+ a 3)) 9) (+ -1 a))) 4)) (* (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ a 3) (+ (* a a) (- 1 a)))) (* (+ (* a a) -1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (+ (* a a) (- 1 a))) (* (* (* a a) (- 9 (* a a))) (- 1 (* a a)))) (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (+ (* a (+ a 3)) 9) (+ -1 a))) 4)) (* (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ a 3) (+ (* a a) (- 1 a)))) (* (+ (* a a) -1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1519 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* a a) (- 1 a))) (* (* (- 1 (* a a)) (* a a)) (- 9 (* a a)))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))))) (* (* (* 4 (* (- a 1) (+ a 3))) (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (* a a) -1) (- 9 (* a a))) (* (* (+ a 3) (+ (* a a) (- 1 a))) (+ (+ 81 (pow a 4)) (* (* a a) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* a a) (- 1 a))) (* (* (- 1 (* a a)) (* a a)) (- 9 (* a a)))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))))) (* (* (* 4 (* (- a 1) (+ a 3))) (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (* a a) -1) (- 9 (* a a))) (* (* (+ a 3) (+ (* a a) (- 1 a))) (+ (+ 81 (pow a 4)) (* (* a a) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1520 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ a 3) (+ (* a a) (- 1 a))) (+ (+ 81 (pow a 4)) (* (* a 9) a)))) (* (+ (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4))) (* (- (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a))) (* (+ 1 a) (- 27 (pow a 3)))))) (* (+ (* (* (+ (+ 81 (pow a 4)) (* (* a 9) a)) (+ (* a a) (- 1 a))) (* (* (- 1 (* a a)) (- 9 (* a a))) (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (- (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ a 3) (+ (* a a) (- 1 a))) (+ (+ 81 (pow a 4)) (* (* a 9) a)))) (* (+ (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4))) (* (- (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a))) (* (+ 1 a) (- 27 (pow a 3)))))) (* (+ (* (* (+ (+ 81 (pow a 4)) (* (* a 9) a)) (+ (* a a) (- 1 a))) (* (* (- 1 (* a a)) (- 9 (* a a))) (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (- (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1521 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ (* a a) (- 1 a)))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (- 9 (* a a)) (+ 1 a)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b)))))) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ a 3) (+ (* a a) (- 1 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ (* a a) (- 1 a)))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (- 9 (* a a)) (+ 1 a)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b)))))) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ a 3) (+ (* a a) (- 1 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1522 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ a 3)) (* (* (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (+ (* a a) (- 1 a))) (* (- 3 a) (+ 1 (pow a 3)))) (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))))) (* (+ (* (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (+ (* a a) (- 1 a))) (* (- 9 (* a a)) (* (- 1 (* a a)) (* a a)))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))))) (* (* (* 4 (+ (* a a) (- 1 a))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ a 3)) (* (* (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (+ (* a a) (- 1 a))) (* (- 3 a) (+ 1 (pow a 3)))) (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))))) (* (+ (* (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (+ (* a a) (- 1 a))) (* (- 9 (* a a)) (* (- 1 (* a a)) (* a a)))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))))) (* (* (* 4 (+ (* a a) (- 1 a))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1523 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (* (+ a 3) (+ (* a a) (- 1 a)))) (* (+ (* a a) -1) (- 3 a))) (* (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (+ (* (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ (* a a) (- 1 a)))) (+ (* (* a a) 9) (+ (pow a 4) 81))) (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3))))) (* (* (* 4 (- a 1)) (- (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (* (+ a 3) (+ (* a a) (- 1 a)))) (* (+ (* a a) -1) (- 3 a))) (* (+ (* (* b (* b 2)) (* a a)) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (+ (* (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ (* a a) (- 1 a)))) (+ (* (* a a) 9) (+ (pow a 4) 81))) (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3))))) (* (* (* 4 (- a 1)) (- (+ (pow b 4) (pow a 4)) (* (* b (* b 2)) (* a a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1524 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (* (+ a 3) (+ (* a a) (- 1 a))))) (* (+ (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (+ 1 (pow a 3)) (- 27 (pow a 3))))) (* (+ (* (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (+ (* a a) (- 1 a))) (* (- 9 (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (* (+ a 3) (+ (* a a) (- 1 a))))) (* (+ (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (+ 1 (pow a 3)) (- 27 (pow a 3))))) (* (+ (* (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (+ (* a a) (- 1 a))) (* (- 9 (* a a)) (* (- 1 (* a a)) (* a a)))) (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1525 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (+ 81 (pow a 4)) (* (* a 9) a)) (+ (* a a) (- 1 a))) (* (* a a) (* (- 9 (* a a)) (- 1 (* a a))))) (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (* (* (+ a 3) (+ (* a a) (- 1 a))) (+ (+ 81 (pow a 4)) (* (* a 9) a)))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (+ 81 (pow a 4)) (* (* a 9) a)) (+ (* a a) (- 1 a))) (* (* a a) (* (- 9 (* a a)) (- 1 (* a a))))) (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (* (* (+ a 3) (+ (* a a) (- 1 a))) (+ (+ 81 (pow a 4)) (* (* a 9) a)))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1526 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ (* a a) (- 1 a)))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))))) (* (* (* 4 (- a 1)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ a 3) (+ (* a a) (- 1 a)))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ (* a a) (- 1 a)))) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))))) (* (* (* 4 (- a 1)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ a 3) (+ (* a a) (- 1 a)))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1527 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ 3 a))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (184 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ a 3)) (* (* (* (+ (+ 81 (pow a 4)) (* a (* a 9))) (+ (* a a) (- 1 a))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (- 9 (* a a)) (- (* a a) 1)))) (* (+ (* (* (+ (+ 81 (pow a 4)) (* a (* a 9))) (+ (* a a) (- 1 a))) (* (* a a) (* (- 9 (* a a)) (- 1 (* a a))))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))))) (* (* 4 (* (- a 1) (+ a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ a 3)) (* (* (* (+ (+ 81 (pow a 4)) (* a (* a 9))) (+ (* a a) (- 1 a))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (- 9 (* a a)) (- (* a a) 1)))) (* (+ (* (* (+ (+ 81 (pow a 4)) (* a (* a 9))) (+ (* a a) (- 1 a))) (* (* a a) (* (- 9 (* a a)) (- 1 (* a a))))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))))) (* (* 4 (* (- a 1) (+ a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1528 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ a 3)) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* a a) (- 1 a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (- 27 (pow a 3)) (+ 1 a))))) (* (+ (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* a a) (- 1 a))) (* (* (* a a) (- 9 (* a a))) (- 1 (* a a)))) (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3))))) (* (+ 36 (* 4 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ a 3)) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* a a) (- 1 a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (- 27 (pow a 3)) (+ 1 a))))) (* (+ (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* a a) (- 1 a))) (* (* (* a a) (- 9 (* a a))) (- 1 (* a a)))) (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3))))) (* (+ 36 (* 4 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1529 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ 3 a)) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (+ 81 (pow a 4)) (* (* a 9) a)) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ (* a a) (- 1 a))))) (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3))))) (* (+ 12 (* 4 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (* (- 9 (* a a)) (+ 1 a)))) (* (* (+ a 3) (+ (* a a) (- 1 a))) (+ (+ 81 (pow a 4)) (* (* a 9) a))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (+ 81 (pow a 4)) (* (* a 9) a)) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ (* a a) (- 1 a))))) (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3))))) (* (+ 12 (* 4 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (* (- 9 (* a a)) (+ 1 a)))) (* (* (+ a 3) (+ (* a a) (- 1 a))) (+ (+ 81 (pow a 4)) (* (* a 9) a))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 1530 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ (* a a) (- 1 a))))) (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3))))) (* (* 4 (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ 1 (pow a 3)) (- 3 a)))) (* (* (+ a 3) (+ (* a a) (- 1 a))) (+ (* (* a a) 9) (+ (pow a 4) 81))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ (* a a) (- 1 a))))) (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 729 (* (pow a 3) (pow a 3))))) (* (* 4 (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ 1 (pow a 3)) (- 3 a)))) (* (* (+ a 3) (+ (* a a) (- 1 a))) (+ (* (* a a) 9) (+ (pow a 4) 81))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 1531 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- a 1)) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))) (* (- 3 a) (+ (* a a) -1)))) (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (* (+ a 3) (+ (* a a) (- 1 a))))) (* (+ (* (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ (* a a) (- 1 a)))) (+ (* (* a a) 9) (+ (pow a 4) 81))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))))) (* (* (- a 1) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))) (* (- 3 a) (+ (* a a) -1)))) (* (+ (* (* a a) 9) (+ (pow a 4) 81)) (* (+ a 3) (+ (* a a) (- 1 a))))) (* (+ (* (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ (* a a) (- 1 a)))) (+ (* (* a a) 9) (+ (pow a 4) 81))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))))) (* (* (- a 1) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (- a 1))))) 1)) * * * * [misc]progress: [ 1532 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (+ 1 a) (- 3 a)) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ a 3) (+ (* a a) (- 1 a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* 4 (+ (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* a a) (- 1 a))) (* (* (- 1 (* a a)) (* a a)) (- 9 (* a a)))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ 1 (pow a 3)))))) (* (+ (* (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* 2 (* (* a a) (* b b)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (+ 1 a) (- 3 a)) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ a 3) (+ (* a a) (- 1 a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* 4 (+ (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* a a) (- 1 a))) (* (* (- 1 (* a a)) (* a a)) (- 9 (* a a)))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ 1 (pow a 3)))))) (* (+ (* (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* 2 (* (* a a) (* b b)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 1533 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (188 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* a a) (- 1 a))) (* (* (- 1 (* a a)) (* a a)) (- 9 (* a a)))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))))) (* (* 4 (- (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (- (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (* (- 3 a) (+ 1 a)) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ a 3) (+ (* a a) (- 1 a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (+ (* a a) (- 1 a))) (* (* (- 1 (* a a)) (* a a)) (- 9 (* a a)))) (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))))) (* (* 4 (- (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (- (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (* (- 3 a) (+ 1 a)) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ a 3) (+ (* a a) (- 1 a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 1534 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ a 3)) (* (* (* (+ (* a a) (- 1 a)) (+ 9 (* a a))) (* (- 27 (pow a 3)) (+ 1 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 81 (pow a 4)) (+ a 3))) (* (- 1 (* a a)) (* (* (* a a) (- 9 (* a a))) (* (+ (* a a) (- 1 a)) (+ 9 (* a a))))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3))))) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ a 3)) (* (* (* (+ (* a a) (- 1 a)) (+ 9 (* a a))) (* (- 27 (pow a 3)) (+ 1 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 81 (pow a 4)) (+ a 3))) (* (- 1 (* a a)) (* (* (* a a) (- 9 (* a a))) (* (+ (* a a) (- 1 a)) (+ 9 (* a a))))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3))))) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1535 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (+ (* a a) 9) (* (+ a 3) (+ (* a a) (- 1 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 81 (pow a 4)) (+ a 3))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* a a) (- 9 (* a a)))) (- 1 (* a a))))) (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (+ (* a a) 9) (* (+ a 3) (+ (* a a) (- 1 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 81 (pow a 4)) (+ a 3))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* a a) (- 9 (* a a)))) (- 1 (* a a))))) (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1536 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (213 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 81 (pow a 4))) (* (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ (* a a) (- 1 a)))) (+ (* a a) 9)))) (* (* 4 (* (+ 9 (* a (+ a 3))) (- a 1))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ a 3) (+ (* a a) (- 1 a))) (+ (* a a) 9))) (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ (* a a) -1) (- 27 (pow a 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 81 (pow a 4))) (* (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ (* a a) (- 1 a)))) (+ (* a a) 9)))) (* (* 4 (* (+ 9 (* a (+ a 3))) (- a 1))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ a 3) (+ (* a a) (- 1 a))) (+ (* a a) 9))) (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ (* a a) -1) (- 27 (pow a 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1537 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (* (* (+ a 3) (+ (* a a) (- 1 a))) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 81 (pow a 4)) (+ a 3))) (* (- 1 (* a a)) (* (* (* a a) (- 9 (* a a))) (* (+ (* a a) (- 1 a)) (+ (* a a) 9)))))) (* (* 4 (* (- a 1) (+ a 3))) (+ (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (* (* (+ a 3) (+ (* a a) (- 1 a))) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 81 (pow a 4)) (+ a 3))) (* (- 1 (* a a)) (* (* (* a a) (- 9 (* a a))) (* (+ (* a a) (- 1 a)) (+ (* a a) 9)))))) (* (* 4 (* (- a 1) (+ a 3))) (+ (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1538 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (205 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 27 (pow a 3)) (+ 1 a))) (* (* (* (+ a 3) (+ (* a a) (- 1 a))) (+ (* a a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 81 (pow a 4)) (+ a 3))) (* (- 1 (* a a)) (* (* (* a a) (- 9 (* a a))) (* (+ (* a a) (- 1 a)) (+ (* a a) 9)))))) (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 27 (pow a 3)) (+ 1 a))) (* (* (* (+ a 3) (+ (* a a) (- 1 a))) (+ (* a a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 81 (pow a 4)) (+ a 3))) (* (- 1 (* a a)) (* (* (* a a) (- 9 (* a a))) (* (+ (* a a) (- 1 a)) (+ (* a a) 9)))))) (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1539 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (- 9 (* a a)) (+ 1 a))) (* (* (* (+ a 3) (+ (* a a) 9)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- 81 (pow a 4)) (* (* (+ a 3) (* b b)) (+ 1 (pow a 3)))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* a a) (- 9 (* a a)))) (- 1 (* a a))))) (* (* 4 (+ a 3)) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (- 9 (* a a)) (+ 1 a))) (* (* (* (+ a 3) (+ (* a a) 9)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- 81 (pow a 4)) (* (* (+ a 3) (* b b)) (+ 1 (pow a 3)))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* a a) (- 9 (* a a)))) (- 1 (* a a))))) (* (* 4 (+ a 3)) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1540 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (188 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* a a) (- 1 a)) (* (+ (* a a) 9) (+ a 3)))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (- 3 a) (+ 1 (pow a 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 81 (pow a 4)) (+ a 3))) (* (+ (* a a) 9) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ (* a a) (- 1 a))))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* a a) (- 1 a)) (* (+ (* a a) 9) (+ a 3)))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (- 3 a) (+ 1 (pow a 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 81 (pow a 4)) (+ a 3))) (* (+ (* a a) 9) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ (* a a) (- 1 a))))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1541 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a a) 9) (* (+ a 3) (+ (* a a) (- 1 a))))) (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 3 a) (+ (* a a) -1)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 81 (pow a 4)) (+ a 3))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (- 9 (* a a))) (* (- 1 (* a a)) (* a a))))) (* (* 4 (+ -1 a)) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a a) 9) (* (+ a 3) (+ (* a a) (- 1 a))))) (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 3 a) (+ (* a a) -1)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 81 (pow a 4)) (+ a 3))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (- 9 (* a a))) (* (- 1 (* a a)) (* a a))))) (* (* 4 (+ -1 a)) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1542 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (+ a 3) (+ 1 (pow a 3))) (* (- 81 (pow a 4)) (* b b))) (* (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ (* a a) (- 1 a)))) (+ (* a a) 9))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3))))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))) (* (* (* (* (+ a 3) (+ (* a a) 9)) (+ (* a a) (- 1 a))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (* (+ a 3) (+ 1 (pow a 3))) (* (- 81 (pow a 4)) (* b b))) (* (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ (* a a) (- 1 a)))) (+ (* a a) 9))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3))))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))) (* (* (* (* (+ a 3) (+ (* a a) 9)) (+ (* a a) (- 1 a))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1543 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (182 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (* (* (+ (* a a) 9) (* (+ a 3) (+ (* a a) (- 1 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 81 (pow a 4))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* a a) (- 9 (* a a)))) (- 1 (* a a)))) (* (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (* (* (+ (* a a) 9) (* (+ a 3) (+ (* a a) (- 1 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 81 (pow a 4))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* a a) (- 9 (* a a)))) (- 1 (* a a)))) (* (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1544 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (205 enodes) * [exit]simplify: Simplified to (* (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (* (* (+ a 3) (+ (* a a) (- 1 a))) (+ (* a a) 9)))) (* (+ (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 81 (pow a 4))) (* (+ (* a a) 9) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ (* a a) (- 1 a)))))) (* (* 4 (* (+ a -1) (+ 9 (* a (+ a 3))))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (* (* (+ a 3) (+ (* a a) (- 1 a))) (+ (* a a) 9)))) (* (+ (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 81 (pow a 4))) (* (+ (* a a) 9) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ (* a a) (- 1 a)))))) (* (* 4 (* (+ a -1) (+ 9 (* a (+ a 3))))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1545 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 81 (pow a 4))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* a a) (- 9 (* a a)))) (- 1 (* a a)))) (* (* (* 4 (* (+ a 3) (+ -1 a))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ a 3)) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (- 9 (* a a)) (+ (* a a) -1))) (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 81 (pow a 4))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* a a) (- 9 (* a a)))) (- 1 (* a a)))) (* (* (* 4 (* (+ a 3) (+ -1 a))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ a 3)) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (- 9 (* a a)) (+ (* a a) -1))) (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1546 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (- 27 (pow a 3)) (+ 1 a))) (* (* (* (+ a 3) (+ (* a a) 9)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (* (+ a 3) (- 81 (pow a 4))) (* (+ 1 (pow a 3)) (* b b))) (* (- 9 (* a a)) (* (* (- 1 (* a a)) (* a a)) (* (+ (* a a) (- 1 a)) (+ (* a a) 9))))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (- 27 (pow a 3)) (+ 1 a))) (* (* (* (+ a 3) (+ (* a a) 9)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (+ (* (* (+ a 3) (- 81 (pow a 4))) (* (+ 1 (pow a 3)) (* b b))) (* (- 9 (* a a)) (* (* (- 1 (* a a)) (* a a)) (* (+ (* a a) (- 1 a)) (+ (* a a) 9))))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1547 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (181 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 81 (pow a 4)) (+ a 3))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (- 9 (* a a))) (* (- 1 (* a a)) (* a a)))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ a 3) (* (+ (* a a) (- 1 a)) (+ (* a a) 9)))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a))) (* (- 9 (* a a)) (+ 1 a))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 81 (pow a 4)) (+ a 3))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (- 9 (* a a))) (* (- 1 (* a a)) (* a a)))) (* (* (* 4 (+ a 3)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ a 3) (* (+ (* a a) (- 1 a)) (+ (* a a) 9)))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (* (* (* b 2) (* b a)) a))) (* (- 9 (* a a)) (+ 1 a))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1548 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (181 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ a 3)) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (- 3 a) (+ 1 (pow a 3)))) (* (- (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))))) (* (+ (* (- 81 (pow a 4)) (* (* (+ a 3) (* b b)) (+ 1 (pow a 3)))) (* (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ (* a a) (- 1 a)))) (+ (* a a) 9))) (* (* (* 4 (+ (* a a) (- 1 a))) (- (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ a 3)) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (- 3 a) (+ 1 (pow a 3)))) (* (- (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))))) (* (+ (* (- 81 (pow a 4)) (* (* (+ a 3) (* b b)) (+ 1 (pow a 3)))) (* (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ (* a a) (- 1 a)))) (+ (* a a) 9))) (* (* (* 4 (+ (* a a) (- 1 a))) (- (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1549 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ a 3) (+ 1 (pow a 3))) (* (- 81 (pow a 4)) (* b b))) (* (+ (* a a) 9) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ (* a a) (- 1 a)))))) (* (* (* 4 (- a 1)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ a 3)) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (- 3 a) (- (* a a) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ a 3) (+ 1 (pow a 3))) (* (- 81 (pow a 4)) (* b b))) (* (+ (* a a) 9) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ (* a a) (- 1 a)))))) (* (* (* 4 (- a 1)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ a 3)) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (- 3 a) (- (* a a) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1550 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ a 3) (+ (* a a) (- 1 a))) (+ (* a a) 9)) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (- 81 (pow a 4)) (* (* (+ a 3) (* b b)) (+ 1 (pow a 3)))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (- 1 (* a a))) (* (* a a) (- 9 (* a a))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ a 3) (+ (* a a) (- 1 a))) (+ (* a a) 9)) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (- 81 (pow a 4)) (* (* (+ a 3) (* b b)) (+ 1 (pow a 3)))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (- 1 (* a a))) (* (* a a) (- 9 (* a a))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1551 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ a 3) (+ 1 (pow a 3))) (* (- 81 (pow a 4)) (* b b))) (* (+ (* a a) 9) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ (* a a) (- 1 a)))))) (* (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (* (* (+ a 3) (+ (* a a) 9)) (+ (* a a) (- 1 a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ a 3) (+ 1 (pow a 3))) (* (- 81 (pow a 4)) (* b b))) (* (+ (* a a) 9) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ (* a a) (- 1 a)))))) (* (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (* (* (+ a 3) (+ (* a a) 9)) (+ (* a a) (- 1 a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1552 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 81 (pow a 4))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* a a) (- 9 (* a a)))) (- 1 (* a a)))) (* (* (* 4 (- a 1)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (+ a 3) (+ (* a a) 9)) (+ (* a a) (- 1 a))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 81 (pow a 4))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (* a a) (- 9 (* a a)))) (- 1 (* a a)))) (* (* (* 4 (- a 1)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (+ a 3) (+ (* a a) 9)) (+ (* a a) (- 1 a))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1553 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ 3 a))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 81 (pow a 4)) (* (* (+ a 3) (* b b)) (+ 1 (pow a 3)))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (- 1 (* a a))) (* (* a a) (- 9 (* a a))))) (* (* (* 4 (- a 1)) (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (- 9 (* a a)) (+ (* a a) -1)) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (* (+ (* a a) 9) (* (+ a 3) (+ (* a a) (- 1 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 81 (pow a 4)) (* (* (+ a 3) (* b b)) (+ 1 (pow a 3)))) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (- 1 (* a a))) (* (* a a) (- 9 (* a a))))) (* (* (* 4 (- a 1)) (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (- 9 (* a a)) (+ (* a a) -1)) (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (* (+ (* a a) 9) (* (+ a 3) (+ (* a a) (- 1 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1554 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (* (+ a 3) (+ (* a a) 9)) (+ (* a a) (- 1 a)))) (* (* (+ 1 a) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (+ a 3) (- 81 (pow a 4))) (* (+ 1 (pow a 3)) (* b b))) (* (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ (* a a) (- 1 a)))) (+ (* a a) 9))) (* (+ 36 (* 4 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (* (+ a 3) (+ (* a a) 9)) (+ (* a a) (- 1 a)))) (* (* (+ 1 a) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (+ a 3) (- 81 (pow a 4))) (* (+ 1 (pow a 3)) (* b b))) (* (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ (* a a) (- 1 a)))) (+ (* a a) 9))) (* (+ 36 (* 4 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1555 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ 3 a)) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (160 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ a 3) (+ 1 (pow a 3))) (* (- 81 (pow a 4)) (* b b))) (* (+ (* a a) 9) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ (* a a) (- 1 a)))))) (* (+ 12 (* a 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)))) (* (* (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (- 9 (* a a)) (+ 1 a))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ a 3) (+ 1 (pow a 3))) (* (- 81 (pow a 4)) (* b b))) (* (+ (* a a) 9) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ (* a a) (- 1 a)))))) (* (+ 12 (* a 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)))) (* (* (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (- 9 (* a a)) (+ 1 a))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 1556 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 81 (pow a 4)) (* (* (+ a 3) (* b b)) (+ 1 (pow a 3)))) (* (+ (* a a) 9) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ (* a a) (- 1 a)))))) (* (* 4 (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ 1 (pow a 3))) (* (- 3 a) (* (+ a 3) (* (+ (* a a) (- 1 a)) (+ (* a a) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 81 (pow a 4)) (* (* (+ a 3) (* b b)) (+ 1 (pow a 3)))) (* (+ (* a a) 9) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ (* a a) (- 1 a)))))) (* (* 4 (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (+ 1 (pow a 3))) (* (- 3 a) (* (+ a 3) (* (+ (* a a) (- 1 a)) (+ (* a a) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 1557 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- a 1)) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a a) (- 1 a)) (* (+ (* a a) 9) (+ a 3)))) (* (* (+ (* a a) -1) (- 3 a)) (+ (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))))) (* (+ (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 81 (pow a 4))) (* (- 9 (* a a)) (* (* (- 1 (* a a)) (* a a)) (* (+ (* a a) (- 1 a)) (+ (* a a) 9))))) (* (+ (* 4 a) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a a) (- 1 a)) (* (+ (* a a) 9) (+ a 3)))) (* (* (+ (* a a) -1) (- 3 a)) (+ (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))))) (* (+ (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 81 (pow a 4))) (* (- 9 (* a a)) (* (* (- 1 (* a a)) (* a a)) (* (+ (* a a) (- 1 a)) (+ (* a a) 9))))) (* (+ (* 4 a) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (- a 1))))) 1)) * * * * [misc]progress: [ 1558 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* a a) 9) (* (+ a 3) (+ (* a a) (- 1 a))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 1 a) (- 3 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- 81 (pow a 4)) (* (* (+ a 3) (* b b)) (+ 1 (pow a 3)))) (* (+ (* a a) 9) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ (* a a) (- 1 a))))))) (* 4 (+ (* (* (* (* b b) 2) (* a a)) (- (* (* (* b b) 2) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* a a) 9) (* (+ a 3) (+ (* a a) (- 1 a))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 1 a) (- 3 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- 81 (pow a 4)) (* (* (+ a 3) (* b b)) (+ 1 (pow a 3)))) (* (+ (* a a) 9) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ (* a a) (- 1 a))))))) (* 4 (+ (* (* (* (* b b) 2) (* a a)) (- (* (* (* b b) 2) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 1559 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ a 3)) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (- 3 a) (+ 1 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (- 81 (pow a 4)) (* (* (+ a 3) (* b b)) (+ 1 (pow a 3)))) (* (+ (* a a) 9) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ (* a a) (- 1 a)))))) (* (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ a 3)) (* (* (* (+ (* a a) (- 1 a)) (+ (* a a) 9)) (* (- 3 a) (+ 1 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (- 81 (pow a 4)) (* (* (+ a 3) (* b b)) (+ 1 (pow a 3)))) (* (+ (* a a) 9) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ (* a a) (- 1 a)))))) (* (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 1560 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- a 1) (+ a 3)) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (+ (pow a 3) 1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ (* a a) -1))) (* (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* 81 (- a 1))) (* (* (* a a) (- 9 (* a a))) (- 1 (* a a)))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ (* a (+ a 3)) 9))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- a 1) (+ a 3)) (+ (+ 81 (pow a 4)) (* (* a a) 9))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (+ (pow a 3) 1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ (* a a) -1))) (* (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* 81 (- a 1))) (* (* (* a a) (- 9 (* a a))) (- 1 (* a a)))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ (* a (+ a 3)) 9))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1561 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (213 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (- a 1) (+ a 3))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ (* a a) -1))) (* (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ (* a a) 9))) (* (* a a) (* (- 9 (* a a)) (- 1 (* a a))))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (- a 1) (+ a 3))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ (* a a) -1))) (* (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ (* a a) 9))) (* (* a a) (* (- 9 (* a a)) (- 1 (* a a))))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1562 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (217 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (- (* a a) 1) (- 27 (pow a 3)))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ -1 a) (+ a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ a 3) (* b b)) (- (* a a) 1)) (- 729 (pow (* a a) 3))) (* (+ (* (* (+ -1 a) (* a a)) (+ 9 (* a a))) (* 81 (+ -1 a))) (* (- 9 (* a a)) (* (- 1 (* a a)) (* a a)))))) (* (* 4 (* (+ (* a (+ a 3)) 9) (+ -1 a))) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (- (* a a) 1) (- 27 (pow a 3)))) (* (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (+ -1 a) (+ a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ a 3) (* b b)) (- (* a a) 1)) (- 729 (pow (* a a) 3))) (* (+ (* (* (+ -1 a) (* a a)) (+ 9 (* a a))) (* 81 (+ -1 a))) (* (- 9 (* a a)) (* (- 1 (* a a)) (* a a)))))) (* (* 4 (* (+ (* a (+ a 3)) 9) (+ -1 a))) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1563 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 81 (* (+ (* a a) 9) (* a a))) (* (- a 1) (+ a 3))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (* (+ 81 (* (+ (* a a) 9) (* a a))) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (- a 1)))))) (* (* 4 (* (- a 1) (+ a 3))) (+ (* (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 81 (* (+ (* a a) 9) (* a a))) (* (- a 1) (+ a 3))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (* (+ 81 (* (+ (* a a) 9) (* a a))) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (- a 1)))))) (* (* 4 (* (- a 1) (+ a 3))) (+ (* (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1564 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (- 27 (pow a 3)) (+ 1 a)) (* (* (- a 1) (+ a 3)) (+ (+ (pow a 4) 81) (* (* a a) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 729 (pow (* a a) 3))) (* (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ 9 (* a a)))) (* (* (- 1 (* a a)) (- 9 (* a a))) (* a a))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (- 27 (pow a 3)) (+ 1 a)) (* (* (- a 1) (+ a 3)) (+ (+ (pow a 4) 81) (* (* a a) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 729 (pow (* a a) 3))) (* (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ 9 (* a a)))) (* (* (- 1 (* a a)) (- 9 (* a a))) (* a a))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1565 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (+ (* a a) 9) (* a a)) 81) (* (- a 1) (+ a 3)))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- 9 (* a a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (* (+ (* (+ (* a a) 9) (* a a)) 81) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (- a 1)))))) (* (* 4 (+ a 3)) (+ (* (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (+ (* a a) 9) (* a a)) 81) (* (- a 1) (+ a 3)))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- 9 (* a a)) (+ 1 a)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (* (+ (* (+ (* a a) 9) (* a a)) 81) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (- a 1)))))) (* (* 4 (+ a 3)) (+ (* (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1566 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (* (+ (* (* (- a 1) (* a a)) (+ (* a a) 9)) (* (- a 1) 81)) (* (* (* a a) (- 9 (* a a))) (- 1 (* a a)))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (- 3 a) (+ 1 (pow a 3))) (* (* (- a 1) (+ a 3)) (+ (+ 81 (pow a 4)) (* (* a a) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (* (+ (* (* (- a 1) (* a a)) (+ (* a a) 9)) (* (- a 1) 81)) (* (* (* a a) (- 9 (* a a))) (- 1 (* a a)))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (- 3 a) (+ 1 (pow a 3))) (* (* (- a 1) (+ a 3)) (+ (+ 81 (pow a 4)) (* (* a a) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1567 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2)))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (- a 1) (+ a 3)))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2)))) (* (- 3 a) (+ (* a a) -1)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2)))) (+ (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (- a 1)))))) (* (* 4 (- a 1)) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2)))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (- a 1) (+ a 3)))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2)))) (* (- 3 a) (+ (* a a) -1)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* (* b b) 2)))) (+ (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (- a 1)))))) (* (* 4 (- a 1)) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1568 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) 4) (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (- (* a a) 1))) (* (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ 9 (* a a)))) (* (* a a) (* (- 9 (* a a)) (- 1 (* a a))))))) (* (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (- a 1) (+ a 3))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) 4) (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (- (* a a) 1))) (* (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ 9 (* a a)))) (* (* a a) (* (- 9 (* a a)) (- 1 (* a a))))))) (* (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (- a 1) (+ a 3))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1569 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (205 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) (* (* (+ (pow a 3) 1) (- 9 (* a a))) (* (* (- a 1) (+ a 3)) (+ (+ 81 (pow a 4)) (* (* a a) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (+ (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (* (+ (* (* (- a 1) (* a a)) (+ (* a a) 9)) (* 81 (- a 1))) (* (* a a) (* (- 9 (* a a)) (- 1 (* a a)))))) (* (* (* 4 (* (+ (* a a) (- 1 a)) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) (* (* (+ (pow a 3) 1) (- 9 (* a a))) (* (* (- a 1) (+ a 3)) (+ (+ 81 (pow a 4)) (* (* a a) 9))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (+ (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (* (+ (* (* (- a 1) (* a a)) (+ (* a a) 9)) (* 81 (- a 1))) (* (* a a) (* (- 9 (* a a)) (- 1 (* a a)))))) (* (* (* 4 (* (+ (* a a) (- 1 a)) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1570 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (* (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (* (- (* a a) 1) (- 27 (pow a 3))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ a -1) (+ a 3))))) (* (+ (* (* (* (+ a 3) (* b b)) (- (* a a) 1)) (- 729 (* (pow a 3) (pow a 3)))) (* (+ (* 81 (+ a -1)) (* (* (+ a -1) (* a a)) (+ (* a a) 9))) (* (* (- 1 (* a a)) (* a a)) (- 9 (* a a))))) (* (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ a -1) (+ 9 (* a (+ a 3))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (* (- (* a a) 1) (- 27 (pow a 3))) (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (+ a -1) (+ a 3))))) (* (+ (* (* (* (+ a 3) (* b b)) (- (* a a) 1)) (- 729 (* (pow a 3) (pow a 3)))) (* (+ (* 81 (+ a -1)) (* (* (+ a -1) (* a a)) (+ (* a a) 9))) (* (* (- 1 (* a a)) (* a a)) (- 9 (* a a))))) (* (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ a -1) (+ 9 (* a (+ a 3))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1571 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ a -1))))) (* (* (* 4 (* (+ a -1) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ a -1) (+ a 3))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ a -1))))) (* (* (* 4 (* (+ a -1) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ a -1) (+ a 3))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1572 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ (* a a) -1))) (* (+ (* (* (- a 1) (* a a)) (+ (* a a) 9)) (* (- a 1) 81)) (* (* (- 1 (* a a)) (- 9 (* a a))) (* a a)))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ 1 a) (- 27 (pow a 3))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a)))))) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (- a 1) (+ a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ (* a a) -1))) (* (+ (* (* (- a 1) (* a a)) (+ (* a a) 9)) (* (- a 1) 81)) (* (* (- 1 (* a a)) (- 9 (* a a))) (* a a)))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ 1 a) (- 27 (pow a 3))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a)))))) (* (* (+ (+ 81 (pow a 4)) (* (* a a) 9)) (* (- a 1) (+ a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1573 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (* (* (+ -1 a) (+ a 3)) (+ (* (* a a) (+ (* a a) 9)) 81))) (* (* (* (- 9 (* a a)) (+ 1 a)) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (* (+ (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ -1 a))))) (* (* (* 4 (+ a 3)) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (* (* (+ -1 a) (+ a 3)) (+ (* (* a a) (+ (* a a) 9)) 81))) (* (* (* (- 9 (* a a)) (+ 1 a)) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (* (+ (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ -1 a))))) (* (* (* 4 (+ a 3)) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1574 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (203 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (* (+ 1 (pow a 3)) (- 3 a)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (- a 1) (+ a 3))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ (* a a) -1))) (* (+ (* (* (- a 1) (* a a)) (+ (* a a) 9)) (* 81 (- a 1))) (* (* (- 1 (* a a)) (* a a)) (- 9 (* a a))))) (* (* (* 4 (+ (* a a) (- 1 a))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (* (+ 1 (pow a 3)) (- 3 a)) (* (+ (+ (pow a 4) 81) (* (* a a) 9)) (* (- a 1) (+ a 3))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ (* a a) -1))) (* (+ (* (* (- a 1) (* a a)) (+ (* a a) 9)) (* 81 (- a 1))) (* (* (- 1 (* a a)) (* a a)) (- 9 (* a a))))) (* (* (* 4 (+ (* a a) (- 1 a))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1575 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (- a 1) (+ a 3)) (+ (* (+ (* a a) 9) (* a a)) 81))) (* (* (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (- 3 a) (+ (* a a) -1)))) (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ (* a a) -1))) (* (+ (* (+ (* a a) 9) (* a a)) 81) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (- a 1))))) (* (* (* 4 (- a 1)) (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (- a 1) (+ a 3)) (+ (* (+ (* a a) 9) (* a a)) 81))) (* (* (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (- 3 a) (+ (* a a) -1)))) (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ (* a a) -1))) (* (+ (* (+ (* a a) 9) (* a a)) 81) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (- a 1))))) (* (* (* 4 (- a 1)) (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1576 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a))) (+ 1 (pow a 3))) (* (- 27 (pow a 3)) (* (* (- a 1) (+ a 3)) (+ (* (* a 9) a) (+ (pow a 4) 81))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) b) (* a a)) 3))) (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ (* a a) -1))) (* (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ 9 (* a a)))) (* (* (- 1 (* a a)) (- 9 (* a a))) (* a a)))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) b) (* a a)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) b) (* a a))) (+ 1 (pow a 3))) (* (- 27 (pow a 3)) (* (* (- a 1) (+ a 3)) (+ (* (* a 9) a) (+ (pow a 4) 81))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) b) (* a a)) 3))) (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ (* a a) -1))) (* (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ 9 (* a a)))) (* (* (- 1 (* a a)) (- 9 (* a a))) (* a a)))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* b 2) b) (* a a)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1577 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (184 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (* (- a 1) (+ a 3)) (+ (* (* a a) 9) (+ (pow a 4) 81))))) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (- (* a a) 1))) (* (+ (* (* (- a 1) (* a a)) (+ (* a a) 9)) (* (- a 1) 81)) (* (* (- 1 (* a a)) (* a a)) (- 9 (* a a))))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (* (- a 1) (+ a 3)) (+ (* (* a a) 9) (+ (pow a 4) 81))))) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (- (* a a) 1))) (* (+ (* (* (- a 1) (* a a)) (+ (* a a) 9)) (* (- a 1) 81)) (* (* (- 1 (* a a)) (* a a)) (- 9 (* a a))))) (* (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1578 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (188 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (* (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* 81 (- a 1))) (* (* (* a a) (- 9 (* a a))) (- 1 (* a a))))) (* (* (* 4 (- a 1)) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ (+ 81 (pow a 4)) (* (* 9 a) a)) (* (- a 1) (+ a 3)))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (* (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* 81 (- a 1))) (* (* (* a a) (- 9 (* a a))) (- 1 (* a a))))) (* (* (* 4 (- a 1)) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (+ (+ 81 (pow a 4)) (* (* 9 a) a)) (* (- a 1) (+ a 3)))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1579 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ 3 a))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ (* a a) -1))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (- a 1))))) (* (* (* 4 (+ a 3)) (- a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3)))) (* (* (* (* (- a 1) (+ a 3)) (+ (* (* a a) (+ (* a a) 9)) 81)) (* (* (- 9 (* a a)) (+ (* a a) -1)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ (* a a) -1))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (- a 1))))) (* (* (* 4 (+ a 3)) (- a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3)))) (* (* (* (* (- a 1) (+ a 3)) (+ (* (* a a) (+ (* a a) 9)) 81)) (* (* (- 9 (* a a)) (+ (* a a) -1)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b 2)) b) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1580 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (* (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ 9 (* a a)))) (* (* (* a a) (- 9 (* a a))) (- 1 (* a a))))) (* (+ 36 (* 4 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (- a 1) (+ a 3)) (+ (* (* a a) 9) (+ (pow a 4) 81))))) (* (+ 1 a) (- 27 (pow a 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (* (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ 9 (* a a)))) (* (* (* a a) (- 9 (* a a))) (- 1 (* a a))))) (* (+ 36 (* 4 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (- a 1) (+ a 3)) (+ (* (* a a) 9) (+ (pow a 4) 81))))) (* (+ 1 a) (- 27 (pow a 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1581 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ 3 a)) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ (* a a) -1))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ a -1))))) (* (+ (* a 4) 12) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (+ a -1) (+ a 3)) (+ (* (* a a) (+ (* a a) 9)) 81)) (* (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (- 9 (* a a)) (+ 1 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ (* a a) -1))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ a -1))))) (* (+ (* a 4) 12) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (* (+ a -1) (+ a 3)) (+ (* (* a a) (+ (* a a) 9)) 81)) (* (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (- 9 (* a a)) (+ 1 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 1582 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (182 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (* (- a 1) (+ a 3)) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (* (- 3 a) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (- 729 (pow (* a a) 3)) (* (* (+ a 3) (* b b)) (+ (* a a) -1))) (* (+ (* (* (- a 1) (* a a)) (+ (* a a) 9)) (* (- a 1) 81)) (* (* (* a a) (- 9 (* a a))) (- 1 (* a a))))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (* (- a 1) (+ a 3)) (+ (+ 81 (pow a 4)) (* (* a a) 9)))) (* (* (- 3 a) (+ 1 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (- 729 (pow (* a a) 3)) (* (* (+ a 3) (* b b)) (+ (* a a) -1))) (* (+ (* (* (- a 1) (* a a)) (+ (* a a) 9)) (* (- a 1) 81)) (* (* (* a a) (- 9 (* a a))) (- 1 (* a a))))) (* (* 4 (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 1583 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- a 1)) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (164 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (* (+ (* (+ (* a a) 9) (* a a)) 81) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (- a 1))))) (* (* (- a 1) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (* (+ (* a a) 9) (* a a)) 81) (* (- a 1) (+ a 3))) (* (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (+ (* a a) -1) (- 3 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 729 (* (pow a 3) (pow a 3)))) (* (+ (* (+ (* a a) 9) (* a a)) 81) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (- a 1))))) (* (* (- a 1) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (* (+ (* a a) 9) (* a a)) 81) (* (- a 1) (+ a 3))) (* (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (+ (* a a) -1) (- 3 a)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (- a 1))))) 1)) * * * * [misc]progress: [ 1584 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 1 a) (- 3 a))) (* (* (* (+ a -1) (+ a 3)) (+ (* (+ (* a a) 9) (* a a)) 81)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ (* a a) -1))) (* (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ a -1))) (+ (* (+ (* a a) 9) (* a a)) 81)))) (* 4 (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 1 a) (- 3 a))) (* (* (* (+ a -1) (+ a 3)) (+ (* (+ (* a a) 9) (* a a)) 81)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ (* a a) -1))) (* (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ a -1))) (+ (* (+ (* a a) 9) (* a a)) 81)))) (* 4 (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 1585 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (+ (* a a) 9) (* a a)) 81) (* (- a 1) (+ a 3)))) (* (* (- 3 a) (+ 1 a)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))))) (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ (* a a) -1))) (* (+ (* (+ (* a a) 9) (* a a)) 81) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (- a 1))))) (* (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (+ (* a a) 9) (* a a)) 81) (* (- a 1) (+ a 3)))) (* (* (- 3 a) (+ 1 a)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))))) (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ (* a a) -1))) (* (+ (* (+ (* a a) 9) (* a a)) 81) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (- a 1))))) (* (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 1586 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ a 3) (- (* a a) 1)) (* (- 81 (pow a 4)) (* b b))) (* (+ (* a a) 9) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (- a 1)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3))))) (+ (* (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* 2 (* (* a a) (* b b)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (- a 1) (+ a 3)) (+ (* a a) 9))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ a 3) (- (* a a) 1)) (* (- 81 (pow a 4)) (* b b))) (* (+ (* a a) 9) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (- a 1)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3))))) (+ (* (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* 2 (* (* a a) (* b b)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (- a 1) (+ a 3)) (+ (* a a) 9))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1587 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (* (* (* (- a 1) (+ a 3)) (+ (* a a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* a a) -1) (* b b)) (* (- 81 (pow a 4)) (+ a 3))) (* (+ (* a a) 9) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (- a 1)))))) (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (* (* (* (- a 1) (+ a 3)) (+ (* a a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* a a) -1) (* b b)) (* (- 81 (pow a 4)) (+ a 3))) (* (+ (* a a) 9) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (- a 1)))))) (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1588 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ a 3) (- 81 (pow a 4))) (* (+ (* a a) -1) (* b b))) (* (+ (* a a) 9) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (- a 1)))))) (* (* 4 (* (- a 1) (+ 9 (* a (+ a 3))))) (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (+ (* a a) 9) (* (- a 1) (+ a 3))) (* (- 27 (pow a 3)) (+ (* a a) -1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (+ a 3) (- 81 (pow a 4))) (* (+ (* a a) -1) (* b b))) (* (+ (* a a) 9) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (- a 1)))))) (* (* 4 (* (- a 1) (+ 9 (* a (+ a 3))))) (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (+ (* a a) 9) (* (- a 1) (+ a 3))) (* (- 27 (pow a 3)) (+ (* a a) -1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1589 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (184 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* a a) 9) (* (- a 1) (+ a 3)))) (* (* (- (* a a) 1) (- 9 (* a a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ a 3) (* b b)) (- (* a a) 1)) (- 81 (* (* a a) (* a a)))) (* (- 1 (* a a)) (* (* (* a a) (- 9 (* a a))) (* (+ (* a a) 9) (- a 1)))))) (* (* 4 (* (- a 1) (+ a 3))) (+ (* (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) b) (* a a))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* a a) 9) (* (- a 1) (+ a 3)))) (* (* (- (* a a) 1) (- 9 (* a a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ a 3) (* b b)) (- (* a a) 1)) (- 81 (* (* a a) (* a a)))) (* (- 1 (* a a)) (* (* (* a a) (- 9 (* a a))) (* (+ (* a a) 9) (- a 1)))))) (* (* 4 (* (- a 1) (+ a 3))) (+ (* (- (* (* (* b 2) b) (* a a)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) b) (* a a))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1590 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ a 3) (+ (* a a) -1)) (* (- 81 (pow a 4)) (* b b))) (* (* (* (+ (* a a) 9) (- a 1)) (* (* a a) (- 9 (* a a)))) (- 1 (* a a))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a a) 9) (* (- a 1) (+ a 3)))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 1 a) (- 27 (pow a 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ a 3) (+ (* a a) -1)) (* (- 81 (pow a 4)) (* b b))) (* (* (* (+ (* a a) 9) (- a 1)) (* (* a a) (- 9 (* a a)))) (- 1 (* a a))))) (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a a) 9) (* (- a 1) (+ a 3)))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 1 a) (- 27 (pow a 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1591 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ 1 a) (- 9 (* a a))) (* (* (- a 1) (+ a 3)) (+ (* a a) 9))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 81 (* (* a a) (* a a)))) (* (- 1 (* a a)) (* (* (* a a) (- 9 (* a a))) (* (+ (* a a) 9) (- a 1)))))) (* (* 4 (+ a 3)) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ 1 a) (- 9 (* a a))) (* (* (- a 1) (+ a 3)) (+ (* a a) 9))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 81 (* (* a a) (* a a)))) (* (- 1 (* a a)) (* (* (* a a) (- 9 (* a a))) (* (+ (* a a) 9) (- a 1)))))) (* (* 4 (+ a 3)) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1592 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- 81 (pow a 4)) (* (* (+ a 3) (* b b)) (+ (* a a) -1))) (* (+ (* a a) 9) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ a -1)))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ a 3)) (* (* (* (+ (* a a) 9) (+ a -1)) (* (- 3 a) (+ (pow a 3) 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- 81 (pow a 4)) (* (* (+ a 3) (* b b)) (+ (* a a) -1))) (* (+ (* a a) 9) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ a -1)))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ a 3)) (* (* (* (+ (* a a) 9) (+ a -1)) (* (- 3 a) (+ (pow a 3) 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1593 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (* (+ (* a a) 9) (* (+ a -1) (+ a 3))) (* (- (* a a) 1) (- 3 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ a 3) (* b b)) (- (* a a) 1)) (- 81 (* (* a a) (* a a)))) (* (* (* (+ (* a a) 9) (+ a -1)) (- 1 (* a a))) (* (* a a) (- 9 (* a a)))))) (* (* 4 (+ a -1)) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (* (+ (* a a) 9) (* (+ a -1) (+ a 3))) (* (- (* a a) 1) (- 3 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ a 3) (* b b)) (- (* a a) 1)) (- 81 (* (* a a) (* a a)))) (* (* (* (+ (* a a) 9) (+ a -1)) (- 1 (* a a))) (* (* a a) (- 9 (* a a)))))) (* (* 4 (+ a -1)) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1594 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (* (+ a -1) (+ a 3)) (+ (* a a) 9)) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))) (* (* (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ (* a (+ a 3)) 9) (+ (* a a) (- 1 a)))) (+ (* (* (+ a 3) (+ (* a a) -1)) (* (- 81 (pow a 4)) (* b b))) (* (* (* (+ (* a a) 9) (+ a -1)) (- 9 (* a a))) (* (- 1 (* a a)) (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (* (+ a -1) (+ a 3)) (+ (* a a) 9)) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))) (* (* (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ (* a (+ a 3)) 9) (+ (* a a) (- 1 a)))) (+ (* (* (+ a 3) (+ (* a a) -1)) (* (- 81 (pow a 4)) (* b b))) (* (* (* (+ (* a a) 9) (+ a -1)) (- 9 (* a a))) (* (- 1 (* a a)) (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1595 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ -1 a) (+ a 3)) (+ (* a a) 9))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (- 9 (* a a)) (+ 1 (pow a 3))))) (* (+ (* (* (+ (* a a) -1) (* b b)) (* (- 81 (pow a 4)) (+ a 3))) (* (* (* (+ (* a a) 9) (+ -1 a)) (- 9 (* a a))) (* (- 1 (* a a)) (* a a)))) (* (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ -1 a) (+ a 3)) (+ (* a a) 9))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (- 9 (* a a)) (+ 1 (pow a 3))))) (* (+ (* (* (+ (* a a) -1) (* b b)) (* (- 81 (pow a 4)) (+ a 3))) (* (* (* (+ (* a a) 9) (+ -1 a)) (- 9 (* a a))) (* (- 1 (* a a)) (* a a)))) (* (* (* 4 (* (+ a 3) (+ (* a a) (- 1 a)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1596 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (+ a 3) (- 81 (pow a 4))) (* (- (* a a) 1) (* b b))) (* (- 1 (* a a)) (* (* (* a a) (- 9 (* a a))) (* (- a 1) (+ 9 (* a a)))))) (* (* 4 (* (+ (* a (+ a 3)) 9) (- a 1))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) (* (* (* (+ (* a a) 9) (* (- a 1) (+ a 3))) (* (- (* a a) 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (* (+ a 3) (- 81 (pow a 4))) (* (- (* a a) 1) (* b b))) (* (- 1 (* a a)) (* (* (* a a) (- 9 (* a a))) (* (- a 1) (+ 9 (* a a)))))) (* (* 4 (* (+ (* a (+ a 3)) 9) (- a 1))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) (* (* (* (+ (* a a) 9) (* (- a 1) (+ a 3))) (* (- (* a a) 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1597 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (* a a) 9) (* (+ -1 a) (+ a 3))) (* (+ (* a a) -1) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (+ (* (- 81 (* (* a a) (* a a))) (* (* (+ a 3) (* b b)) (+ (* a a) -1))) (* (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ -1 a))) (+ (* a a) 9))) (* (* (* 4 (* (+ -1 a) (+ a 3))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (* a a) 9) (* (+ -1 a) (+ a 3))) (* (+ (* a a) -1) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (+ (* (- 81 (* (* a a) (* a a))) (* (* (+ a 3) (* b b)) (+ (* a a) -1))) (* (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ -1 a))) (+ (* a a) 9))) (* (* (* 4 (* (+ -1 a) (+ a 3))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1598 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (* (- a 1) (+ a 3)) (+ (* a a) 9)) (* (+ 1 a) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (* (* (+ a 3) (* b b)) (- (* a a) 1)) (- 81 (pow a 4))) (* (* (* (+ (* a a) 9) (- a 1)) (- 9 (* a a))) (* (- 1 (* a a)) (* a a)))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (* (- a 1) (+ a 3)) (+ (* a a) 9)) (* (+ 1 a) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (* (* (+ a 3) (* b b)) (- (* a a) 1)) (- 81 (pow a 4))) (* (* (* (+ (* a a) 9) (- a 1)) (- 9 (* a a))) (* (- 1 (* a a)) (* a a)))) (* (* (* 4 (+ (* a (+ a 3)) 9)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1599 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (+ (* a a) 9) (* (- a 1) (+ a 3)))) (* (* (- 9 (* a a)) (+ 1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 81 (* (* a a) (* a a)))) (* (- 1 (* a a)) (* (* (* a a) (- 9 (* a a))) (* (+ (* a a) 9) (- a 1))))) (* (* (* 4 (+ a 3)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (+ (* a a) 9) (* (- a 1) (+ a 3)))) (* (* (- 9 (* a a)) (+ 1 a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 81 (* (* a a) (* a a)))) (* (- 1 (* a a)) (* (* (* a a) (- 9 (* a a))) (* (+ (* a a) 9) (- a 1))))) (* (* (* 4 (+ a 3)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1600 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (187 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))) (* (- 3 a) (+ 1 (pow a 3)))) (* (* (* (- a 1) (+ a 3)) (+ (* a a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (- 81 (pow a 4)) (* (* (+ a 3) (* b b)) (+ (* a a) -1))) (* (* (* (+ (* a a) 9) (- a 1)) (- 9 (* a a))) (* (- 1 (* a a)) (* a a)))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))) (* (- 3 a) (+ 1 (pow a 3)))) (* (* (* (- a 1) (+ a 3)) (+ (* a a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (- 81 (pow a 4)) (* (* (+ a 3) (* b b)) (+ (* a a) -1))) (* (* (* (+ (* a a) 9) (- a 1)) (- 9 (* a a))) (* (- 1 (* a a)) (* a a)))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1601 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 81 (* (* a a) (* a a)))) (* (- 9 (* a a)) (* (* (- 1 (* a a)) (* a a)) (* (+ (* a a) 9) (+ a -1))))) (* (* (* 4 (+ a -1)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (* (+ (* a a) 9) (* (+ a -1) (+ a 3))) (* (- 3 a) (+ (* a a) -1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 81 (* (* a a) (* a a)))) (* (- 9 (* a a)) (* (* (- 1 (* a a)) (* a a)) (* (+ (* a a) 9) (+ a -1))))) (* (* (* 4 (+ a -1)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (* (+ (* a a) 9) (* (+ a -1) (+ a 3))) (* (- 3 a) (+ (* a a) -1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1602 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ a 3) (- 81 (pow a 4))) (* (- (* a a) 1) (* b b))) (* (+ (* a a) 9) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (- a 1))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)))) (* (* (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (* (* (- a 1) (+ a 3)) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ a 3) (- 81 (pow a 4))) (* (- (* a a) 1) (* b b))) (* (+ (* a a) 9) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (- a 1))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)))) (* (* (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (* (* (- a 1) (+ a 3)) (+ (* a a) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1603 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* a a) -1) (* b b)) (* (- 81 (pow a 4)) (+ a 3))) (* (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (- a 1))) (+ (* a a) 9))) (* (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (* (* (- a 1) (+ a 3)) (+ (* a a) 9)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* a a) -1) (* b b)) (* (- 81 (pow a 4)) (+ a 3))) (* (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (- a 1))) (+ (* a a) 9))) (* (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (* (* (- a 1) (+ a 3)) (+ (* a a) 9)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1604 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ a 3) (- 81 (pow a 4))) (* (+ (* a a) -1) (* b b))) (* (- 9 (* a a)) (* (* (- 1 (* a a)) (* a a)) (* (- a 1) (+ 9 (* a a)))))) (* (* (* 4 (- a 1)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* (* (- 27 (pow a 3)) (+ (* a a) -1)) (* (* (- a 1) (+ a 3)) (+ (* a a) 9)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ a 3) (- 81 (pow a 4))) (* (+ (* a a) -1) (* b b))) (* (- 9 (* a a)) (* (* (- 1 (* a a)) (* a a)) (* (- a 1) (+ 9 (* a a)))))) (* (* (* 4 (- a 1)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* (* (- 27 (pow a 3)) (+ (* a a) -1)) (* (* (- a 1) (+ a 3)) (+ (* a a) 9)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1605 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ 3 a))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (155 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 81 (* (* a a) (* a a)))) (* (* (* (- 1 (* a a)) (- a 1)) (+ (* a a) 9)) (* (* a a) (- 9 (* a a))))) (* (* (* 4 (- a 1)) (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (* (* (+ (* a a) -1) (- 9 (* a a))) (* (+ (* a a) 9) (* (- a 1) (+ a 3))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 81 (* (* a a) (* a a)))) (* (* (* (- 1 (* a a)) (- a 1)) (+ (* a a) 9)) (* (* a a) (- 9 (* a a))))) (* (* (* 4 (- a 1)) (+ a 3)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b)) (* (* (+ (* a a) -1) (- 9 (* a a))) (* (+ (* a a) 9) (* (- a 1) (+ a 3))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1606 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 81 (pow a 4)) (* (* (+ a 3) (* b b)) (+ (* a a) -1))) (* (+ (* a a) 9) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (- a 1))))) (* (* (+ (* a (+ a 3)) 9) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ (* a a) 9) (* (- a 1) (+ a 3))) (* (+ 1 a) (- 27 (pow a 3)))) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 81 (pow a 4)) (* (* (+ a 3) (* b b)) (+ (* a a) -1))) (* (+ (* a a) 9) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (- a 1))))) (* (* (+ (* a (+ a 3)) 9) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ (* a a) 9) (* (- a 1) (+ a 3))) (* (+ 1 a) (- 27 (pow a 3)))) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1607 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ 3 a)) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (154 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 81 (* (* a a) (* a a))) (* (* (+ a 3) (* b b)) (- (* a a) 1))) (* (* (* (+ (* a a) 9) (- a 1)) (- 9 (* a a))) (* (- 1 (* a a)) (* a a)))) (* (* (+ a 3) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (+ 1 a) (- 9 (* a a))) (* (* (- a 1) (+ a 3)) (+ (* a a) 9)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 81 (* (* a a) (* a a))) (* (* (+ a 3) (* b b)) (- (* a a) 1))) (* (* (* (+ (* a a) 9) (- a 1)) (- 9 (* a a))) (* (- 1 (* a a)) (* a a)))) (* (* (+ a 3) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (+ 1 a) (- 9 (* a a))) (* (* (- a 1) (+ a 3)) (+ (* a a) 9)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 1608 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (166 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ (* a a) 9) (* (- a 1) (+ a 3))) (* (+ 1 (pow a 3)) (- 3 a))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 81 (pow a 4))) (* (* (* (+ (* a a) 9) (- a 1)) (- 9 (* a a))) (* (- 1 (* a a)) (* a a)))) (* (* (+ (* a a) (- 1 a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ (* a a) 9) (* (- a 1) (+ a 3))) (* (+ 1 (pow a 3)) (- 3 a))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 81 (pow a 4))) (* (* (* (+ (* a a) 9) (- a 1)) (- 9 (* a a))) (* (- 1 (* a a)) (* a a)))) (* (* (+ (* a a) (- 1 a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 1609 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- a 1)) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (148 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 81 (* (* a a) (* a a)))) (* (* (* (- 1 (* a a)) (+ (* a a) 9)) (- a 1)) (* (* a a) (- 9 (* a a))))) (* (+ (* 4 a) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* (* (+ (* a a) -1) (- 3 a)) (* (+ (* a a) 9) (* (- a 1) (+ a 3))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 81 (* (* a a) (* a a)))) (* (* (* (- 1 (* a a)) (+ (* a a) 9)) (- a 1)) (* (* a a) (- 9 (* a a))))) (* (+ (* 4 a) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* (* (+ (* a a) -1) (- 3 a)) (* (+ (* a a) 9) (* (- a 1) (+ a 3))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (- a 1))))) 1)) * * * * [misc]progress: [ 1610 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (181 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ (* a a) 9) (* (+ a -1) (+ a 3))) (* (- 3 a) (+ 1 a))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (+ (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a a) 9) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ a -1))))) 4) (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ (* a a) 9) (* (+ a -1) (+ a 3))) (* (- 3 a) (+ 1 a))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (+ (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a a) 9) (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ a -1))))) 4) (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 1611 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (* (- a 1) (+ 9 (* a a)))) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 81 (* (* a a) (* a a)))) (* (* (* (+ (* a a) 9) (- a 1)) (- 1 (* a a))) (* (* a a) (- 9 (* a a))))) (* (* 4 (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (* (- 3 a) (+ 1 a)) (* (+ (* a a) 9) (* (- a 1) (+ a 3))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 81 (* (* a a) (* a a)))) (* (* (* (+ (* a a) 9) (- a 1)) (- 1 (* a a))) (* (* a a) (- 9 (* a a))))) (* (* 4 (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (* (- 3 a) (+ 1 a)) (* (+ (* a a) 9) (* (- a 1) (+ a 3))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (* (- a 1) (+ 9 (* a a)))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 1612 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (+ a 3) (* a a)) (+ 9 (* a a))) (* 81 (+ a 3))) (* (- 27 (pow a 3)) (+ 1 (pow a 3)))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- 729 (pow (* a a) 3)) (* (* (+ a 3) (* b b)) (+ 1 a))) (* (* (* (* a a) (- 9 (* a a))) (- 1 (* a a))) (+ 81 (* (+ 9 (* a a)) (* a a)))))) (* (* 4 (* (+ 9 (* a (+ a 3))) (+ (- 1 a) (* a a)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 a)) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (+ a 3) (* a a)) (+ 9 (* a a))) (* 81 (+ a 3))) (* (- 27 (pow a 3)) (+ 1 (pow a 3)))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- 729 (pow (* a a) 3)) (* (* (+ a 3) (* b b)) (+ 1 a))) (* (* (* (* a a) (- 9 (* a a))) (- 1 (* a a))) (+ 81 (* (+ 9 (* a a)) (* a a)))))) (* (* 4 (* (+ 9 (* a (+ a 3))) (+ (- 1 a) (* a a)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 a)) a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1613 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (208 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 3) (* (+ 1 a) (* b b)))) (* (* (* a a) (* (- 9 (* a a)) (- 1 (* a a)))) (+ 81 (* (* a a) (+ 9 (* a a))))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ a 3)) (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 3) (* (+ 1 a) (* b b)))) (* (* (* a a) (* (- 9 (* a a)) (- 1 (* a a)))) (+ 81 (* (* a a) (+ 9 (* a a))))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ a 3)) (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1614 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (218 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- 729 (pow (* a a) 3)) (* (* (+ a 3) (+ 1 a)) (* b b))) (* (* (* (* a a) (- 9 (* a a))) (- 1 (* a a))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (* 4 (* (- a 1) (+ 9 (* a (+ a 3))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a))))))) (* (* (* (+ (* (* (+ a 3) (* a a)) (+ (* a a) 9)) (* (+ a 3) 81)) (* (- 27 (pow a 3)) (- (* a a) 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- 729 (pow (* a a) 3)) (* (* (+ a 3) (+ 1 a)) (* b b))) (* (* (* (* a a) (- 9 (* a a))) (- 1 (* a a))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (* 4 (* (- a 1) (+ 9 (* a (+ a 3))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a))))))) (* (* (* (+ (* (* (+ a 3) (* a a)) (+ (* a a) 9)) (* (+ a 3) 81)) (* (- 27 (pow a 3)) (- (* a a) 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1615 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (203 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ a 3)) (* (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (- 9 (* a a)) (+ (* a a) -1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (+ 1 a)) (* b b))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (* (* a a) (- 9 (* a a))) (- 1 (* a a)))))) (* (* 4 (* (+ a 3) (+ a -1))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ a 3)) (* (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (- 9 (* a a)) (+ (* a a) -1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (+ 1 a)) (* b b))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (* (* a a) (- 9 (* a a))) (- 1 (* a a)))))) (* (* 4 (* (+ a 3) (+ a -1))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1616 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ a 3) (* b b)) (+ 1 a)) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* a a) (* (- 9 (* a a)) (- 1 (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))))))) (* (* (+ (* (* (+ a 3) (* a a)) (+ (* a a) 9)) (* (+ a 3) 81)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (+ 1 a) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ a 3) (* b b)) (+ 1 a)) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* a a) (* (- 9 (* a a)) (- 1 (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))))))) (* (* (+ (* (* (+ a 3) (* a a)) (+ (* a a) 9)) (* (+ a 3) 81)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (+ 1 a) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1617 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ a 3)) (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ 1 a) (- 9 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ 1 a))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (* (- 1 (* a a)) (- 9 (* a a))) (* a a))))) (* (* 4 (+ a 3)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (* b 2) (* b (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ a 3)) (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ 1 a) (- 9 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ 1 a))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (* (- 1 (* a a)) (- 9 (* a a))) (* a a))))) (* (* 4 (+ a 3)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (* b 2) (* b (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1618 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ a 3) (+ 1 a)) (* b b)) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* a a) (* (- 9 (* a a)) (- 1 (* a a)))) (+ 81 (* (+ 9 (* a a)) (* a a)))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ a 3)) (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* (+ (pow a 3) 1) (- 3 a))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ a 3) (+ 1 a)) (* b b)) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* a a) (* (- 9 (* a a)) (- 1 (* a a)))) (+ 81 (* (+ 9 (* a a)) (* a a)))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ a 3)) (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* (+ (pow a 3) 1) (- 3 a))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1619 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ a 3)) (* (* (+ (* (+ 9 (* a a)) (* a a)) 81) (* (+ (* a a) -1) (- 3 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ 1 a))) (* (+ (* (+ 9 (* a a)) (* a a)) 81) (* (* (* a a) (- 9 (* a a))) (- 1 (* a a)))))) (* (* 4 (- a 1)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ a 3)) (* (* (+ (* (+ 9 (* a a)) (* a a)) 81) (* (+ (* a a) -1) (- 3 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ 1 a))) (* (+ (* (+ 9 (* a a)) (* a a)) 81) (* (* (* a a) (- 9 (* a a))) (- 1 (* a a)))))) (* (* 4 (- a 1)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1620 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (216 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* 4 (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ 9 (* a (+ a 3))) (+ (- 1 a) (* a a)))) (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ 1 a))) (* (* (* (- 1 (* a a)) (* a a)) (- 9 (* a a))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (+ (* (* (+ a 3) (* a a)) (+ (* a a) 9)) (* (+ a 3) 81))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* 4 (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ 9 (* a (+ a 3))) (+ (- 1 a) (* a a)))) (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ 1 a))) (* (* (* (- 1 (* a a)) (* a a)) (- 9 (* a a))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (+ (* (* (+ a 3) (* a a)) (+ (* a a) 9)) (* (+ a 3) 81))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1621 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ 1 a))) (* (* (* (- 1 (* a a)) (- 9 (* a a))) (* a a)) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))) (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (+ (* (+ a 3) 81) (* (* (+ a 3) (* a a)) (+ 9 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ 1 a))) (* (* (* (- 1 (* a a)) (- 9 (* a a))) (* a a)) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))) (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (+ (* (+ a 3) 81) (* (* (+ a 3) (* a a)) (+ 9 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1622 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (211 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (+ a -1) (+ 9 (* a (+ a 3))))) 4) (+ (* (* (* (+ a 3) (* b b)) (+ 1 a)) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* a a) (* (- 9 (* a a)) (- 1 (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (* (+ (* (+ a 3) 81) (* (* (+ a 3) (* a a)) (+ (* a a) 9))) (* (- (* a a) 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (+ a -1) (+ 9 (* a (+ a 3))))) 4) (+ (* (* (* (+ a 3) (* b b)) (+ 1 a)) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* a a) (* (- 9 (* a a)) (- 1 (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (* (+ (* (+ a 3) 81) (* (* (+ a 3) (* a a)) (+ (* a a) 9))) (* (- (* a a) 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1623 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ a 3)) (* (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (- 9 (* a a)) (+ (* a a) -1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a)))))) (* (+ (* (* (* (+ a 3) (* b b)) (+ 1 a)) (- 729 (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (* (- 1 (* a a)) (- 9 (* a a))) (* a a)))) (* (* (* 4 (* (+ a 3) (- a 1))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ a 3)) (* (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (- 9 (* a a)) (+ (* a a) -1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) b) (* a a)) (* (* (* b 2) b) (* a a)))))) (* (+ (* (* (* (+ a 3) (* b b)) (+ 1 a)) (- 729 (* (pow a 3) (pow a 3)))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (* (- 1 (* a a)) (- 9 (* a a))) (* a a)))) (* (* (* 4 (* (+ a 3) (- a 1))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1624 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ a 3)) (* (* (+ (* 9 (* a a)) (+ (pow a 4) 81)) (* (- 27 (pow a 3)) (+ 1 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))))) (* (+ (* (* (+ a 3) (* (+ 1 a) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* a a) (* (- 9 (* a a)) (- 1 (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ a 3)) (* (* (+ (* 9 (* a a)) (+ (pow a 4) 81)) (* (- 27 (pow a 3)) (+ 1 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))))) (* (+ (* (* (+ a 3) (* (+ 1 a) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* a a) (* (- 9 (* a a)) (- 1 (* a a)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1625 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ a 3) (* b b)) (+ 1 a)) (- 729 (pow (* a a) 3))) (* (+ (* (+ 9 (* a a)) (* a a)) 81) (* (* (- 1 (* a a)) (- 9 (* a a))) (* a a)))) (* (* (* 4 (+ a 3)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ a 3)) (* (* (+ (* (+ 9 (* a a)) (* a a)) 81) (* (+ 1 a) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ a 3) (* b b)) (+ 1 a)) (- 729 (pow (* a a) 3))) (* (+ (* (+ 9 (* a a)) (* a a)) 81) (* (* (- 1 (* a a)) (- 9 (* a a))) (* a a)))) (* (* (* 4 (+ a 3)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ a 3)) (* (* (+ (* (+ 9 (* a a)) (* a a)) 81) (* (+ 1 a) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1626 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 3) (* (+ 1 a) (* b b)))) (* (* (* (- 1 (* a a)) (* a a)) (- 9 (* a a))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ a 3)) (* (* (+ (* 9 (* a a)) (+ (pow a 4) 81)) (* (- 3 a) (+ (pow a 3) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 3) (* (+ 1 a) (* b b)))) (* (* (* (- 1 (* a a)) (* a a)) (- 9 (* a a))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ a 3)) (* (* (+ (* 9 (* a a)) (+ (pow a 4) 81)) (* (- 3 a) (+ (pow a 3) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1627 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (187 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)) (+ a 3)) (* (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (- 3 a) (+ (* a a) -1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a))))))) (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 3) (* (+ 1 a) (* b b)))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (* (- 1 (* a a)) (* a a)) (- 9 (* a a))))) (* (* (* 4 (- a 1)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)) (+ a 3)) (* (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (- 3 a) (+ (* a a) -1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a))))))) (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 3) (* (+ 1 a) (* b b)))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (* (- 1 (* a a)) (* a a)) (- 9 (* a a))))) (* (* (* 4 (- a 1)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1628 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (+ 1 a)) (* b b))) (* (* (- 9 (* a a)) (* (- 1 (* a a)) (* a a))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ a 3)) (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* (- 27 (pow a 3)) (+ (pow a 3) 1))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (+ 1 a)) (* b b))) (* (* (- 9 (* a a)) (* (- 1 (* a a)) (* a a))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ a 3)) (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* (- 27 (pow a 3)) (+ (pow a 3) 1))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1629 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (+ 1 a)) (* b b))) (* (* (* (- 1 (* a a)) (* a a)) (- 9 (* a a))) (+ 81 (* (+ 9 (* a a)) (* a a))))) (* (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ a 3)) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (- 9 (* a a)) (+ (pow a 3) 1))) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (+ 1 a)) (* b b))) (* (* (* (- 1 (* a a)) (* a a)) (- 9 (* a a))) (+ 81 (* (+ 9 (* a a)) (* a a))))) (* (* (* 4 (+ a 3)) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ a 3)) (* (* (+ (+ (pow a 4) 81) (* 9 (* a a))) (* (- 9 (* a a)) (+ (pow a 3) 1))) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1630 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * [exit]simplify: Simplified to (+ (* (+ a 3) (* (* (* (+ (* 9 (* a a)) (+ (pow a 4) 81)) (* (+ (* a a) -1) (- 27 (pow a 3)))) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)))) (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ 1 a))) (* (* (* (- 1 (* a a)) (* a a)) (- 9 (* a a))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* 4 (- a 1)) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ a 3) (* (* (* (+ (* 9 (* a a)) (+ (pow a 4) 81)) (* (+ (* a a) -1) (- 27 (pow a 3)))) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)))) (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ 1 a))) (* (* (* (- 1 (* a a)) (* a a)) (- 9 (* a a))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* 4 (- a 1)) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1631 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ 3 a))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ a 3) (* (+ 1 a) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (* (+ (* (+ 9 (* a a)) (* a a)) 81) (* (* (- 1 (* a a)) (- 9 (* a a))) (* a a)))) (* (* (* (+ a -1) (+ a 3)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ a 3)) (* (+ (* (+ 9 (* a a)) (* a a)) 81) (* (* (- 9 (* a a)) (+ (* a a) -1)) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ a 3) (* (+ 1 a) (* b b))) (- 729 (* (pow a 3) (pow a 3)))) (* (+ (* (+ 9 (* a a)) (* a a)) 81) (* (* (- 1 (* a a)) (- 9 (* a a))) (* a a)))) (* (* (* (+ a -1) (+ a 3)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ a 3)) (* (+ (* (+ 9 (* a a)) (* a a)) 81) (* (* (- 9 (* a a)) (+ (* a a) -1)) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1632 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ 1 a))) (* (* (* (* a a) (- 9 (* a a))) (- 1 (* a a))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (+ 9 (* a (+ a 3))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* (- 27 (pow a 3)) (+ 1 a))) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (+ a 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (* (+ a 3) (* b b)) (+ 1 a))) (* (* (* (* a a) (- 9 (* a a))) (- 1 (* a a))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (+ 9 (* a (+ a 3))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ (+ 81 (pow a 4)) (* 9 (* a a))) (* (- 27 (pow a 3)) (+ 1 a))) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (+ a 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1633 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ 3 a)) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (162 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ a 3)) (* (+ (* (+ 9 (* a a)) (* a a)) 81) (* (* (+ 1 a) (- 9 (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (+ a 3) (* (+ 1 a) (* b b))) (- 729 (pow (* a a) 3))) (* (+ (* (+ 9 (* a a)) (* a a)) 81) (* (* (- 1 (* a a)) (- 9 (* a a))) (* a a)))) (* (+ (* a 4) 12) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ a 3)) (* (+ (* (+ 9 (* a a)) (* a a)) 81) (* (* (+ 1 a) (- 9 (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (+ a 3) (* (+ 1 a) (* b b))) (- 729 (pow (* a a) 3))) (* (+ (* (+ 9 (* a a)) (* a a)) 81) (* (* (- 1 (* a a)) (- 9 (* a a))) (* a a)))) (* (+ (* a 4) 12) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 1634 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ a 3) (* a a)) (+ 9 (* a a))) (* (+ a 3) 81)) (* (* (* (- 3 a) (+ 1 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (+ a 3) (+ 1 a)) (* b b)) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* (* a a) (- 9 (* a a))) (- 1 (* a a))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (+ (* a a) (- 1 a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ a 3) (* a a)) (+ 9 (* a a))) (* (+ a 3) 81)) (* (* (* (- 3 a) (+ 1 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (+ (* (* (* (+ a 3) (+ 1 a)) (* b b)) (- 729 (* (pow a 3) (pow a 3)))) (* (* (* (* a a) (- 9 (* a a))) (- 1 (* a a))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (+ (* a a) (- 1 a)) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 1635 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- a 1)) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (166 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 3) (* (+ 1 a) (* b b)))) (* (* (* (* a a) (- 9 (* a a))) (- 1 (* a a))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (+ (* a 4) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ a 3)) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (* (- 3 a) (+ (* a a) -1)) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 729 (* (pow a 3) (pow a 3))) (* (+ a 3) (* (+ 1 a) (* b b)))) (* (* (* (* a a) (- 9 (* a a))) (- 1 (* a a))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (+ (* a 4) -4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ a 3)) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (* (- 3 a) (+ (* a a) -1)) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (- a 1))))) 1)) * * * * [misc]progress: [ 1636 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3)) (+ (* (* (* (+ a 3) (* b b)) (+ 1 a)) (- 729 (* (pow a 3) (pow a 3)))) (* (+ 81 (* (+ 9 (* a a)) (* a a))) (* (* (- 1 (* a a)) (- 9 (* a a))) (* a a))))) (* 4 (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3)) (+ a 3)) (* (* (+ 81 (* (+ 9 (* a a)) (* a a))) (* (- 3 a) (+ 1 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3)) (+ (* (* (* (+ a 3) (* b b)) (+ 1 a)) (- 729 (* (pow a 3) (pow a 3)))) (* (+ 81 (* (+ 9 (* a a)) (* a a))) (* (* (- 1 (* a a)) (- 9 (* a a))) (* a a))))) (* 4 (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3)) (+ a 3)) (* (* (+ 81 (* (+ 9 (* a a)) (* a a))) (* (- 3 a) (+ 1 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 1637 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 729 (pow (* a a) 3)) (* (* (+ a 3) (+ 1 a)) (* b b))) (* (+ 81 (* (+ 9 (* a a)) (* a a))) (* (* (* a a) (- 9 (* a a))) (- 1 (* a a))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ a 3)) (* (* (+ 81 (* (+ 9 (* a a)) (* a a))) (* (+ 1 a) (- 3 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 729 (pow (* a a) 3)) (* (* (+ a 3) (+ 1 a)) (* b b))) (* (+ 81 (* (+ 9 (* a a)) (* a a))) (* (* (* a a) (- 9 (* a a))) (- 1 (* a a))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ a 3)) (* (* (+ 81 (* (+ 9 (* a a)) (* a a))) (* (+ 1 a) (- 3 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 1638 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 3 a) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 27 (pow a 3)) (+ (pow a 3) 1)) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (+ a 3) (+ 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* 4 (+ (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ 9 (* a a)))) (* (- 81 (pow a 4)) (* (* (+ a 3) (+ 1 a)) (* b b)))))) (* (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 27 (pow a 3)) (+ (pow a 3) 1)) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (+ a 3) (+ 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* 4 (+ (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ 9 (* a a)))) (* (- 81 (pow a 4)) (* (* (+ a 3) (+ 1 a)) (* b b)))))) (* (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1639 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ 3 a) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ a 3) (+ 9 (* a a))) (* (- 9 (* a a)) (+ (pow a 3) 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ 9 (* a a)))) (* (* (+ a 3) (- 81 (pow a 4))) (* (+ 1 a) (* b b))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (* (* (* b 2) (* b (* a a))) (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ a 3) (+ 9 (* a a))) (* (- 9 (* a a)) (+ (pow a 3) 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ 9 (* a a)))) (* (* (+ a 3) (- 81 (pow a 4))) (* (+ 1 a) (* b b))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ a 3))) (+ (* (* (* b 2) (* b (* a a))) (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1640 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 3 a) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (* b 2) (* b (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* (+ 9 (* a (+ a 3))) (- a 1))) (* (* 4 (+ (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ 9 (* a a)))) (* (* (+ a 3) (+ 1 a)) (* (- 81 (pow a 4)) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (+ (* a a) -1) (- 27 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (+ a 3) (+ 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (* b 2) (* b (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* (+ 9 (* a (+ a 3))) (- a 1))) (* (* 4 (+ (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ 9 (* a a)))) (* (* (+ a 3) (+ 1 a)) (* (- 81 (pow a 4)) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (+ (* a a) -1) (- 27 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (+ a 3) (+ 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1641 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (+ 3 a) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (187 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ (* a a) -1) (- 9 (* a a)))) (* (* (+ a 3) (+ 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* (- a 1) (+ a 3))) (* (* 4 (+ (* (- 81 (* (* a a) (* a a))) (* (- 1 (* a a)) (* a a))) (* (* (* (+ a 3) (+ 1 a)) (* b b)) (- 81 (* (* a a) (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ (* a a) -1) (- 9 (* a a)))) (* (* (+ a 3) (+ 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* (- a 1) (+ a 3))) (* (* 4 (+ (* (- 81 (* (* a a) (* a a))) (* (- 1 (* a a)) (* a a))) (* (* (* (+ a 3) (+ 1 a)) (* b b)) (- 81 (* (* a a) (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1642 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 3 a) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (+ 9 (* a (+ a 3)))) (* (* 4 (+ (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ 9 (* a a)))) (* (* (* (+ a 3) (* b b)) (+ 1 a)) (- 81 (pow a 4))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (- 27 (pow a 3)) (+ 1 a)) (* (+ a 3) (+ 9 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (+ 9 (* a (+ a 3)))) (* (* 4 (+ (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ 9 (* a a)))) (* (* (* (+ a 3) (* b b)) (+ 1 a)) (- 81 (pow a 4))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (- 27 (pow a 3)) (+ 1 a)) (* (+ a 3) (+ 9 (* a a))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1643 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (+ 3 a) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ a 3)) (* (* (+ 9 (* a a)) (* (+ 1 a) (- 9 (* a a)))) (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (+ a 3)) (* (* 4 (+ (* (- 81 (* (* a a) (* a a))) (* (- 1 (* a a)) (* a a))) (* (- 81 (* (* a a) (* a a))) (* (* (+ a 3) (* b b)) (+ 1 a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ a 3)) (* (* (+ 9 (* a a)) (* (+ 1 a) (- 9 (* a a)))) (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (+ a 3)) (* (* 4 (+ (* (- 81 (* (* a a) (* a a))) (* (- 1 (* a a)) (* a a))) (* (- 81 (* (* a a) (* a a))) (* (* (+ a 3) (* b b)) (+ 1 a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1644 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ 3 a) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* 4 (+ (* (* (- 1 (* a a)) (+ 9 (* a a))) (* (* a a) (- 9 (* a a)))) (* (* (+ 1 a) (* b b)) (* (- 81 (pow a 4)) (+ a 3)))))) (* (+ (- 1 a) (* a a)) (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 1 (pow a 3)) (- 3 a))) (* (* (+ a 3) (+ 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* 4 (+ (* (* (- 1 (* a a)) (+ 9 (* a a))) (* (* a a) (- 9 (* a a)))) (* (* (+ 1 a) (* b b)) (* (- 81 (pow a 4)) (+ a 3)))))) (* (+ (- 1 a) (* a a)) (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ 1 (pow a 3)) (- 3 a))) (* (* (+ a 3) (+ 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1645 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (+ 3 a) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* 4 (+ (* (- 81 (* (* a a) (* a a))) (* (- 1 (* a a)) (* a a))) (* (- 81 (* (* a a) (* a a))) (* (* (+ a 3) (+ 1 a)) (* b b)))))) (* (+ a -1) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ a 3) (+ 9 (* a a)))) (* (* (- 3 a) (+ (* a a) -1)) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* 4 (+ (* (- 81 (* (* a a) (* a a))) (* (- 1 (* a a)) (* a a))) (* (- 81 (* (* a a) (* a a))) (* (* (+ a 3) (+ 1 a)) (* b b)))))) (* (+ a -1) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ a 3) (+ 9 (* a a)))) (* (* (- 3 a) (+ (* a a) -1)) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1646 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 3 a) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (201 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (- 27 (pow a 3)) (+ (pow a 3) 1)))) (* (* (+ a 3) (+ 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (+ (* (* (- 1 (* a a)) (+ 9 (* a a))) (* (* a a) (- 9 (* a a)))) (* (* (- 81 (pow a 4)) (* (+ 1 a) (* b b))) (+ a 3))) (* 4 (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (* (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (- 27 (pow a 3)) (+ (pow a 3) 1)))) (* (* (+ a 3) (+ 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (+ (* (* (- 1 (* a a)) (+ 9 (* a a))) (* (* a a) (- 9 (* a a)))) (* (* (- 81 (pow a 4)) (* (+ 1 a) (* b b))) (+ a 3))) (* 4 (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))) (* (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1647 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ 3 a) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* 4 (* (+ (* a a) (- 1 a)) (+ a 3))) (- (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (* (* (- 1 (* a a)) (+ 9 (* a a))) (* (* a a) (- 9 (* a a)))) (* (* (- 81 (pow a 4)) (* (+ 1 a) (* b b))) (+ a 3)))) (* (* (* (+ a 3) (+ 9 (* a a))) (* (- 9 (* a a)) (+ (pow a 3) 1))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* 4 (* (+ (* a a) (- 1 a)) (+ a 3))) (- (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (* (* (- 1 (* a a)) (+ 9 (* a a))) (* (* a a) (- 9 (* a a)))) (* (* (- 81 (pow a 4)) (* (+ 1 a) (* b b))) (+ a 3)))) (* (* (* (+ a 3) (+ 9 (* a a))) (* (- 9 (* a a)) (+ (pow a 3) 1))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1648 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 3 a) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ a 3)) (* (* (+ 9 (* a a)) (* (+ (* a a) -1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (- 1 (* a a)) (+ 9 (* a a))) (* (* a a) (- 9 (* a a)))) (* (* (- 81 (pow a 4)) (* (+ 1 a) (* b b))) (+ a 3)))) (* (* 4 (* (- a 1) (+ 9 (* a (+ a 3))))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ a 3)) (* (* (+ 9 (* a a)) (* (+ (* a a) -1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (- 1 (* a a)) (+ 9 (* a a))) (* (* a a) (- 9 (* a a)))) (* (* (- 81 (pow a 4)) (* (+ 1 a) (* b b))) (+ a 3)))) (* (* 4 (* (- a 1) (+ 9 (* a (+ a 3))))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1649 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (+ 3 a) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (* (+ a 3) (+ 9 (* a a))))) (* (* (* 4 (* (+ a 3) (+ a -1))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* (- 81 (* (* a a) (* a a))) (* (- 1 (* a a)) (* a a))) (* (- 81 (* (* a a) (* a a))) (* (* (+ a 3) (+ 1 a)) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (* (+ a 3) (+ 9 (* a a))))) (* (* (* 4 (* (+ a 3) (+ a -1))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* (- 81 (* (* a a) (* a a))) (* (- 1 (* a a)) (* a a))) (* (- 81 (* (* a a) (* a a))) (* (* (+ a 3) (+ 1 a)) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1650 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 3 a) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (184 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3)) (+ (* (+ (* (* (- 1 (* a a)) (+ 9 (* a a))) (* (* a a) (- 9 (* a a)))) (* (- 81 (pow a 4)) (* (* (+ a 3) (+ 1 a)) (* b b)))) (* (* 4 (+ (* a (+ a 3)) 9)) (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))))) (* (* (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))) (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (* (+ 1 a) (- 27 (pow a 3))) (* (+ a 3) (+ 9 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3)) (+ (* (+ (* (* (- 1 (* a a)) (+ 9 (* a a))) (* (* a a) (- 9 (* a a)))) (* (- 81 (pow a 4)) (* (* (+ a 3) (+ 1 a)) (* b b)))) (* (* 4 (+ (* a (+ a 3)) 9)) (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))))) (* (* (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))) (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (* (+ 1 a) (- 27 (pow a 3))) (* (+ a 3) (+ 9 (* a a))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1651 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (+ 3 a) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ a 3) (+ 9 (* a a))) (* (+ 1 a) (- 9 (* a a)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))) (* (* (* 4 (+ a 3)) (- (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (+ (* (- 81 (* (* a a) (* a a))) (* (- 1 (* a a)) (* a a))) (* (- 81 (* (* a a) (* a a))) (* (* (+ a 3) (+ 1 a)) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (+ a 3) (+ 9 (* a a))) (* (+ 1 a) (- 9 (* a a)))) (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))) (* (* (* 4 (+ a 3)) (- (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (+ (* (- 81 (* (* a a) (* a a))) (* (- 1 (* a a)) (* a a))) (* (- 81 (* (* a a) (* a a))) (* (* (+ a 3) (+ 1 a)) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1652 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ 3 a) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (+ (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (* (- 3 a) (+ 1 (pow a 3))) (* (+ a 3) (+ 9 (* a a))))) (* (* (* 4 (+ (* a a) (- 1 a))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ 9 (* a a)))) (* (* (* (+ a 3) (* b b)) (+ 1 a)) (- 81 (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (+ (* (* (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (* (- 3 a) (+ 1 (pow a 3))) (* (+ a 3) (+ 9 (* a a))))) (* (* (* 4 (+ (* a a) (- 1 a))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (* (* (* a a) (- 9 (* a a))) (* (- 1 (* a a)) (+ 9 (* a a)))) (* (* (* (+ a 3) (* b b)) (+ 1 a)) (- 81 (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1653 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (+ 3 a) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)) (+ (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (* (- 3 a) (+ (* a a) -1)) (* (+ a 3) (+ 9 (* a a))))) (* (+ (* (- 81 (* (* a a) (* a a))) (* (- 1 (* a a)) (* a a))) (* (* (* (+ a 3) (* b b)) (+ 1 a)) (- 81 (* (* a a) (* a a))))) (* (* 4 (+ a -1)) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3)) (+ (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (* (- 3 a) (+ (* a a) -1)) (* (+ a 3) (+ 9 (* a a))))) (* (+ (* (- 81 (* (* a a) (* a a))) (* (- 1 (* a a)) (* a a))) (* (* (* (+ a 3) (* b b)) (+ 1 a)) (- 81 (* (* a a) (* a a))))) (* (* 4 (+ a -1)) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1654 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 3 a) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (* (+ a 3) (+ 9 (* a a))))) (* (+ (* (* (- 1 (* a a)) (+ 9 (* a a))) (* (* a a) (- 9 (* a a)))) (* (* (- 81 (pow a 4)) (* (+ 1 a) (* b b))) (+ a 3))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (* (+ a 3) (+ 9 (* a a))))) (* (+ (* (* (- 1 (* a a)) (+ 9 (* a a))) (* (* a a) (- 9 (* a a)))) (* (* (- 81 (pow a 4)) (* (+ 1 a) (* b b))) (+ a 3))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ 9 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1655 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (+ 3 a) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (164 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ a 3) (+ 9 (* a a))) (* (- 9 (* a a)) (+ (pow a 3) 1))) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (- 1 (* a a)) (+ 9 (* a a))) (* (* a a) (- 9 (* a a)))) (* (* (- 81 (pow a 4)) (* (+ 1 a) (* b b))) (+ a 3))) (* (* 4 (+ a 3)) (+ (- 1 a) (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ a 3) (+ 9 (* a a))) (* (- 9 (* a a)) (+ (pow a 3) 1))) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (- 1 (* a a)) (+ 9 (* a a))) (* (* a a) (- 9 (* a a)))) (* (* (- 81 (pow a 4)) (* (+ 1 a) (* b b))) (+ a 3))) (* (* 4 (+ a 3)) (+ (- 1 a) (* a a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ 9 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1656 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 3 a) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* 4 (- a 1)) (+ 9 (* a (+ a 3)))) (+ (* (* (- 1 (* a a)) (+ 9 (* a a))) (* (* a a) (- 9 (* a a)))) (* (* (- 81 (pow a 4)) (* (+ 1 a) (* b b))) (+ a 3)))) (* (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (* (+ a 3) (+ 9 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* 4 (- a 1)) (+ 9 (* a (+ a 3)))) (+ (* (* (- 1 (* a a)) (+ 9 (* a a))) (* (* a a) (- 9 (* a a)))) (* (* (- 81 (pow a 4)) (* (+ 1 a) (* b b))) (+ a 3)))) (* (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (* (+ a 3) (+ 9 (* a a))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ 9 (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1657 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ 3 a))) (* (* (+ 3 a) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (157 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* 4 (+ a 3)) (- a 1)) (+ (* (- 81 (* (* a a) (* a a))) (* (- 1 (* a a)) (* a a))) (* (- 81 (* (* a a) (* a a))) (* (* (+ a 3) (* b b)) (+ 1 a))))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (* (* (+ (* a a) -1) (- 9 (* a a))) (* (+ a 3) (+ 9 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* 4 (+ a 3)) (- a 1)) (+ (* (- 81 (* (* a a) (* a a))) (* (- 1 (* a a)) (* a a))) (* (- 81 (* (* a a) (* a a))) (* (* (+ a 3) (* b b)) (+ 1 a))))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (* (* (+ (* a a) -1) (- 9 (* a a))) (* (+ a 3) (+ 9 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ 9 (* a a))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1658 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (+ 3 a) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (- 27 (pow a 3)) (+ 1 a)) (* (+ a 3) (+ 9 (* a a))))) (* (+ (* (* a (+ a 3)) 4) 36) (+ (* (* (- 1 (* a a)) (+ 9 (* a a))) (* (* a a) (- 9 (* a a)))) (* (* (+ 1 a) (* b b)) (* (- 81 (pow a 4)) (+ a 3)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (- 27 (pow a 3)) (+ 1 a)) (* (+ a 3) (+ 9 (* a a))))) (* (+ (* (* a (+ a 3)) 4) 36) (+ (* (* (- 1 (* a a)) (+ 9 (* a a))) (* (* a a) (- 9 (* a a)))) (* (* (+ 1 a) (* b b)) (* (- 81 (pow a 4)) (+ a 3)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ 9 (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1659 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ 3 a)) (* (* (+ 3 a) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (146 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ a 3) (+ 9 (* a a))) (* (+ 1 a) (- 9 (* a a)))) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ a 3)) (* 4 (+ (* (- 81 (* (* a a) (* a a))) (* (- 1 (* a a)) (* a a))) (* (- 81 (* (* a a) (* a a))) (* (* (+ a 3) (+ 1 a)) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ a 3) (+ 9 (* a a))) (* (+ 1 a) (- 9 (* a a)))) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ a 3)) (* 4 (+ (* (- 81 (* (* a a) (* a a))) (* (- 1 (* a a)) (* a a))) (* (- 81 (* (* a a) (* a a))) (* (* (+ a 3) (+ 1 a)) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ 9 (* a a))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 1660 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))) (* (* (- 3 a) (+ 1 (pow a 3))) (* (+ a 3) (+ 9 (* a a))))) (* (* (+ (- 1 a) (* a a)) 4) (+ (* (* (- 1 (* a a)) (+ 9 (* a a))) (* (* a a) (- 9 (* a a)))) (* (* (- 81 (pow a 4)) (* (+ 1 a) (* b b))) (+ a 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))) (* (* (- 3 a) (+ 1 (pow a 3))) (* (+ a 3) (+ 9 (* a a))))) (* (* (+ (- 1 a) (* a a)) 4) (+ (* (* (- 1 (* a a)) (+ 9 (* a a))) (* (* a a) (- 9 (* a a)))) (* (* (- 81 (pow a 4)) (* (+ 1 a) (* b b))) (+ a 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ 9 (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 1661 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- a 1)) (* (* (+ 3 a) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (149 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ a 3) (+ 9 (* a a))) (* (- (* a a) 1) (- 3 a))) (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* (- 81 (* (* a a) (* a a))) (* (- 1 (* a a)) (* a a))) (* (* (* (+ a 3) (+ 1 a)) (* b b)) (- 81 (* (* a a) (* a a))))) (* (- a 1) 4))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (+ a 3) (+ 9 (* a a))) (* (- (* a a) 1) (- 3 a))) (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (* (- 81 (* (* a a) (* a a))) (* (- 1 (* a a)) (* a a))) (* (* (* (+ a 3) (+ 1 a)) (* b b)) (- 81 (* (* a a) (* a a))))) (* (- a 1) 4))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ 9 (* a a))) (- a 1))))) 1)) * * * * [misc]progress: [ 1662 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (+ 3 a) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (* b 2) (* b (* a a))) (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* 4 (+ (* (- 81 (* (* a a) (* a a))) (* (- 1 (* a a)) (* a a))) (* (- 81 (* (* a a) (* a a))) (* (+ a 3) (* (+ 1 a) (* b b))))))) (* (* (* (+ a 3) (+ 9 (* a a))) (* (+ 1 a) (- 3 a))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (* (* b 2) (* b (* a a))) (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* 4 (+ (* (- 81 (* (* a a) (* a a))) (* (- 1 (* a a)) (* a a))) (* (- 81 (* (* a a) (* a a))) (* (+ a 3) (* (+ 1 a) (* b b))))))) (* (* (* (+ a 3) (+ 9 (* a a))) (* (+ 1 a) (- 3 a))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ 9 (* a a))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 1663 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ 9 (* a a))) (* (+ 3 a) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ 3 a) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * [exit]simplify: Simplified to (* (+ (* (* (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))) 4) (+ (* (- 81 (* (* a a) (* a a))) (* (- 1 (* a a)) (* a a))) (* (- 81 (* (* a a) (* a a))) (* (* (+ a 3) (+ 1 a)) (* b b))))) (* (* (* (+ a 3) (+ 9 (* a a))) (* (- 3 a) (+ 1 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))) 4) (+ (* (- 81 (* (* a a) (* a a))) (* (- 1 (* a a)) (* a a))) (* (- 81 (* (* a a) (* a a))) (* (* (+ a 3) (+ 1 a)) (* b b))))) (* (* (* (+ a 3) (+ 9 (* a a))) (* (- 3 a) (+ 1 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ 9 (* a a))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 1664 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) (- 1 a)) (+ a 3)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3)))) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (* (+ (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 9 (* a a))) (* (* (* a a) (- 9 (* a a))) (* (+ (* a a) (- 1 a)) (- 1 (* a a))))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* a a) (- 1 a)) (+ a 3)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3)))) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (* (+ (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 9 (* a a))) (* (* (* a a) (- 9 (* a a))) (* (+ (* a a) (- 1 a)) (- 1 (* a a))))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1665 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a a) (- 1 a)) (+ a 3))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (* a a) (- 1 a)) (+ a 3)) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (* (+ (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 9 (* a a))) (* (* (+ (* a a) (- 1 a)) (- 9 (* a a))) (* (- 1 (* a a)) (* a a)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* a a) (- 1 a)) (+ a 3))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (* (+ (* a a) (- 1 a)) (+ a 3)) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (* (+ (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 9 (* a a))) (* (* (+ (* a a) (- 1 a)) (- 9 (* a a))) (* (- 1 (* a a)) (* a a)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1666 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (203 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) (- 1 a)) (+ a 3)) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (- 27 (pow a 3)) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (- 9 (* a a)))) (* (* (+ (* a a) (- 1 a)) (- 9 (* a a))) (* (- 1 (* a a)) (* a a)))) 4)) (* (* (+ (* a (+ a 3)) 9) (- a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* a a) (- 1 a)) (+ a 3)) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (- 27 (pow a 3)) (+ (* a a) -1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (* (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (- 9 (* a a)))) (* (* (+ (* a a) (- 1 a)) (- 9 (* a a))) (* (- 1 (* a a)) (* a a)))) 4)) (* (* (+ (* a (+ a 3)) 9) (- a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1667 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (187 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ a 3) (- a 1)) (+ (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (* (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ a 3))) (* (* (+ (* a a) (- 1 a)) (- 1 (* a a))) (* (* a a) (- 9 (* a a))))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)) (+ a 3)) (* (* (+ (* a a) (- 1 a)) (* (+ (* a a) -1) (- 9 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ a 3) (- a 1)) (+ (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (* (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ a 3))) (* (* (+ (* a a) (- 1 a)) (- 1 (* a a))) (* (* a a) (- 9 (* a a))))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)) (+ a 3)) (* (* (+ (* a a) (- 1 a)) (* (+ (* a a) -1) (- 9 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1668 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ 1 a) (- 27 (pow a 3))) (* (+ (* a a) (- 1 a)) (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ a 3))) (* (* (+ (* a a) (- 1 a)) (- 1 (* a a))) (* (* a a) (- 9 (* a a))))) 4)) (* (+ 9 (* a (+ a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ 1 a) (- 27 (pow a 3))) (* (+ (* a a) (- 1 a)) (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ a 3))) (* (* (+ (* a a) (- 1 a)) (- 1 (* a a))) (* (* a a) (- 9 (* a a))))) 4)) (* (+ 9 (* a (+ a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1669 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ a 3))) (* (* (+ (* a a) (- 1 a)) (- 9 (* a a))) (* (- 1 (* a a)) (* a a)))) 4)) (* (+ a 3) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 1 a) (- 9 (* a a))) (* (+ (* a a) (- 1 a)) (+ a 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ a 3))) (* (* (+ (* a a) (- 1 a)) (- 9 (* a a))) (* (- 1 (* a a)) (* a a)))) 4)) (* (+ a 3) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ 1 a) (- 9 (* a a))) (* (+ (* a a) (- 1 a)) (+ a 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1670 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (* (* (+ (* a a) (- 1 a)) (+ a 3)) (* (- 3 a) (+ 1 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* (+ a 3) (- 9 (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (* (+ (* a a) (- 1 a)) (- 9 (* a a))) (* (- 1 (* a a)) (* a a))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (* (* (+ (* a a) (- 1 a)) (+ a 3)) (* (- 3 a) (+ 1 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (* (+ a 3) (- 9 (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (* (+ (* a a) (- 1 a)) (- 9 (* a a))) (* (- 1 (* a a)) (* a a))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1671 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ (* a a) (- 1 a)) (+ a 3)) (* (+ (* a a) -1) (- 3 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 9 (* a a))) (* (* (+ (* a a) (- 1 a)) (- 1 (* a a))) (* (* a a) (- 9 (* a a)))))) (* (* 4 (- a 1)) (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ (* a a) (- 1 a)) (+ a 3)) (* (+ (* a a) -1) (- 3 a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 9 (* a a))) (* (* (+ (* a a) (- 1 a)) (- 1 (* a a))) (* (* a a) (- 9 (* a a)))))) (* (* 4 (- a 1)) (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1672 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ (* a a) (- 1 a)) (+ a 3)) (* (- 27 (pow a 3)) (+ 1 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))) (* (+ 9 (* a (+ a 3))) (+ (* a a) (- 1 a))))) (* (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ a 3))) (* (* (* a a) (- 9 (* a a))) (* (+ (* a a) (- 1 a)) (- 1 (* a a))))) 4))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ (* a a) (- 1 a)) (+ a 3)) (* (- 27 (pow a 3)) (+ 1 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))) (* (+ 9 (* a (+ a 3))) (+ (* a a) (- 1 a))))) (* (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ a 3))) (* (* (* a a) (- 9 (* a a))) (* (+ (* a a) (- 1 a)) (- 1 (* a a))))) 4))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1673 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ (* a a) (- 1 a)) (+ a 3)) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a)))))) (* (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ a 3))) (* (* (+ (* a a) (- 1 a)) (- 9 (* a a))) (* (- 1 (* a a)) (* a a)))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ a 3))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ (* a a) (- 1 a)) (+ a 3)) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a)))))) (* (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ a 3))) (* (* (+ (* a a) (- 1 a)) (- 9 (* a a))) (* (- 1 (* a a)) (* a a)))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ a 3))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1674 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (* (+ (* a a) (- 1 a)) (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ a 3))) (* (* (* a a) (- 9 (* a a))) (* (+ (* a a) (- 1 a)) (- 1 (* a a))))) (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) (* (* (+ 9 (* a (+ a 3))) (- a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (* (+ (* a a) (- 1 a)) (+ a 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ a 3))) (* (* (* a a) (- 9 (* a a))) (* (+ (* a a) (- 1 a)) (- 1 (* a a))))) (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) (* (* (+ 9 (* a (+ a 3))) (- a 1)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1675 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 9 (* a a))) (* (* (+ (* a a) (- 1 a)) (- 1 (* a a))) (* (* a a) (- 9 (* a a))))) (* (* 4 (* (- a 1) (+ a 3))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (* (+ (* a a) (- 1 a)) (+ a 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 9 (* a a))) (* (* (+ (* a a) (- 1 a)) (- 1 (* a a))) (* (* a a) (- 9 (* a a))))) (* (* 4 (* (- a 1) (+ a 3))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (* (+ (* a a) (- 1 a)) (+ a 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1676 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (187 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (+ (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 9 (* a a))) (* (* (+ (* a a) (- 1 a)) (- 9 (* a a))) (* (- 1 (* a a)) (* a a)))) (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))) (* (* (* (+ (* a a) (- 1 a)) (+ a 3)) (* (+ 1 a) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (+ (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 9 (* a a))) (* (* (+ (* a a) (- 1 a)) (- 9 (* a a))) (* (- 1 (* a a)) (* a a)))) (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))) (* (* (* (+ (* a a) (- 1 a)) (+ a 3)) (* (+ 1 a) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1677 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (* (* (- 9 (* a a)) (+ 1 a)) (* (+ (* a a) (- 1 a)) (+ a 3)))) (* (+ (* (* (+ a 3) (- 9 (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (* (* a a) (- 9 (* a a))) (* (+ (* a a) (- 1 a)) (- 1 (* a a))))) (* (* 4 (+ a 3)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (* (* (- 9 (* a a)) (+ 1 a)) (* (+ (* a a) (- 1 a)) (+ a 3)))) (* (+ (* (* (+ a 3) (- 9 (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (* (* a a) (- 9 (* a a))) (* (+ (* a a) (- 1 a)) (- 1 (* a a))))) (* (* 4 (+ a 3)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1678 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (* (+ 1 (pow a 3)) (- 3 a)) (* (+ (* a a) (- 1 a)) (+ a 3)))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (- 9 (* a a)))) (* (* (+ (* a a) (- 1 a)) (- 9 (* a a))) (* (- 1 (* a a)) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (* (+ 1 (pow a 3)) (- 3 a)) (* (+ (* a a) (- 1 a)) (+ a 3)))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (- 9 (* a a)))) (* (* (+ (* a a) (- 1 a)) (- 9 (* a a))) (* (- 1 (* a a)) (* a a))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1679 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (* (+ (* a a) -1) (- 3 a)) (* (+ (* a a) (- 1 a)) (+ a 3)))) (* (* (* 4 (- a 1)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 9 (* a a))) (* (* (* a a) (- 9 (* a a))) (* (+ (* a a) (- 1 a)) (- 1 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))) (* (* (+ (* a a) -1) (- 3 a)) (* (+ (* a a) (- 1 a)) (+ a 3)))) (* (* (* 4 (- a 1)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 9 (* a a))) (* (* (* a a) (- 9 (* a a))) (* (+ (* a a) (- 1 a)) (- 1 (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1680 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (- 9 (* a a)))) (* (* (* a a) (- 9 (* a a))) (* (+ (* a a) (- 1 a)) (- 1 (* a a))))) (* (* 4 (+ (* a a) (- 1 a))) (+ 9 (* a (+ a 3))))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (* (+ (* a a) (- 1 a)) (+ a 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (- 9 (* a a)))) (* (* (* a a) (- 9 (* a a))) (* (+ (* a a) (- 1 a)) (- 1 (* a a))))) (* (* 4 (+ (* a a) (- 1 a))) (+ 9 (* a (+ a 3))))) (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (* (+ (* a a) (- 1 a)) (+ a 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1681 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (150 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (- 9 (* a a)))) (* (* (+ (* a a) (- 1 a)) (- 9 (* a a))) (* (- 1 (* a a)) (* a a)))) (* (* 4 (+ a 3)) (+ (* a a) (- 1 a)))) (* (* (* (+ (* a a) (- 1 a)) (+ a 3)) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (* (+ a 3) (+ 1 (pow a 3))) (* (* b b) (- 9 (* a a)))) (* (* (+ (* a a) (- 1 a)) (- 9 (* a a))) (* (- 1 (* a a)) (* a a)))) (* (* 4 (+ a 3)) (+ (* a a) (- 1 a)))) (* (* (* (+ (* a a) (- 1 a)) (+ a 3)) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1682 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* 4 (- a 1)) (+ 9 (* a (+ a 3)))) (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ a 3))) (* (* (+ (* a a) (- 1 a)) (- 1 (* a a))) (* (* a a) (- 9 (* a a)))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (* (- 27 (pow a 3)) (+ (* a a) -1)) (* (+ (* a a) (- 1 a)) (+ a 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* 4 (- a 1)) (+ 9 (* a (+ a 3)))) (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ a 3))) (* (* (+ (* a a) (- 1 a)) (- 1 (* a a))) (* (* a a) (- 9 (* a a)))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (* (- 27 (pow a 3)) (+ (* a a) -1)) (* (+ (* a a) (- 1 a)) (+ a 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1683 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- a 1) (+ 3 a))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* (* (+ (* a a) -1) (- 9 (* a a))) (* (+ (* a a) (- 1 a)) (+ a 3)))) (* (+ (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 9 (* a a))) (* (* (+ (* a a) (- 1 a)) (- 1 (* a a))) (* (* a a) (- 9 (* a a))))) (* 4 (* (- a 1) (+ a 3))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* (* (+ (* a a) -1) (- 9 (* a a))) (* (+ (* a a) (- 1 a)) (+ a 3)))) (* (+ (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 9 (* a a))) (* (* (+ (* a a) (- 1 a)) (- 1 (* a a))) (* (* a a) (- 9 (* a a))))) (* 4 (* (- a 1) (+ a 3))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1684 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (166 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (* (+ 1 a) (- 27 (pow a 3))) (* (+ (* a a) (- 1 a)) (+ a 3)))) (* (+ (* (* (+ a 3) (- 9 (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (* (+ (* a a) (- 1 a)) (- 1 (* a a))) (* (* a a) (- 9 (* a a))))) (+ 36 (* 4 (* a (+ a 3))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (* (+ 1 a) (- 27 (pow a 3))) (* (+ (* a a) (- 1 a)) (+ a 3)))) (* (+ (* (* (+ a 3) (- 9 (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (* (+ (* a a) (- 1 a)) (- 1 (* a a))) (* (* a a) (- 9 (* a a))))) (+ 36 (* 4 (* a (+ a 3))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1685 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (+ 3 a)) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (150 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* (+ 1 a) (- 9 (* a a))) (* (+ (* a a) (- 1 a)) (+ a 3)))) (* (* (+ a 3) 4) (+ (* (* (+ a 3) (- 9 (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (* (+ (* a a) (- 1 a)) (- 9 (* a a))) (* (- 1 (* a a)) (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* (+ 1 a) (- 9 (* a a))) (* (+ (* a a) (- 1 a)) (+ a 3)))) (* (* (+ a 3) 4) (+ (* (* (+ a 3) (- 9 (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (* (+ (* a a) (- 1 a)) (- 9 (* a a))) (* (- 1 (* a a)) (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 1686 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (150 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ (* a a) (- 1 a)) (+ a 3)) (* (+ 1 (pow a 3)) (- 3 a))) (+ (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (* (- 9 (* a a)) (* (* (+ a 3) (* b b)) (+ 1 (pow a 3)))) (* (* (+ (* a a) (- 1 a)) (- 1 (* a a))) (* (* a a) (- 9 (* a a))))) (* 4 (+ (* a a) (- 1 a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (+ (* a a) (- 1 a)) (+ a 3)) (* (+ 1 (pow a 3)) (- 3 a))) (+ (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (* (- 9 (* a a)) (* (* (+ a 3) (* b b)) (+ 1 (pow a 3)))) (* (* (+ (* a a) (- 1 a)) (- 1 (* a a))) (* (* a a) (- 9 (* a a))))) (* 4 (+ (* a a) (- 1 a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 1687 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (- a 1)) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (150 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* a 4) -4) (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ a 3))) (* (* (* a a) (- 9 (* a a))) (* (+ (* a a) (- 1 a)) (- 1 (* a a)))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (* (+ (* a a) -1) (- 3 a)) (* (+ (* a a) (- 1 a)) (+ a 3))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* a 4) -4) (+ (* (* (+ 1 (pow a 3)) (* b b)) (* (- 9 (* a a)) (+ a 3))) (* (* (* a a) (- 9 (* a a))) (* (+ (* a a) (- 1 a)) (- 1 (* a a)))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (* (+ (* a a) -1) (- 3 a)) (* (+ (* a a) (- 1 a)) (+ a 3))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (- a 1))))) 1)) * * * * [misc]progress: [ 1688 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (- 3 a) (+ 1 a)) (* (+ (* a a) (- 1 a)) (+ a 3)))) (* (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 9 (* a a))) (* (* (+ (* a a) (- 1 a)) (- 9 (* a a))) (* (- 1 (* a a)) (* a a)))) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (- 3 a) (+ 1 a)) (* (+ (* a a) (- 1 a)) (+ a 3)))) (* (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 9 (* a a))) (* (* (+ (* a a) (- 1 a)) (- 9 (* a a))) (* (- 1 (* a a)) (* a a)))) 4)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 1689 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ 3 a) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (162 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ (* a a) (- 1 a)) (+ a 3)) (* (- 3 a) (+ 1 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (+ (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 9 (* a a))) (* (* (+ (* a a) (- 1 a)) (- 9 (* a a))) (* (- 1 (* a a)) (* a a)))) (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* (+ (* a a) (- 1 a)) (+ a 3)) (* (- 3 a) (+ 1 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (+ (* (* (* (+ a 3) (* b b)) (+ 1 (pow a 3))) (- 9 (* a a))) (* (* (+ (* a a) (- 1 a)) (- 9 (* a a))) (* (- 1 (* a a)) (* a a)))) (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (+ (* a a) (- (* 1 1) (* a 1)))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 1690 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 3 a) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (- a 1) (- 1 (* a a))) (* (* a a) (- 9 (* a a)))) (* (* (+ a 3) (+ (* a a) -1)) (* (* b b) (- 9 (* a a))))) 4) (+ (* (* (* b 2) (* b (* a a))) (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (* (+ 9 (* a (+ a 3))) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- 27 (pow a 3)) (+ (pow a 3) 1)) (* (+ a 3) (- a 1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (- a 1) (- 1 (* a a))) (* (* a a) (- 9 (* a a)))) (* (* (+ a 3) (+ (* a a) -1)) (* (* b b) (- 9 (* a a))))) 4) (+ (* (* (* b 2) (* b (* a a))) (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (* (+ 9 (* a (+ a 3))) (+ (* a a) (- 1 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- 27 (pow a 3)) (+ (pow a 3) 1)) (* (+ a 3) (- a 1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1691 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ 3 a) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (* (+ a 3) (+ -1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (+ (* (* (+ -1 a) (- 1 (* a a))) (* (* a a) (- 9 (* a a)))) (* (* (+ a 3) (+ (* a a) -1)) (* (* b b) (- 9 (* a a))))) 4)) (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* (+ a 3) (+ (* a a) (- 1 a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (* (+ a 3) (+ -1 a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (+ (* (* (+ -1 a) (- 1 (* a a))) (* (* a a) (- 9 (* a a)))) (* (* (+ a 3) (+ (* a a) -1)) (* (* b b) (- 9 (* a a))))) 4)) (* (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* (+ a 3) (+ (* a a) (- 1 a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1692 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 3 a) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* a a) (- 9 (* a a))) (* (- a 1) (- 1 (* a a)))) (* (* (+ a 3) (- (* a a) 1)) (* (* b b) (- 9 (* a a)))))) (* (* 4 (* (+ 9 (* a (+ a 3))) (- a 1))) (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ a 3) (- a 1)) (* (- 27 (pow a 3)) (- (* a a) 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* a a) (- 9 (* a a))) (* (- a 1) (- 1 (* a a)))) (* (* (+ a 3) (- (* a a) 1)) (* (* b b) (- 9 (* a a)))))) (* (* 4 (* (+ 9 (* a (+ a 3))) (- a 1))) (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ a 3) (- a 1)) (* (- 27 (pow a 3)) (- (* a a) 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1693 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (+ 3 a) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (+ (* a a) -1) (- 9 (* a a))) (* (+ a 3) (- a 1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* (- a 1) (- 1 (* a a))) (* (* a a) (- 9 (* a a)))) (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 9 (* a a)))) 4)) (* (* (+ a 3) (- a 1)) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (+ (* a a) -1) (- 9 (* a a))) (* (+ a 3) (- a 1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* (- a 1) (- 1 (* a a))) (* (* a a) (- 9 (* a a)))) (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 9 (* a a)))) 4)) (* (* (+ a 3) (- a 1)) (+ (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1694 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 3 a) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (* a a) (- 9 (* a a))) (* (- a 1) (- 1 (* a a)))) (* (* (- (* a a) 1) (* b b)) (* (- 9 (* a a)) (+ a 3)))) 4) (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (+ 9 (* a (+ a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (- 27 (pow a 3)) (+ 1 a)) (* (+ a 3) (- a 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (* a a) (- 9 (* a a))) (* (- a 1) (- 1 (* a a)))) (* (* (- (* a a) 1) (* b b)) (* (- 9 (* a a)) (+ a 3)))) 4) (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (+ 9 (* a (+ a 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (- 27 (pow a 3)) (+ 1 a)) (* (+ a 3) (- a 1)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1695 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (+ 3 a) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3)) (+ a 3)) (* (* (- a 1) (* (- 9 (* a a)) (+ 1 a))) (+ (pow (* (* b 2) (* b (* a a))) 3) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (+ (* (* (* b 2) (* b (* a a))) (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (+ a 3)) (* (* (+ (* (* (- a 1) (- 9 (* a a))) (* (- 1 (* a a)) (* a a))) (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 9 (* a a)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3)) (+ a 3)) (* (* (- a 1) (* (- 9 (* a a)) (+ 1 a))) (+ (pow (* (* b 2) (* b (* a a))) 3) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (+ (* (* (* b 2) (* b (* a a))) (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (+ a 3)) (* (* (+ (* (* (- a 1) (- 9 (* a a))) (* (- 1 (* a a)) (* a a))) (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 9 (* a a)))) 4) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1696 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ 3 a) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ a 3) (+ a -1)) (* (+ (pow a 3) 1) (- 3 a))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* (+ a -1) (- 9 (* a a))) (* (- 1 (* a a)) (* a a))) (* (* (+ a 3) (+ (* a a) -1)) (* (* b b) (- 9 (* a a))))) 4)) (* (+ (* a a) (- 1 a)) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ a 3) (+ a -1)) (* (+ (pow a 3) 1) (- 3 a))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (* (+ a -1) (- 9 (* a a))) (* (- 1 (* a a)) (* a a))) (* (* (+ a 3) (+ (* a a) -1)) (* (* b b) (- 9 (* a a))))) 4)) (* (+ (* a a) (- 1 a)) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1697 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (+ 3 a) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (- a 1) (- 1 (* a a))) (* (* a a) (- 9 (* a a)))) (* (* (+ a 3) (- 9 (* a a))) (* (- (* a a) 1) (* b b)))) 4) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (- a 1) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (* (+ a 3) (- a 1)) (* (- (* a a) 1) (- 3 a))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (- a 1) (- 1 (* a a))) (* (* a a) (- 9 (* a a)))) (* (* (+ a 3) (- 9 (* a a))) (* (- (* a a) 1) (* b b)))) 4) (+ (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (- a 1) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (* (* (+ a 3) (- a 1)) (* (- (* a a) 1) (- 3 a))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1698 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 3 a) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (184 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ a 3)) (* (* (+ a -1) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* a a) (- 9 (* a a))) (* (+ a -1) (- 1 (* a a)))) (* (* (+ a 3) (- 9 (* a a))) (* (+ (* a a) -1) (* b b))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ a 3)) (* (* (+ a -1) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (* (* a a) (- 9 (* a a))) (* (+ a -1) (- 1 (* a a)))) (* (* (+ a 3) (- 9 (* a a))) (* (+ (* a a) -1) (* b b))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1699 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (+ 3 a) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (+ (* (* (+ a -1) (- 1 (* a a))) (* (* a a) (- 9 (* a a)))) (* (- 9 (* a a)) (* (* (+ a 3) (* b b)) (+ (* a a) -1)))) (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) (* (* (* (+ a 3) (+ a -1)) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (+ (* (+ (* (* (+ a -1) (- 1 (* a a))) (* (* a a) (- 9 (* a a)))) (* (- 9 (* a a)) (* (* (+ a 3) (* b b)) (+ (* a a) -1)))) (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))) (* (* (* (+ a 3) (+ a -1)) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1700 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (+ 3 a) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* a a) (- 9 (* a a))) (* (+ a -1) (- 1 (* a a)))) (* (* (+ (* a a) -1) (* b b)) (* (- 9 (* a a)) (+ a 3)))) 4) (* (* (* (+ a -1) (+ 9 (* a (+ a 3)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ a 3) (+ a -1))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b (* b 2)) (* a a)) (* (* b (* b 2)) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* a a) (- 9 (* a a))) (* (+ a -1) (- 1 (* a a)))) (* (* (+ (* a a) -1) (* b b)) (* (- 9 (* a a)) (+ a 3)))) 4) (* (* (* (+ a -1) (+ 9 (* a (+ a 3)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ a 3) (+ a -1))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b (* b 2)) (* a a)) (* (* b (* b 2)) (* a a))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1701 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (+ 3 a) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ a 3) (- a 1)) (* (- (* a a) 1) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))) (* (* (* 4 (* (+ a 3) (- a 1))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (+ (* (* (- a 1) (- 9 (* a a))) (* (- 1 (* a a)) (* a a))) (* (- 9 (* a a)) (* (* (+ a 3) (* b b)) (- (* a a) 1)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (+ a 3) (- a 1)) (* (- (* a a) 1) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))) (* (* (* 4 (* (+ a 3) (- a 1))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (+ (* (* (- a 1) (- 9 (* a a))) (* (- 1 (* a a)) (* a a))) (* (- 9 (* a a)) (* (* (+ a 3) (* b b)) (- (* a a) 1)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1702 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 3 a) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (* (- a 1) (- 9 (* a a))) (* (- 1 (* a a)) (* a a))) (* (* (+ (* a a) -1) (* b b)) (* (- 9 (* a a)) (+ a 3)))) (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (* (+ 1 a) (- 27 (pow a 3))) (* (+ a 3) (- a 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (* (- a 1) (- 9 (* a a))) (* (- 1 (* a a)) (* a a))) (* (* (+ (* a a) -1) (* b b)) (* (- 9 (* a a)) (+ a 3)))) (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (* (+ 1 a) (- 27 (pow a 3))) (* (+ a 3) (- a 1)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1703 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (+ 3 a) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (- a 1) (- 1 (* a a))) (* (* a a) (- 9 (* a a)))) (* (* (- (* a a) 1) (* b b)) (* (- 9 (* a a)) (+ a 3)))) (* (* 4 (+ a 3)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))) (* (* (* (+ a 3) (- a 1)) (* (+ 1 a) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (* (- a 1) (- 1 (* a a))) (* (* a a) (- 9 (* a a)))) (* (* (- (* a a) 1) (* b b)) (* (- 9 (* a a)) (+ a 3)))) (* (* 4 (+ a 3)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))) (* (* (* (+ a 3) (- a 1)) (* (+ 1 a) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1704 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (+ 3 a) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (166 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (* (- a 1) (- 9 (* a a))) (* (- 1 (* a a)) (* a a))) (* (* (+ (* a a) -1) (* b b)) (* (- 9 (* a a)) (+ a 3))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (* (+ 1 (pow a 3)) (- 3 a)) (* (+ a 3) (- a 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (* (- a 1) (- 9 (* a a))) (* (- 1 (* a a)) (* a a))) (* (* (+ (* a a) -1) (* b b)) (* (- 9 (* a a)) (+ a 3))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (* (+ 1 (pow a 3)) (- 3 a)) (* (+ a 3) (- a 1)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1705 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (+ 3 a) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* 4 (+ a -1)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (* (+ a -1) (- 9 (* a a))) (* (- 1 (* a a)) (* a a))) (* (* (+ a 3) (- 9 (* a a))) (* (+ (* a a) -1) (* b b))))) (* (* (* (+ a 3) (+ a -1)) (* (- 3 a) (+ (* a a) -1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* 4 (+ a -1)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (* (+ a -1) (- 9 (* a a))) (* (- 1 (* a a)) (* a a))) (* (* (+ a 3) (- 9 (* a a))) (* (+ (* a a) -1) (* b b))))) (* (* (* (+ a 3) (+ a -1)) (* (- 3 a) (+ (* a a) -1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1706 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 3 a) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)) (+ (* (* (* a a) (- 9 (* a a))) (* (- a 1) (- 1 (* a a)))) (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 9 (* a a))))) (* (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (* (+ a 3) (- a 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)) (+ (* (* (* a a) (- 9 (* a a))) (* (- a 1) (- 1 (* a a)))) (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 9 (* a a))))) (* (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (* (+ a 3) (- a 1)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (- a 1)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1707 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (+ 3 a) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* (+ (pow a 3) 1) (- 9 (* a a))) (* (+ a 3) (- a 1)))) (* (+ (* (* (- a 1) (- 1 (* a a))) (* (* a a) (- 9 (* a a)))) (* (* (+ a 3) (+ (* a a) -1)) (* (* b b) (- 9 (* a a))))) (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* (+ (pow a 3) 1) (- 9 (* a a))) (* (+ a 3) (- a 1)))) (* (+ (* (* (- a 1) (- 1 (* a a))) (* (* a a) (- 9 (* a a)))) (* (* (+ a 3) (+ (* a a) -1)) (* (* b b) (- 9 (* a a))))) (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (- a 1)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1708 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (+ 3 a) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* (* (- 27 (pow a 3)) (- (* a a) 1)) (* (+ a 3) (- a 1)))) (* (+ (* (* (- a 1) (- 9 (* a a))) (* (- 1 (* a a)) (* a a))) (* (- 9 (* a a)) (* (* (+ a 3) (* b b)) (- (* a a) 1)))) (* (* 4 (- a 1)) (+ (* a (+ a 3)) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* (* (- 27 (pow a 3)) (- (* a a) 1)) (* (+ a 3) (- a 1)))) (* (+ (* (* (- a 1) (- 9 (* a a))) (* (- 1 (* a a)) (* a a))) (* (- 9 (* a a)) (* (* (+ a 3) (* b b)) (- (* a a) 1)))) (* (* 4 (- a 1)) (+ (* a (+ a 3)) 9)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (- a 1)) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1709 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- a 1) (+ 3 a))) (* (* (+ 3 a) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ a 3) (- a 1)) (* (+ (* a a) -1) (- 9 (* a a)))) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (- a 1) (- 1 (* a a))) (* (* a a) (- 9 (* a a)))) (* (* (+ a 3) (- 9 (* a a))) (* (+ (* a a) -1) (* b b)))) (* (* 4 (+ a 3)) (- a 1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (+ a 3) (- a 1)) (* (+ (* a a) -1) (- 9 (* a a)))) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* (+ (* (* (- a 1) (- 1 (* a a))) (* (* a a) (- 9 (* a a)))) (* (* (+ a 3) (- 9 (* a a))) (* (+ (* a a) -1) (* b b)))) (* (* 4 (+ a 3)) (- a 1)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (- a 1)) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1710 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (+ 3 a) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (149 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ a 3) (+ a -1)) (* (- 27 (pow a 3)) (+ 1 a))) (+ (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a))))) (* (+ (* (* (* a a) (- 9 (* a a))) (* (+ a -1) (- 1 (* a a)))) (* (* (- (* a a) 1) (* b b)) (* (- 9 (* a a)) (+ a 3)))) (+ 36 (* 4 (* a (+ a 3)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (+ a 3) (+ a -1)) (* (- 27 (pow a 3)) (+ 1 a))) (+ (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a))))) (* (+ (* (* (* a a) (- 9 (* a a))) (* (+ a -1) (- 1 (* a a)))) (* (* (- (* a a) 1) (* b b)) (* (- 9 (* a a)) (+ a 3)))) (+ 36 (* 4 (* a (+ a 3)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (- a 1)) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1711 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (+ 3 a)) (* (* (+ 3 a) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* a a) (- 9 (* a a))) (* (- a 1) (- 1 (* a a)))) (* (* (+ (* a a) -1) (* b b)) (* (- 9 (* a a)) (+ a 3)))) 4) (* (+ a 3) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ a 3) (- a 1)) (* (+ 1 a) (- 9 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* a a) (- 9 (* a a))) (* (- a 1) (- 1 (* a a)))) (* (* (+ (* a a) -1) (* b b)) (* (- 9 (* a a)) (+ a 3)))) 4) (* (+ a 3) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (* (+ a 3) (- a 1)) (* (+ 1 a) (- 9 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (- a 1)) (+ 3 a))))) 1)) * * * * [misc]progress: [ 1712 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ 3 a) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ a 3) (- a 1)) (* (+ 1 (pow a 3)) (- 3 a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a))) (* (* (+ (- 1 a) (* a a)) 4) (+ (* (* (- a 1) (- 1 (* a a))) (* (* a a) (- 9 (* a a)))) (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 9 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (+ a 3) (- a 1)) (* (+ 1 (pow a 3)) (- 3 a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b 2) (* b a)) a))) (* (* (+ (- 1 a) (* a a)) 4) (+ (* (* (- a 1) (- 1 (* a a))) (* (* a a) (- 9 (* a a)))) (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 9 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (- a 1)) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 1713 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (- a 1)) (* (* (+ 3 a) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (- a 1) (- 9 (* a a))) (* (- 1 (* a a)) (* a a))) (* (* (+ a 3) (+ (* a a) -1)) (* (* b b) (- 9 (* a a))))) (* (- a 1) 4)) (* (* (* (+ a 3) (- a 1)) (* (- 3 a) (+ (* a a) -1))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (* (- a 1) (- 9 (* a a))) (* (- 1 (* a a)) (* a a))) (* (* (+ a 3) (+ (* a a) -1)) (* (* b b) (- 9 (* a a))))) (* (- a 1) 4)) (* (* (* (+ a 3) (- a 1)) (* (- 3 a) (+ (* a a) -1))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (- a 1)) (- a 1))))) 1)) * * * * [misc]progress: [ 1714 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (+ 3 a) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (157 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (+ 1 a) (- 3 a)) (* (+ a 3) (- a 1)))) (* (* (+ (* (* (- a 1) (- 9 (* a a))) (* (- 1 (* a a)) (* a a))) (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 9 (* a a)))) 4) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (+ 1 a) (- 3 a)) (* (+ a 3) (- a 1)))) (* (* (+ (* (* (- a 1) (- 9 (* a a))) (* (- 1 (* a a)) (* a a))) (* (* (* (+ a 3) (* b b)) (+ (* a a) -1)) (- 9 (* a a)))) 4) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (- a 1)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 1715 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (* (* (* (- (* 3 3) (* a a)) (* a a)) (- 1 (* a a))) (- a 1)) (* (+ 3 a) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (+ 3 a) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (143 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ a 3) (- a 1)) (* (+ 1 a) (- 3 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) 4) (+ (* (* (- a 1) (- 1 (* a a))) (* (* a a) (- 9 (* a a)))) (* (- 9 (* a a)) (* (* (+ a 3) (* b b)) (+ (* a a) -1)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (+ a 3) (- a 1)) (* (+ 1 a) (- 3 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) 4) (+ (* (* (- a 1) (- 1 (* a a))) (* (* a a) (- 9 (* a a)))) (* (- 9 (* a a)) (* (* (+ a 3) (* b b)) (+ (* a a) -1)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (* (+ 3 a) (- a 1)) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 1716 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (pow (* (* (- 3 a) (* a a)) (- 1 (* a a))) 3) (pow (* (* (+ a 1) (* b b)) (- 9 (* a a))) 3)) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))) (* (* (* (- 27 (pow a 3)) (+ (pow a 3) 1)) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))) (* (* (* (- 27 (pow a 3)) (+ (pow a 3) 1)) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1717 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (pow (* (* (- 3 a) (* a a)) (- 1 (* a a))) 3) (pow (* (* (+ a 1) (* b b)) (- 9 (* a a))) 3)) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (+ (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (- (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))) (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))))) (* (* (* 4 (+ (pow (* (* (+ a 1) (* b b)) (- 9 (* a a))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))))) (* (* (+ a 3) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (+ (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (- (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))) (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))))) (* (* (* 4 (+ (pow (* (* (+ a 1) (* b b)) (- 9 (* a a))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))))) (* (* (+ a 3) (+ (- 1 a) (* a a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1718 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (pow (* (* (- 3 a) (* a a)) (- 1 (* a a))) 3) (pow (* (* (+ a 1) (* b b)) (- 9 (* a a))) 3)) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 9 (* a a)) (* (+ a 1) (* b b))) (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))) (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))) (* (* (* (- (* a a) 1) (- 27 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3))) (* (* 4 (* (+ a -1) (+ 9 (* (+ a 3) a)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* 2 (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 9 (* a a)) (* (+ a 1) (* b b))) (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))) (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))) (* (* (* (- (* a a) 1) (- 27 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3))) (* (* 4 (* (+ a -1) (+ 9 (* (+ a 3) a)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* 2 (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1719 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (pow (* (* (- 3 a) (* a a)) (- 1 (* a a))) 3) (pow (* (* (+ a 1) (* b b)) (- 9 (* a a))) 3)) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3)) (* (+ (pow (* (* b b) (* 2 (* a a))) 3) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- (* a a) 1) (- 9 (* a a))))) (+ (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (- (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3)) (* 4 (+ (pow (* (* (+ a 1) (* b b)) (- 9 (* a a))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3)))) (* (* (+ -1 a) (+ a 3)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3)) (* (+ (pow (* (* b b) (* 2 (* a a))) 3) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- (* a a) 1) (- 9 (* a a))))) (+ (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (- (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3)) (* 4 (+ (pow (* (* (+ a 1) (* b b)) (- 9 (* a a))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3)))) (* (* (+ -1 a) (+ a 3)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1720 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (pow (* (* (- 3 a) (* a a)) (- 1 (* a a))) 3) (pow (* (* (+ a 1) (* b b)) (- 9 (* a a))) 3)) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3))) (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- 27 (pow a 3)) (+ a 1))) (+ (* (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3))) (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- 27 (pow a 3)) (+ a 1))) (+ (* (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1721 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (pow (* (* (- 3 a) (* a a)) (- 1 (* a a))) 3) (pow (* (* (+ a 1) (* b b)) (- 9 (* a a))) 3)) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (* (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 9 (* a a)) (+ a 1))) (+ (* (* (- 9 (* a a)) (* (+ a 1) (* b b))) (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))) (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* 4 (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3)))) (* (+ a 3) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* (* (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 9 (* a a)) (+ a 1))) (+ (* (* (- 9 (* a a)) (* (+ a 1) (* b b))) (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))) (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (* 4 (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3)))) (* (+ a 3) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b 2) (* b a)) a) (- (* (* (* b 2) (* b a)) a) (+ (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1722 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (pow (* (* (- 3 a) (* a a)) (- 1 (* a a))) 3) (pow (* (* (+ a 1) (* b b)) (- 9 (* a a))) 3)) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (187 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (+ 1 (pow a 3)) (- 3 a))) (+ (* (* (- 9 (* a a)) (* (+ a 1) (* b b))) (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))) (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* 4 (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3)))) (* (+ (- 1 a) (* a a)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* (+ 1 (pow a 3)) (- 3 a))) (+ (* (* (- 9 (* a a)) (* (+ a 1) (* b b))) (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))) (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2))))) (* 4 (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3)))) (* (+ (- 1 a) (* a a)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1723 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (pow (* (* (- 3 a) (* a a)) (- 1 (* a a))) 3) (pow (* (* (+ a 1) (* b b)) (- 9 (* a a))) 3)) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 3 a) (- (* a a) 1))) (+ (* (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))))) (* (* (+ -1 a) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)))) (* (* 4 (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 3 a) (- (* a a) 1))) (+ (* (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))))) (* (* (+ -1 a) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)))) (* (* 4 (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1724 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (pow (* (* (- 3 a) (* a a)) (- 1 (* a a))) 3) (pow (* (* (+ a 1) (* b b)) (- 9 (* a a))) 3)) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (201 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3)) (* (* (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) 4)) (* (* (* (- 27 (pow a 3)) (+ (pow a 3) 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a)))))) (+ (* (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3)) (* (* (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) 4)) (* (* (* (- 27 (pow a 3)) (+ (pow a 3) 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a)))))) (+ (* (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1725 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (pow (* (* (- 3 a) (* a a)) (- 1 (* a a))) 3) (pow (* (* (+ a 1) (* b b)) (- 9 (* a a))) 3)) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (* (- 9 (* a a)) (* (+ a 1) (* b b))) (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a))))) (* (+ (pow a 3) 1) (- 9 (* a a))))) (* (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3)) (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (* (- 9 (* a a)) (* (+ a 1) (* b b))) (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a))))) (* (+ (pow a 3) 1) (- 9 (* a a))))) (* (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3)) (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1726 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (pow (* (* (- 3 a) (* a a)) (- 1 (* a a))) 3) (pow (* (* (+ a 1) (* b b)) (- 9 (* a a))) 3)) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- 9 (* a a)) (* (+ a 1) (* b b))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (+ (* a a) -1) (- 27 (pow a 3))))) (* (* 4 (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3))) (* (* (+ -1 a) (+ 9 (* (+ a 3) a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- 9 (* a a)) (* (+ a 1) (* b b))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (+ (* a a) -1) (- 27 (pow a 3))))) (* (* 4 (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3))) (* (* (+ -1 a) (+ 9 (* (+ a 3) a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1727 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (pow (* (* (- 3 a) (* a a)) (- 1 (* a a))) 3) (pow (* (* (+ a 1) (* b b)) (- 9 (* a a))) 3)) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (182 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* 4 (* (- a 1) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3))) (* (* (* (- 9 (* a a)) (- (* a a) 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))) (+ (* (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* 4 (* (- a 1) (+ a 3))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3))) (* (* (* (- 9 (* a a)) (- (* a a) 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b)))) (+ (* (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1728 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (pow (* (* (- 3 a) (* a a)) (- 1 (* a a))) 3) (pow (* (* (+ a 1) (* b b)) (- 9 (* a a))) 3)) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (* (- 9 (* a a)) (* (+ a 1) (* b b))) (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))) (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))) (* (* (- 27 (pow a 3)) (+ a 1)) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (- (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (- (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (+ (* (* (- 9 (* a a)) (* (+ a 1) (* b b))) (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))) (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))) (* (* (- 27 (pow a 3)) (+ a 1)) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (- (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (- (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1729 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (pow (* (* (- 3 a) (* a a)) (- 1 (* a a))) 3) (pow (* (* (+ a 1) (* b b)) (- 9 (* a a))) 3)) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))) (* (* (- 9 (* a a)) (+ a 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))))) (* (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3)) (* (* 4 (+ a 3)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))) (* (* (- 9 (* a a)) (+ a 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))))) (* (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3)) (* (* 4 (+ a 3)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1730 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (pow (* (* (- 3 a) (* a a)) (- 1 (* a a))) 3) (pow (* (* (+ a 1) (* b b)) (- 9 (* a a))) 3)) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (* (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))) (* (* (- 3 a) (+ (pow a 3) 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))))) (* (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3)) (* (* 4 (+ (- 1 a) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (+ (* (+ (* (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))) (* (* (- 3 a) (+ (pow a 3) 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b 2) (* b (* a a))) (* (* b 2) (* b (* a a))))))) (* (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3)) (* (* 4 (+ (- 1 a) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1731 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (pow (* (* (- 3 a) (* a a)) (- 1 (* a a))) 3) (pow (* (* (+ a 1) (* b b)) (- 9 (* a a))) 3)) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (166 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))) (* (* (- (* a a) 1) (- 3 a)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))))) (* (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3)) (* (* 4 (- a 1)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))) (* (* (- (* a a) 1) (- 3 a)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))))) (* (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3)) (* (* 4 (- a 1)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1732 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (pow (* (* (- 3 a) (* a a)) (- 1 (* a a))) 3) (pow (* (* (+ a 1) (* b b)) (- 9 (* a a))) 3)) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))) (* (+ 1 (pow a 3)) (- 27 (pow a 3))))) (+ (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))))) (* (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3)) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* (+ a 3) a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))) (* (+ 1 (pow a 3)) (- 27 (pow a 3))))) (+ (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))))) (* (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3)) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* (+ a 3) a) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1733 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (pow (* (* (- 3 a) (* a a)) (- 1 (* a a))) 3) (pow (* (* (+ a 1) (* b b)) (- 9 (* a a))) 3)) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3)) (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))) (+ (* (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3)) (* (* 4 (+ a 3)) (+ (- 1 a) (* a a))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))) (+ (* (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1734 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (pow (* (* (- 3 a) (* a a)) (- 1 (* a a))) 3) (pow (* (* (+ a 1) (* b b)) (- 9 (* a a))) 3)) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * [exit]simplify: Simplified to (+ (* (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3)) (* (* (* 4 (+ -1 a)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))))) (+ (* (* (- 9 (* a a)) (* (+ a 1) (* b b))) (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))) (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3)) (* (* (* 4 (+ -1 a)) (+ (* a (+ a 3)) 9)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))))) (+ (* (* (- 9 (* a a)) (* (+ a 1) (* b b))) (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))) (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1735 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (pow (* (* (- 3 a) (* a a)) (- 1 (* a a))) 3) (pow (* (* (+ a 1) (* b b)) (- 9 (* a a))) 3)) 4) (* (- a 1) (+ 3 a))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (160 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3)) (* (* (+ a 3) (+ a -1)) 4))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (- (* a a) 1) (- 9 (* a a))))) (+ (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- 9 (* a a)) (* (+ a 1) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3)) (* (* (+ a 3) (+ a -1)) 4))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (* (- (* a a) 1) (- 9 (* a a))))) (+ (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- 9 (* a a)) (* (+ a 1) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1736 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (pow (* (* (- 3 a) (* a a)) (- 1 (* a a))) 3) (pow (* (* (+ a 1) (* b b)) (- 9 (* a a))) 3)) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (164 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ 9 (* a (+ a 3)))) (* 4 (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3)))) (* (+ (* (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))) (* (* (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (- 27 (pow a 3)) (+ a 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ 9 (* a (+ a 3)))) (* 4 (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3)))) (* (+ (* (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))) (* (* (+ (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (- 27 (pow a 3)) (+ a 1))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1737 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (pow (* (* (- 3 a) (* a a)) (- 1 (* a a))) 3) (pow (* (* (+ a 1) (* b b)) (- 9 (* a a))) 3)) 4) (+ 3 a)) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (149 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- 9 (* a a)) (+ a 1)) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))) (+ (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (* (- 9 (* a a)) (* (+ a 1) (* b b))) (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))))) (* (* 4 (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3))) (* (+ a 3) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- 9 (* a a)) (+ a 1)) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))) (+ (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (* (- 9 (* a a)) (* (+ a 1) (* b b))) (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))))) (* (* 4 (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3))) (* (+ a 3) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 1738 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (pow (* (* (- 3 a) (* a a)) (- 1 (* a a))) 3) (pow (* (* (+ a 1) (* b b)) (- 9 (* a a))) 3)) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (158 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 9 (* a a)) (* (+ a 1) (* b b))) (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))) (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))) (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (+ 1 (pow a 3)) (- 3 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* 4 (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3))) (* (+ (- 1 a) (* a a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 9 (* a a)) (* (+ a 1) (* b b))) (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))) (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))) (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (+ 1 (pow a 3)) (- 3 a))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* 4 (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3))) (* (+ (- 1 a) (* a a)) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 1739 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (pow (* (* (- 3 a) (* a a)) (- 1 (* a a))) 3) (pow (* (* (+ a 1) (* b b)) (- 9 (* a a))) 3)) 4) (- a 1)) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)) (+ -1 a)) (* 4 (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)) (* (* (- (* a a) 1) (- 3 a)) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))))) (+ (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- 9 (* a a)) (* (+ a 1) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)) (+ -1 a)) (* 4 (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3)) (* (* (- (* a a) 1) (- 3 a)) (+ (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))))) (+ (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- 9 (* a a)) (* (+ a 1) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (- a 1))))) 1)) * * * * [misc]progress: [ 1740 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (pow (* (* (- 3 a) (* a a)) (- 1 (* a a))) 3) (pow (* (* (+ a 1) (* b b)) (- 9 (* a a))) 3)) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))) (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 3 a) (+ a 1)))) (* (* 4 (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* 2 (* (* a a) (* b b))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))) (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 3 a) (+ a 1)))) (* (* 4 (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* 2 (* (* a a) (* b b))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 1741 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (+ (pow (* (* (- 3 a) (* a a)) (- 1 (* a a))) 3) (pow (* (* (+ a 1) (* b b)) (- 9 (* a a))) 3)) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (154 enodes) * [exit]simplify: Simplified to (* (+ (* (* (- (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a)))) 4) (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a))))) (* (- 3 a) (+ a 1))) (+ (* (* (- 9 (* a a)) (* (+ a 1) (* b b))) (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))) (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (- (+ (pow b 4) (pow a 4)) (* a (* (* b 2) (* b a)))) 4) (+ (pow (* (- 9 (* a a)) (* (+ a 1) (* b b))) 3) (pow (* (* (* a a) (- 3 a)) (- 1 (* a a))) 3))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (* a (* (* b 2) (* b a))))) (* (- 3 a) (+ a 1))) (+ (* (* (- 9 (* a a)) (* (+ a 1) (* b b))) (- (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))) (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* a (* (* b 2) (* b a))) 3))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (- (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 1742 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (- (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (188 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (* (+ (pow a 3) 1) (- 27 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (+ (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (* (+ (pow a 3) 1) (- 27 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (+ (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1743 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (- (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))))) (* (+ a 3) (+ (- 1 a) (* a a)))) (* (* 4 (* (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (+ (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))))) (* (+ a 3) (+ (- 1 a) (* a a)))) (* (* 4 (* (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (+ (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1744 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (- (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (* (- 27 (pow a 3)) (- (* a a) 1))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a))))) (* (- a 1) (+ 9 (* (+ a 3) a)))) (* (* 4 (- (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (* (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (* (- 27 (pow a 3)) (- (* a a) 1))) (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a))))) (* (- a 1) (+ 9 (* (+ a 3) a)))) (* (* 4 (- (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1745 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (- (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (- (* a a) 1) (- 9 (* a a))) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (- (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))))) (* (* 4 (* (- a 1) (+ a 3))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (- (* a a) 1) (- 9 (* a a))) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (- (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))))) (* (* 4 (* (- a 1) (+ a 3))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b 2)) b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1746 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (- (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (- 27 (pow a 3)) (+ a 1)) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) 4))) (* (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 a)) a))) (+ 9 (* a (+ a 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (- 27 (pow a 3)) (+ a 1)) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b))))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) 4))) (* (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 a)) a))) (+ 9 (* a (+ a 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1747 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (- (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (157 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 9 (* a a)) (+ a 1)) (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (+ a 3) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))))) (* (* (+ (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 9 (* a a)) (+ a 1)) (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (+ a 3) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* b 2) (* b a)))))) (* (* (+ (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) 4)) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1748 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (- (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (166 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (- 1 a) (* a a)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))))) (* (* 4 (* (+ (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (- 3 a) (+ 1 (pow a 3))) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (- 1 a) (* a a)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b 2) (* b a))) (- (* a (* (* b 2) (* b a))) (+ (pow b 4) (pow a 4)))))) (* (* 4 (* (+ (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (- 3 a) (+ 1 (pow a 3))) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1749 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (- (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (152 enodes) * [exit]simplify: Simplified to (+ (* (* (+ a -1) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (* b 2) (* b (* a a)))))) (* (* (* 4 (+ (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b))))) (* (* (- 3 a) (- (* a a) 1)) (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))) (pow (+ (pow b 4) (pow a 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ a -1) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* b 2) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (* b 2) (* b (* a a)))))) (* (* (* 4 (+ (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b)))) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b))))) (* (* (- 3 a) (- (* a a) 1)) (+ (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))) (pow (+ (pow b 4) (pow a 4)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1750 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (- (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ 9 (* (+ a 3) a)) (+ (- 1 a) (* a a))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* 4 (* (+ (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (+ 9 (* (+ a 3) a)) (+ (- 1 a) (* a a))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* 4 (* (+ (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b))))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1751 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (- (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))))) (* (* (+ (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b))))) (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))))) (* (* (+ (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b))))) (* (* 4 (* (+ a 3) (+ (- 1 a) (* a a)))) (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1752 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (- (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * [exit]simplify: Simplified to (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b))))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))))) (* (* 4 (* (+ (* a (+ a 3)) 9) (+ -1 a))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b))))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b 2)) b) (* (* (* a a) (* b 2)) b))))) (* (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (+ (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))))) (* (* 4 (* (+ (* a (+ a 3)) 9) (+ -1 a))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b 2)) b))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1753 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (- (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (160 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* 4 (* (+ a -1) (+ a 3))) (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a))))) (* (+ (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))) (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a))))) (* (* (- (* a a) 1) (- 9 (* a a))) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* 4 (* (+ a -1) (+ a 3))) (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a))))) (* (+ (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))) (- (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a))))) (* (* (- (* a a) 1) (- 9 (* a a))) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1754 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (- (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (164 enodes) * [exit]simplify: Simplified to (* (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (* (- 27 (pow a 3)) (+ a 1)) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (- 9 (* a a)) (* (+ a 1) (* b b))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (* (- 27 (pow a 3)) (+ a 1)) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))))) (* (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (- 9 (* a a)) (* (+ a 1) (* b b))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* (* b 2) b))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1755 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (- (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (149 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* 4 (+ a 3)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (* (- 9 (* a a)) (+ a 1)) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* 4 (+ a 3)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (* (- 9 (* a a)) (+ a 1)) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1756 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (- (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (158 enodes) * [exit]simplify: Simplified to (* (+ (* (* (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (* (+ 1 (pow a 3)) (- 3 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))) (* (* (* 4 (+ (- 1 a) (* a a))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (+ (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (* (+ 1 (pow a 3)) (- 3 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))) (* (* (* 4 (+ (- 1 a) (* a a))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (+ (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* b a)) (* (* b 2) (* b a))) (* (* (* a a) (* a a)) (* b (* b 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1757 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (- (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* 4 (+ -1 a)) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))))) (* (* (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (* (- (* a a) 1) (- 3 a))) (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* 4 (+ -1 a)) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))))) (* (* (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (* (- (* a a) 1) (- 3 a))) (* (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1758 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (- (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)) (* (+ (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* a (+ a 3)) 9)) (* (+ (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1759 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (- (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * [exit]simplify: Simplified to (* (+ (* (- (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (- 9 (* a a)) (* (+ a 1) (* b b))))) (* (* 4 (+ a 3)) (+ (- 1 a) (* a a)))) (* (* (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (- (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (- 9 (* a a)) (* (+ a 1) (* b b))))) (* (* 4 (+ a 3)) (+ (- 1 a) (* a a)))) (* (* (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1760 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (- (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (154 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* 4 (+ a -1)) (+ (* (+ a 3) a) 9)) (* (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (+ (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))))) (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (- 27 (pow a 3)) (+ (* a a) -1))) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* 4 (+ a -1)) (+ (* (+ a 3) a) 9)) (* (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (+ (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))))) (* (* (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (- 27 (pow a 3)) (+ (* a a) -1))) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1761 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (- (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a))))) 4) (* (- a 1) (+ 3 a))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b))))) (* (* (+ a 3) (+ -1 a)) 4)) (* (* (- (* a a) 1) (- 9 (* a a))) (* (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (+ (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b))))) (* (* (+ a 3) (+ -1 a)) 4)) (* (* (- (* a a) 1) (- 9 (* a a))) (* (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1762 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (- (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (143 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* 4 (* a (+ a 3))) 36) (- (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))) (* (- 27 (pow a 3)) (+ a 1))) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* 4 (* a (+ a 3))) 36) (- (* (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a)))) (* (- 27 (pow a 3)) (+ a 1))) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* b 2) (* b (* a a))) 3))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1763 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (- (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a))))) 4) (+ 3 a)) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ a 1) (+ (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a))))) (* (- 9 (* a a)) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))))) (* (+ (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (+ 12 (* a 4))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (+ a 1) (+ (+ (pow b 4) (pow a 4)) (* (* b 2) (* b (* a a))))) (* (- 9 (* a a)) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))))) (* (+ (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (+ 12 (* a 4))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 1764 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (- (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (137 enodes) * [exit]simplify: Simplified to (* (+ (* (* 4 (+ (- 1 a) (* a a))) (* (+ (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (* (+ 1 (pow a 3)) (- 3 a)) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* 4 (+ (- 1 a) (* a a))) (* (+ (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (* (* (+ 1 (pow a 3)) (- 3 a)) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 1765 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (- (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a))))) 4) (- a 1)) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * [exit]simplify: Simplified to (* (+ (* (* (- 3 a) (- (* a a) 1)) (* (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (* (+ (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (+ (* a 4) -4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (- 3 a) (- (* a a) 1)) (* (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))) (* (+ (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (* (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (+ (* a 4) -4)))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (- a 1))))) 1)) * * * * [misc]progress: [ 1766 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (- (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (147 enodes) * [exit]simplify: Simplified to (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (* (- 3 a) (+ a 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* 4 (* (+ (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (+ (* (* (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (* (- 3 a) (+ a 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))) (* (* 4 (* (+ (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a)))) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 1767 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (* (* (- (* (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (- 3 a) (* a a)) (- 1 (* a a)))) (* (* (* (+ a 1) (* b b)) (- 9 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * [exit]simplify: Simplified to (* (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (* (- 3 a) (+ a 1)) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))))) (* (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) 4) (* (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (+ (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (* (- 3 a) (+ a 1)) (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))))) (* (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) 4) (* (- (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (+ a 1) (* b b)))) (+ (* (- 9 (* a a)) (* (+ a 1) (* b b))) (* (* (* a a) (- 3 a)) (- 1 (* a a))))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (* (- (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 1768 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (+ (pow (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) 3) (pow (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))) 3))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (431 enodes) * [exit]simplify: Simplified to (+ (* (* (* 4 (+ (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ a 1))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* a b)) (* (* b 2) (* a b))) (* (* (* a a) (* b 2)) (* (* a a) b))))) (* (* 4 (+ (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ a 1))))) (* 4 (+ (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ a 1))))))) (* (* (* (* (- 3 a) (+ a 1)) (+ (* (* 2 a) (* (* b b) a)) (+ (pow b 4) (pow a 4)))) (* (* (- 3 a) (+ a 1)) (+ (* (* 2 a) (* (* b b) a)) (+ (pow b 4) (pow a 4))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* a b)) (* (* b 2) (* a b))) (* (* (* a a) (* b 2)) (* (* a a) b)))) (* (* (- 3 a) (+ a 1)) (+ (* (* 2 a) (* (* b b) a)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* 4 (+ (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ a 1))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* a b)) (* (* b 2) (* a b))) (* (* (* a a) (* b 2)) (* (* a a) b))))) (* (* 4 (+ (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ a 1))))) (* 4 (+ (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ a 1))))))) (* (* (* (* (- 3 a) (+ a 1)) (+ (* (* 2 a) (* (* b b) a)) (+ (pow b 4) (pow a 4)))) (* (* (- 3 a) (+ a 1)) (+ (* (* 2 a) (* (* b b) a)) (+ (pow b 4) (pow a 4))))) (* (- (pow (- (pow b 4) (pow a 4)) 3) (* (* (* (* b 2) (* a b)) (* (* b 2) (* a b))) (* (* (* a a) (* b 2)) (* (* a a) b)))) (* (* (- 3 a) (+ a 1)) (+ (* (* 2 a) (* (* b b) a)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (+ (* (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4)) (- (* (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a)))) (* (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))))))) 1)) * * * * [misc]progress: [ 1769 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (- (pow b 4) (pow a 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (- (* (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4)) (* (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (408 enodes) * [exit]simplify: Simplified to (* (- (* 4 (+ (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ a 1))))) (* (* (- 3 a) (+ a 1)) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (- 3 a) (+ a 1)) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* 4 (+ (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ a 1)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (* 4 (+ (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ a 1))))) (* (* (- 3 a) (+ a 1)) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (- 3 a) (+ a 1)) (+ (* (* (* a a) (* b 2)) b) (+ (pow b 4) (pow a 4)))) (* 4 (+ (* (* (* a a) (- 3 a)) (- 1 (* a a))) (* (- 9 (* a a)) (* (* b b) (+ a 1)))))) (- (pow (- (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (+ (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))) (- (* (+ (* (* (- 3 a) (* a a)) (- 1 (* a a))) (* (* (+ a 1) (* b b)) (- 9 (* a a)))) 4) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- 3 a))))))) 1)) * * * * [misc]progress: [ 1770 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (243 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ 3 a)) 9)) (+ (* (* a a) (+ (* a a) 9)) 81)) (+ (- 1 a) (* a a)))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ 3 a)) 9))) (* (* (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81)) (* (- 27 (pow a 3)) (* a a)))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ (* a (+ 3 a)) 9))) (+ (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ 3 a)) 9)) (+ (* (* a a) (+ (* a a) 9)) 81)) (+ (- 1 a) (* a a)))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ 3 a)) 9))) (* (* (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81)) (* (- 27 (pow a 3)) (* a a)))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ (* a (+ 3 a)) 9))) (+ (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1771 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (249 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (- 1 a) (* a a)) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9))) (* (* (+ (- 1 a) (* a a)) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))))) (* (* 4 (* (+ 3 a) (+ (- 1 a) (* a a)))) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (- 1 a) (* a a)) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9))) (* (* (+ (- 1 a) (* a a)) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))))) (* (* 4 (* (+ 3 a) (+ (- 1 a) (* a a)))) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1772 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (- (* a a) 1) (- 27 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* 2 (* b b)))))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (+ 3 a) a) 9)) (+ 81 (* (* a a) (+ 9 (* a a))))) (+ (- 1 a) (* a a)))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (+ 3 a) a) 9))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (- 1 (pow (* a a) 3)) (* (* (- 27 (pow a 3)) (* a a)) (+ (- 1 a) (* a a)))))) (* (* 4 (* (+ (* (+ 3 a) a) 9) (+ a -1))) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (- (* a a) 1) (- 27 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* 2 (* b b)))))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (+ 3 a) a) 9)) (+ 81 (* (* a a) (+ 9 (* a a))))) (+ (- 1 a) (* a a)))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (+ 3 a) a) 9))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (- 1 (pow (* a a) 3)) (* (* (- 27 (pow a 3)) (* a a)) (+ (- 1 a) (* a a)))))) (* (* 4 (* (+ (* (+ 3 a) a) 9) (+ a -1))) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1773 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ 3 a)) 9))) (* (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81)) (+ (- 1 a) (* a a)))) (* (* 4 (* (+ 3 a) (- a 1))) (+ (* (* (* (* b b) (* a a)) 2) (- (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ 3 a)) 9)) (+ (* (* a a) (+ (* a a) 9)) 81)) (+ (- 1 a) (* a a))) (* (* (- 9 (* a a)) (- (* a a) 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a a)) 2) 3))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ 3 a)) 9))) (* (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81)) (+ (- 1 a) (* a a)))) (* (* 4 (* (+ 3 a) (- a 1))) (+ (* (* (* (* b b) (* a a)) 2) (- (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ 3 a)) 9)) (+ (* (* a a) (+ (* a a) 9)) 81)) (+ (- 1 a) (* a a))) (* (* (- 9 (* a a)) (- (* a a) 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a a)) 2) 3))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1774 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (241 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ 3 a)) 9))) (* (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81)) (+ (- 1 a) (* a a)))) (* (* 4 (+ (* a (+ 3 a)) 9)) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (- 1 a) (* a a)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ 3 a)) 9))) (+ (* (* a a) (+ (* a a) 9)) 81)) (* (* (+ a 1) (- 27 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* 2 b) (* b a)) (* (* 2 b) (* b a))) (* (* (* a a) (* a a)) (* (* 2 b) b))))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ 3 a)) 9))) (* (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81)) (+ (- 1 a) (* a a)))) (* (* 4 (+ (* a (+ 3 a)) 9)) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (- 1 a) (* a a)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ 3 a)) 9))) (+ (* (* a a) (+ (* a a) 9)) 81)) (* (* (+ a 1) (- 27 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* 2 b) (* b a)) (* (* 2 b) (* b a))) (* (* (* a a) (* a a)) (* (* 2 b) b))))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1775 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (247 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (+ (- 1 a) (* a a)) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a)))))) (* (* 4 (+ 3 a)) (+ (* (- (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* 2 b)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (- 1 a) (* a a)) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9)))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* 2 (* b b))))) (* (- 9 (* a a)) (+ a 1))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (+ (- 1 a) (* a a)) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a)))))) (* (* 4 (+ 3 a)) (+ (* (- (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* 2 b)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (- 1 a) (* a a)) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9)))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* 2 (* b b))))) (* (- 9 (* a a)) (+ a 1))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1776 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (241 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9))) (* (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* (* a a) (+ 9 (* a a))) 81)) (+ (- 1 a) (* a a)))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (* (* (* a a) (* 2 b)) b) (- (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (* a (+ 3 a)) 9) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (- 1 a) (* a a)))) (+ (* (* a a) (+ 9 (* a a))) 81)) (* (* (+ 1 (pow a 3)) (- 3 a)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* 2 b) (* b a)) (* (* 2 b) (* b a))) (* (* (* a a) (* a a)) (* (* 2 b) b))))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9))) (* (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* (* a a) (+ 9 (* a a))) 81)) (+ (- 1 a) (* a a)))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (* (* (* a a) (* 2 b)) b) (- (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (* a (+ 3 a)) 9) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (- 1 a) (* a a)))) (+ (* (* a a) (+ 9 (* a a))) 81)) (* (* (+ 1 (pow a 3)) (- 3 a)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* 2 b) (* b a)) (* (* 2 b) (* b a))) (* (* (* a a) (* a a)) (* (* 2 b) b))))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1777 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (242 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9))) (* (* (- 1 (pow (* a a) 3)) (* (* (- 27 (pow a 3)) (* a a)) (+ (- 1 a) (* a a)))) (+ (* (* a a) (+ (* a a) 9)) 81))) (* (* 4 (+ -1 a)) (+ (* (- (* a (* (* 2 b) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* 2 b) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (* a (+ 3 a)) 9) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* a (* (* 2 b) (* b a))) 3)) (* (- 3 a) (- (* a a) 1))))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))) (- (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9))) (* (* (- 1 (pow (* a a) 3)) (* (* (- 27 (pow a 3)) (* a a)) (+ (- 1 a) (* a a)))) (+ (* (* a a) (+ (* a a) 9)) 81))) (* (* 4 (+ -1 a)) (+ (* (- (* a (* (* 2 b) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* 2 b) (* b a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (* a (+ 3 a)) 9) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* a (* (* 2 b) (* b a))) 3)) (* (- 3 a) (- (* a a) 1))))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))) (- (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1778 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))) (* (+ (- 1 a) (* a a)) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (+ 3 a) a) 9))))) (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (+ 3 a) a) 9))) (* (* (+ (- 1 a) (* a a)) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))))) (* (* 4 (* (* (+ (- 1 a) (* a a)) (+ (* (+ 3 a) a) 9)) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))) (* (+ (- 1 a) (* a a)) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (+ 3 a) a) 9))))) (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (+ 3 a) a) 9))) (* (* (+ (- 1 a) (* a a)) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))))) (* (* 4 (* (* (+ (- 1 a) (* a a)) (+ (* (+ 3 a) a) 9)) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1779 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (235 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ 3 a)) 9))) (* (+ (- 1 a) (* a a)) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a)))))) (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ 3 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (* (+ (- 1 a) (* a a)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ 3 a)) 9))) (+ (* (* a a) (+ (* a a) 9)) 81)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ 3 a)) 9))) (* (+ (- 1 a) (* a a)) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a)))))) (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ 3 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (* (+ (- 1 a) (* a a)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ 3 a)) 9))) (+ (* (* a a) (+ (* a a) 9)) 81)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1780 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ 3 a)) 9))) (* (* (+ (- 1 a) (* a a)) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))))) (* (* (* (* (+ -1 a) (+ (* a (+ 3 a)) 9)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) 4) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a a) (* b (* 2 b))) (* (* a a) (* b (* 2 b))))))) (* (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ 3 a)) 9)) (+ (* (* a a) (+ (* a a) 9)) 81)) (+ (- 1 a) (* a a))) (* (* (* (- (* a a) 1) (- 27 (pow a 3))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b (* 2 b))) (* (* a a) (* b (* 2 b)))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a a) (* b (* 2 b))) (* (* a a) (* b (* 2 b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ 3 a)) 9))) (* (* (+ (- 1 a) (* a a)) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))))) (* (* (* (* (+ -1 a) (+ (* a (+ 3 a)) 9)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) 4) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a a) (* b (* 2 b))) (* (* a a) (* b (* 2 b))))))) (* (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ 3 a)) 9)) (+ (* (* a a) (+ (* a a) 9)) 81)) (+ (- 1 a) (* a a))) (* (* (* (- (* a a) 1) (- 27 (pow a 3))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b (* 2 b))) (* (* a a) (* b (* 2 b)))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a a) (* b (* 2 b))) (* (* a a) (* b (* 2 b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1781 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (242 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (- 9 (* a a)) (+ (* a a) -1)))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (+ (- 1 a) (* a a)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ 3 a)) 9))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ 3 a)) 9))) (* (* (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81)) (* (- 27 (pow a 3)) (* a a)))) (* (* (* 4 (* (+ -1 a) (+ 3 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (- 9 (* a a)) (+ (* a a) -1)))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (+ (- 1 a) (* a a)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ 3 a)) 9))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ 3 a)) 9))) (* (* (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81)) (* (- 27 (pow a 3)) (* a a)))) (* (* (* 4 (* (+ -1 a) (+ 3 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1782 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (+ 3 a) a) 9))) (* (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81)) (+ (- 1 a) (* a a)))) (* (* (* 4 (+ (* (+ 3 a) a) 9)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))))) (* (* (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (+ 3 a) a) 9)) (+ (* (* a a) (+ (* a a) 9)) 81)) (+ (- 1 a) (* a a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))) (* (* (+ a 1) (- 27 (pow a 3))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (+ 3 a) a) 9))) (* (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81)) (+ (- 1 a) (* a a)))) (* (* (* 4 (+ (* (+ 3 a) a) 9)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))))) (* (* (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (+ 3 a) a) 9)) (+ (* (* a a) (+ (* a a) 9)) 81)) (+ (- 1 a) (* a a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))) (* (* (+ a 1) (- 27 (pow a 3))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1783 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (233 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9))) (* (* (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ 9 (* a a))) 81)) (* (- 27 (pow a 3)) (* a a)))) (* (* (* 4 (+ 3 a)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))) (* (+ a 1) (- 9 (* a a)))) (* (+ (- 1 a) (* a a)) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9))) (* (* (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ 9 (* a a))) 81)) (* (- 27 (pow a 3)) (* a a)))) (* (* (* 4 (+ 3 a)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))))) (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))) (* (+ a 1) (- 9 (* a a)))) (* (+ (- 1 a) (* a a)) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1784 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (+ 3 a) a) 9))) (* (* (- 1 (pow (* a a) 3)) (* (* (- 27 (pow a 3)) (* a a)) (+ (- 1 a) (* a a)))) (+ (* (* a a) (+ (* a a) 9)) 81))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2))))) (* (* (* (+ (* (+ 3 a) a) 9) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (- 1 a) (* a a)))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2))))) (* (* (- 3 a) (+ 1 (pow a 3))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* (+ 3 a) a) 9))) (* (* (- 1 (pow (* a a) 3)) (* (* (- 27 (pow a 3)) (* a a)) (+ (- 1 a) (* a a)))) (+ (* (* a a) (+ (* a a) 9)) 81))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2))))) (* (* (* (+ (* (+ 3 a) a) 9) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (- 1 a) (* a a)))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2))))) (* (* (- 3 a) (+ 1 (pow a 3))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1785 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (228 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9))) (* (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* (* a a) (+ 9 (* a a))) 81)) (+ (- 1 a) (* a a)))) (* (* (* 4 (+ -1 a)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a a) (* (* 2 b) b)) (* (* a a) (* (* 2 b) b)))))) (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9)) (* (* (+ (- 1 a) (* a a)) (+ 81 (* (* a a) (+ 9 (* a a))))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* (* 2 b) b)) (* (* a a) (* (* 2 b) b)))))) (* (* (- (* a a) 1) (- 3 a)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a a) (* (* 2 b) b)) (* (* a a) (* (* 2 b) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9))) (* (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* (* a a) (+ 9 (* a a))) 81)) (+ (- 1 a) (* a a)))) (* (* (* 4 (+ -1 a)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a a) (* (* 2 b) b)) (* (* a a) (* (* 2 b) b)))))) (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9)) (* (* (+ (- 1 a) (* a a)) (+ 81 (* (* a a) (+ 9 (* a a))))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* (* 2 b) b)) (* (* a a) (* (* 2 b) b)))))) (* (* (- (* a a) 1) (- 3 a)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a a) (* (* 2 b) b)) (* (* a a) (* (* 2 b) b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1786 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (213 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9))) (* (+ (- 1 a) (* a a)) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a)))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* a (+ 3 a)) 9)) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9))) (* (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (- 1 a) (* a a)) (+ 81 (* (* a a) (+ (* a a) 9))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9))) (* (+ (- 1 a) (* a a)) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a)))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* a (+ 3 a)) 9)) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9))) (* (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (- 1 a) (* a a)) (+ 81 (* (* a a) (+ (* a a) 9))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1787 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (219 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ (* a (+ 3 a)) 9) (+ (- 1 a) (* a a)))) (* (+ (* (+ 9 (* a a)) (* a a)) 81) (+ (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4))))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9))) (* (* (+ (- 1 a) (* a a)) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a)))) (+ (* (+ 9 (* a a)) (* a a)) 81))) (* (* (* 4 (+ 3 a)) (+ (- 1 a) (* a a))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ (* a (+ 3 a)) 9) (+ (- 1 a) (* a a)))) (* (+ (* (+ 9 (* a a)) (* a a)) 81) (+ (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4))))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9))) (* (* (+ (- 1 a) (* a a)) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a)))) (+ (* (+ 9 (* a a)) (* a a)) 81))) (* (* (* 4 (+ 3 a)) (+ (- 1 a) (* a a))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1788 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (220 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- 1 a) (* a a)) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9)) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))) (* (* (- 27 (pow a 3)) (+ (* a a) -1)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9))) (* (* (- 27 (pow a 3)) (* a a)) (* (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81)))) (* (* (* 4 (+ -1 a)) (+ (* a (+ 3 a)) 9)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- 1 a) (* a a)) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9)) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))) (* (* (- 27 (pow a 3)) (+ (* a a) -1)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9))) (* (* (- 27 (pow a 3)) (* a a)) (* (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81)))) (* (* (* 4 (+ -1 a)) (+ (* a (+ 3 a)) 9)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1789 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ 3 a)) 9))) (* (+ (* (+ 9 (* a a)) (* a a)) 81) (* (+ (- 1 a) (* a a)) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a)))))) (* (* (* 4 (- a 1)) (+ 3 a)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a))))))) (* (* (* (+ (- 1 a) (* a a)) (+ 81 (* (+ 9 (* a a)) (* a a)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ 3 a)) 9)) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))))) (* (* (- 9 (* a a)) (- (* a a) 1)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ 3 a)) 9))) (* (+ (* (+ 9 (* a a)) (* a a)) 81) (* (+ (- 1 a) (* a a)) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a)))))) (* (* (* 4 (- a 1)) (+ 3 a)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a))))))) (* (* (* (+ (- 1 a) (* a a)) (+ 81 (* (+ 9 (* a a)) (* a a)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ 3 a)) 9)) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))))) (* (* (- 9 (* a a)) (- (* a a) 1)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1790 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (211 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ 3 a)) 9))) (* (+ (- 1 a) (* a a)) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a)))))) (* (+ 36 (* (* a (+ 3 a)) 4)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2))))) (* (* (* (+ (- 1 a) (* a a)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ 3 a)) 9))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (+ (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4))))) (* (* (- 27 (pow a 3)) (+ a 1)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ 3 a)) 9))) (* (+ (- 1 a) (* a a)) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a)))))) (* (+ 36 (* (* a (+ 3 a)) 4)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2))))) (* (* (* (+ (- 1 a) (* a a)) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ 3 a)) 9))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (+ (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4))))) (* (* (- 27 (pow a 3)) (+ a 1)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1791 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ 3 a)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (217 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (* (* (- 9 (* a a)) (+ a 1)) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (+ (- 1 a) (* a a)) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9))) (* (* (- 27 (pow a 3)) (* a a)) (* (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81)))) (* (+ 12 (* 4 a)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (* (* (- 9 (* a a)) (+ a 1)) (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (+ (- 1 a) (* a a)) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9))) (* (* (- 27 (pow a 3)) (* a a)) (* (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81)))) (* (+ 12 (* 4 a)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 1792 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ 3 a)) 9))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (- 1 (pow (* a a) 3)) (* (* (- 27 (pow a 3)) (* a a)) (+ (- 1 a) (* a a)))))) (* (* 4 (+ (- 1 a) (* a a))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (* (* (- 3 a) (+ 1 (pow a 3))) (+ (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4))))) (* (+ (* a (+ 3 a)) 9) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (* a (+ 3 a)) 9))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (* (- 1 (pow (* a a) 3)) (* (* (- 27 (pow a 3)) (* a a)) (+ (- 1 a) (* a a)))))) (* (* 4 (+ (- 1 a) (* a a))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (* (* (- 3 a) (+ 1 (pow a 3))) (+ (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4))))) (* (+ (* a (+ 3 a)) 9) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 1793 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- a 1)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (211 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- 1 a) (* a a)) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (+ (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4))))) (* (* (- 3 a) (- (* a a) 1)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9))) (* (* (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81)) (* (- 27 (pow a 3)) (* a a)))) (* (* (+ -1 a) 4) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- 1 a) (* a a)) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (+ (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4))))) (* (* (- 3 a) (- (* a a) 1)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9))) (* (* (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81)) (* (- 27 (pow a 3)) (* a a)))) (* (* (+ -1 a) 4) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (- a 1))))) 1)) * * * * [misc]progress: [ 1794 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (239 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (- 3 a) (+ a 1))) (* (+ (- 1 a) (* a a)) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9))) (* (* (- 1 (pow (* a a) 3)) (* (* (- 27 (pow a 3)) (* a a)) (+ (- 1 a) (* a a)))) (+ (* (* a a) (+ 9 (* a a))) 81))) (* (+ (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) 4))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (- 3 a) (+ a 1))) (* (+ (- 1 a) (* a a)) (* (+ (* (* a a) (+ 9 (* a a))) 81) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9))) (* (* (- 1 (pow (* a a) 3)) (* (* (- 27 (pow a 3)) (* a a)) (+ (- 1 a) (* a a)))) (+ (* (* a a) (+ 9 (* a a))) 81))) (* (+ (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) 4))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 1795 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (219 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9)) (* (* (+ (- 1 a) (* a a)) (+ 81 (* (* a a) (+ (* a a) 9)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))))) (* (* (- 3 a) (+ a 1)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9))) (* (* (- 27 (pow a 3)) (* a a)) (* (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81)))) (* (* (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) 4) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9)) (* (* (+ (- 1 a) (* a a)) (+ 81 (* (* a a) (+ (* a a) 9)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))))) (* (* (- 3 a) (+ a 1)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (* (- 729 (pow (* a a) 3)) (* (* b b) (+ 1 (pow a 3)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ (* a (+ 3 a)) 9))) (* (* (- 27 (pow a 3)) (* a a)) (* (* (- 1 (pow (* a a) 3)) (+ (- 1 a) (* a a))) (+ (* (* a a) (+ (* a a) 9)) 81)))) (* (* (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) 4) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 1796 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (232 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b)))) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) (- 1 a)) (+ 9 (* a a)))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* a a) (* (* 2 b) b)) (+ (pow b 4) (pow a 4))) (* (* a a) (* (* 2 b) b)))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b)))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3)))) (* (+ (* a a) (- 1 a)) (+ 9 (* a a))))) (* (+ (pow (* (* a a) (* (* 2 b) b)) 3) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b)))) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) (- 1 a)) (+ 9 (* a a)))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* a a) (* (* 2 b) b)) (+ (pow b 4) (pow a 4))) (* (* a a) (* (* 2 b) b)))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b)))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3)))) (* (+ (* a a) (- 1 a)) (+ 9 (* a a))))) (* (+ (pow (* (* a a) (* (* 2 b) b)) 3) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1797 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* b (* 2 b)))) (+ (- (pow b 4) (pow a 4)) (* (* a a) (* b (* 2 b))))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* a a) (* b (* 2 b))) 3)) (* (+ 1 (pow a 3)) (- 9 (* a a))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* b (* 2 b)))) (+ (- (pow b 4) (pow a 4)) (* (* a a) (* b (* 2 b))))) (+ (* (* (- 27 (pow a 3)) (* a a)) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 3 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b (* 2 b))) (- (* (* a a) (* b (* 2 b))) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* b (* 2 b)))) (+ (- (pow b 4) (pow a 4)) (* (* a a) (* b (* 2 b))))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* a a) (* b (* 2 b))) 3)) (* (+ 1 (pow a 3)) (- 9 (* a a))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* b (* 2 b)))) (+ (- (pow b 4) (pow a 4)) (* (* a a) (* b (* 2 b))))) (+ (* (* (- 27 (pow a 3)) (* a a)) (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 3 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b (* 2 b))) (- (* (* a a) (* b (* 2 b))) (+ (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1798 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (239 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))) (+ (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b)))) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))))) (* (* 4 (* (- a 1) (+ 9 (* a (+ 3 a))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* (* 2 b) b)) (- (* (* a a) (* (* 2 b) b)) (+ (pow b 4) (pow a 4))))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))) (+ (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))) (+ (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b)))) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))))) (* (* 4 (* (- a 1) (+ 9 (* a (+ 3 a))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* (* 2 b) b)) (- (* (* a a) (* (* 2 b) b)) (+ (pow b 4) (pow a 4))))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))) (+ (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1799 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a a) (* b (* 2 b))) (* (* a a) (* b (* 2 b))))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a))))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- 9 (* a a)) (+ (* a a) -1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* a a) (* b (* 2 b))) 3)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a a) (* b (* 2 b))) (* (* a a) (* b (* 2 b))))) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (- 27 (pow a 3)) (* a a))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a))))))) (* (* 4 (* (+ a -1) (+ 3 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b (* 2 b))) (- (* (* a a) (* b (* 2 b))) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a a) (* b (* 2 b))) (* (* a a) (* b (* 2 b))))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a))))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- 9 (* a a)) (+ (* a a) -1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* a a) (* b (* 2 b))) 3)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a a) (* b (* 2 b))) (* (* a a) (* b (* 2 b))))) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (- 27 (pow a 3)) (* a a))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a))))))) (* (* 4 (* (+ a -1) (+ 3 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b (* 2 b))) (- (* (* a a) (* b (* 2 b))) (+ (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1800 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (230 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* a a) (* b (* 2 b)))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* b (* 2 b))))) (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 27 (pow a 3)) (* a a)) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))))) (* (* 4 (+ 9 (* a (+ 3 a)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* a a) (* b (* 2 b))) (+ (pow b 4) (pow a 4))) (* (* a a) (* b (* 2 b))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* a a) (* b (* 2 b)))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* b (* 2 b))))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- 27 (pow a 3)) (+ a 1))) (+ (pow (* (* a a) (* b (* 2 b))) 3) (pow (+ (pow b 4) (pow a 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* a a) (* b (* 2 b)))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* b (* 2 b))))) (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 27 (pow a 3)) (* a a)) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))))) (* (* 4 (+ 9 (* a (+ 3 a)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* a a) (* b (* 2 b))) (+ (pow b 4) (pow a 4))) (* (* a a) (* b (* 2 b))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* a a) (* b (* 2 b)))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* b (* 2 b))))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- 27 (pow a 3)) (+ a 1))) (+ (pow (* (* a a) (* b (* 2 b))) 3) (pow (+ (pow b 4) (pow a 4)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1801 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (* (* (* a a) (* 2 b)) b) 3) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))) (* (* (+ a 1) (- 9 (* a a))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (+ (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- 27 (pow a 3)) (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))))) (* (* 4 (+ 3 a)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (- (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (* (* (* a a) (* 2 b)) b) 3) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))) (* (* (+ a 1) (- 9 (* a a))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (+ (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- 27 (pow a 3)) (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))))) (* (* 4 (+ 3 a)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (- (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1802 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (230 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2))) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a))))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* a a)) 2))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a))))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (+ 1 (pow a 3)) (- 3 a))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))) (pow (+ (pow b 4) (pow a 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2))) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a))))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* a a)) 2))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a))))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (+ 1 (pow a 3)) (- 3 a))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))) (pow (+ (pow b 4) (pow a 4)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1803 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))) (+ (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b)))) (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 27 (pow a 3)) (* a a)) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a))))))) (* (* 4 (+ -1 a)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* (* 2 b) b)) (- (* (* a a) (* (* 2 b) b)) (+ (pow b 4) (pow a 4))))))) (* (* (+ (pow (* (* a a) (* (* 2 b) b)) 3) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a)))) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))) (* (* (+ (* a a) -1) (- 3 a)) (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))) (+ (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))) (+ (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b)))) (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 27 (pow a 3)) (* a a)) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a))))))) (* (* 4 (+ -1 a)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* (* 2 b) b)) (- (* (* a a) (* (* 2 b) b)) (+ (pow b 4) (pow a 4))))))) (* (* (+ (pow (* (* a a) (* (* 2 b) b)) 3) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a)))) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))) (* (* (+ (* a a) -1) (- 3 a)) (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))) (+ (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1804 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (218 enodes) * [exit]simplify: Simplified to (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a a) (* b (* 2 b))) (* (* a a) (* b (* 2 b))))) (+ (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* (+ 3 a) a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b (* 2 b))) (* (* a a) (* b (* 2 b))))))) (* (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* (+ 3 a) a)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* (+ 3 a) a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a a) (* b (* 2 b))) (* (* a a) (* b (* 2 b))))) (+ (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* (+ 3 a) a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b (* 2 b))) (* (* a a) (* b (* 2 b))))))) (* (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* (+ 3 a) a)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* (+ 3 a) a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1805 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a a) (* 2 (* b b))) (* (* a a) (* 2 (* b b))))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* 2 (* b b))) (* (* a a) (* 2 (* b b))))) (* (- 9 (* a a)) (+ 1 (pow a 3))))) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))))) (* (* (* 4 (* (+ (* a a) (- 1 a)) (+ 3 a))) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a a) (* 2 (* b b))) (* (* a a) (* 2 (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a a) (* 2 (* b b))) (* (* a a) (* 2 (* b b))))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* 2 (* b b))) (* (* a a) (* 2 (* b b))))) (* (- 9 (* a a)) (+ 1 (pow a 3))))) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))))) (* (* (* 4 (* (+ (* a a) (- 1 a)) (+ 3 a))) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a a) (* 2 (* b b))) (* (* a a) (* 2 (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1806 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (225 enodes) * [exit]simplify: Simplified to (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (+ (* (* (* (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (* (+ -1 a) (+ 9 (* a (+ a 3))))) 4) (+ (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (- 27 (pow a 3))) (* (* a a) (- 1 (* (pow a 3) (pow a 3))))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))))) (* (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- 27 (pow a 3)) (+ (* a a) -1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (+ (* (* (* (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (* (+ -1 a) (+ 9 (* a (+ a 3))))) 4) (+ (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (- 27 (pow a 3))) (* (* a a) (- 1 (* (pow a 3) (pow a 3))))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))))) (* (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- 27 (pow a 3)) (+ (* a a) -1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1807 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))))) (* (* (* 4 (* (+ -1 a) (+ 3 a))) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))))) (* (* (* 4 (* (+ -1 a) (+ 3 a))) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1808 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (216 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 27 (pow a 3)) (+ a 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (* a (* (* 2 b) (* b a)))))) (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* (+ 3 a) a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (* a (* (* 2 b) (* b a))))))) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* (+ 3 a) a))))) (* (* (* 4 (+ 9 (* (+ 3 a) a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (* a (* (* 2 b) (* b a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 27 (pow a 3)) (+ a 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (* a (* (* 2 b) (* b a)))))) (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* (+ 3 a) a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (* a (* (* 2 b) (* b a))))))) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* (+ 3 a) a))))) (* (* (* 4 (+ 9 (* (+ 3 a) a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (* a (* (* 2 b) (* b a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1809 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 9 (* a a)) (+ a 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* (* 2 b) b)) (* (* a a) (* (* 2 b) b))))) (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (+ 9 (* a (+ 3 a)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a a) (* (* 2 b) b)) (* (* a a) (* (* 2 b) b)))))) (* (+ (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (- 27 (pow a 3))) (* (* a a) (- 1 (* (pow a 3) (pow a 3))))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a)))))) (* (* (* 4 (+ 3 a)) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a a) (* (* 2 b) b)) (* (* a a) (* (* 2 b) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 9 (* a a)) (+ a 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* (* 2 b) b)) (* (* a a) (* (* 2 b) b))))) (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (+ 9 (* a (+ 3 a)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a a) (* (* 2 b) b)) (* (* a a) (* (* 2 b) b)))))) (* (+ (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (- 27 (pow a 3))) (* (* a a) (- 1 (* (pow a 3) (pow a 3))))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a)))))) (* (* (* 4 (+ 3 a)) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a a) (* (* 2 b) b)) (* (* a a) (* (* 2 b) b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1810 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (217 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a a) (* (* 2 b) b)) (* (* a a) (* (* 2 b) b)))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* (+ 3 a) a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))) (* (* (+ 1 (pow a 3)) (- 3 a)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* (* 2 b) b)) (* (* a a) (* (* 2 b) b)))))) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* (+ 3 a) a))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a a) (* (* 2 b) b)) (* (* a a) (* (* 2 b) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a a) (* (* 2 b) b)) (* (* a a) (* (* 2 b) b)))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* (+ 3 a) a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))) (* (* (+ 1 (pow a 3)) (- 3 a)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* (* 2 b) b)) (* (* a a) (* (* 2 b) b)))))) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* (+ 3 a) a))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a a) (* (* 2 b) b)) (* (* a a) (* (* 2 b) b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1811 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (216 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 3 a) (+ (* a a) -1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b (* 2 b))) (* (* a a) (* b (* 2 b)))))) (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a a) (* b (* 2 b))) (* (* a a) (* b (* 2 b))))))) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))))) (* (* (* 4 (+ -1 a)) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a a) (* b (* 2 b))) (* (* a a) (* b (* 2 b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 3 a) (+ (* a a) -1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b (* 2 b))) (* (* a a) (* b (* 2 b)))))) (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a a) (* b (* 2 b))) (* (* a a) (* b (* 2 b))))))) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))))) (* (* (* 4 (+ -1 a)) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a a) (* b (* 2 b))) (* (* a a) (* b (* 2 b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1812 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ 9 (* a (+ a 3)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (* (+ 9 (* a (+ a 3))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ 9 (* a (+ a 3)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))) (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (* (+ 9 (* a (+ a 3))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1813 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (208 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 27 (pow a 3)) (* a a)) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))))) (* (* (* 4 (+ 3 a)) (+ (* a a) (- 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow b 4) (pow a 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 27 (pow a 3)) (* a a)) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))))) (* (* (* 4 (+ 3 a)) (+ (* a a) (- 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1814 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- 27 (pow a 3)) (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))))) (* (* (* 4 (+ -1 a)) (+ 9 (* a (+ 3 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))))) (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (+ (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4))) (* (+ (* a a) -1) (- 27 (pow a 3)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- 27 (pow a 3)) (* a a))) (- 1 (* (pow a 3) (pow a 3)))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))))) (* (* (* 4 (+ -1 a)) (+ 9 (* a (+ 3 a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))))) (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (+ (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4))) (* (+ (* a a) -1) (- 27 (pow a 3)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1815 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a)))))) (* (* (* (+ a -1) (+ 3 a)) 4) (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* b (* 2 b)))) (+ (- (pow b 4) (pow a 4)) (* (* a a) (* b (* 2 b))))))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a)))) (* (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- 9 (* a a)) (+ (* a a) -1))) (+ (* (* a a) (* b (* 2 b))) (+ (pow b 4) (pow a 4)))) (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* b (* 2 b)))) (+ (- (pow b 4) (pow a 4)) (* (* a a) (* b (* 2 b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a)))))) (* (* (* (+ a -1) (+ 3 a)) 4) (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* b (* 2 b)))) (+ (- (pow b 4) (pow a 4)) (* (* a a) (* b (* 2 b))))))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a)))) (* (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- 9 (* a a)) (+ (* a a) -1))) (+ (* (* a a) (* b (* 2 b))) (+ (pow b 4) (pow a 4)))) (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* b (* 2 b)))) (+ (- (pow b 4) (pow a 4)) (* (* a a) (* b (* 2 b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1816 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* (+ 3 a) a))))) (* (+ (* (* (+ 3 a) a) 4) 36) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* (+ 3 a) a))) (* (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (+ a 1) (- 27 (pow a 3)))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* (+ 3 a) a))))) (* (+ (* (* (+ 3 a) a) 4) 36) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* (+ 3 a) a))) (* (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (+ a 1) (- 27 (pow a 3)))) (+ (* (* 2 (* b b)) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (- (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1817 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ 3 a)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))))) (* (+ (* a 4) 12) (* (+ (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b)))))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (* (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (+ a 1) (- 9 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))))) (* (+ (* a 4) 12) (* (+ (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b)))))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (* (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (+ a 1) (- 9 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b)))) (* (+ (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 1818 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 27 (pow a 3)) (* a a)) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3)))))) (* (* 4 (+ (* a a) (- 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2))))) (* (* (* (- 3 a) (+ 1 (pow a 3))) (+ (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4)))) (* (* (+ 9 (* a (+ a 3))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 27 (pow a 3)) (* a a)) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3)))))) (* (* 4 (+ (* a a) (- 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2))))) (* (* (* (- 3 a) (+ 1 (pow a 3))) (+ (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4)))) (* (* (+ 9 (* a (+ a 3))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ (* a a) 9) (+ (* a a) (- 1 a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 1819 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- a 1)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (201 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a)))))) (* (* 4 (- a 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a)))) (* (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- (* a a) 1) (- 3 a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a)))))) (* (* 4 (- a 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a)))) (* (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- (* a a) 1) (- 3 a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (- a 1))))) 1)) * * * * [misc]progress: [ 1820 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (228 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* a a) (* b (* 2 b)))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* b (* 2 b))))) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (- 27 (pow a 3)) (* a a))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* (+ 3 a) a)))))) (* (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* a a) (* b (* 2 b))) (+ (pow b 4) (pow a 4))) (* (* a a) (* b (* 2 b))))) 4)) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* a a) (* b (* 2 b)))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* b (* 2 b))))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* (+ 3 a) a)))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- 3 a) (+ a 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* a a) (* b (* 2 b)))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* b (* 2 b))))) (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (- 27 (pow a 3)) (* a a))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* (+ 3 a) a)))))) (* (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* a a) (* b (* 2 b))) (+ (pow b 4) (pow a 4))) (* (* a a) (* b (* 2 b))))) 4)) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* a a) (* b (* 2 b)))) (- (- (pow b 4) (pow a 4)) (* (* a a) (* b (* 2 b))))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* (+ 3 a) a)))) (* (* (* (+ (* a a) 9) (+ (* a a) (- 1 a))) (* (- 3 a) (+ a 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 1821 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* (* 2 b) b)) (* (* a a) (* (* 2 b) b)))) (* (+ a 1) (- 3 a))) (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (+ 9 (* a (+ a 3)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a a) (* (* 2 b) b)) (* (* a a) (* (* 2 b) b)))))) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (- 27 (pow a 3)) (* a a))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))))) (* (* (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) 4) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a a) (* (* 2 b) b)) (* (* a a) (* (* 2 b) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* (* 2 b) b)) (* (* a a) (* (* 2 b) b)))) (* (+ a 1) (- 3 a))) (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (+ 9 (* a (+ a 3)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a a) (* (* 2 b) b)) (* (* a a) (* (* 2 b) b)))))) (* (+ (* (* (- 1 (* (pow a 3) (pow a 3))) (* (+ (* a a) 9) (+ (* a a) (- 1 a)))) (* (- 27 (pow a 3)) (* a a))) (* (* (- 81 (* (* a a) (* a a))) (* (+ 1 (pow a 3)) (* b b))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))))) (* (* (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) 4) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a a) (* (* 2 b) b)) (* (* a a) (* (* 2 b) b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 1822 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (248 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (+ (* (* (+ (* (+ 3 a) a) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (+ (* a a) -1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* 81 (+ -1 a)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ (* (+ 3 a) a) 9))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (- (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4))))))) (* (* (* (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* 81 (+ -1 a))) (* (+ (* (+ 3 a) a) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* 2 b)) b) 3))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (+ (* (* (+ (* (+ 3 a) a) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (+ (* a a) -1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* 81 (+ -1 a)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ (* (+ 3 a) a) 9))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (- (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4))))))) (* (* (* (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* 81 (+ -1 a))) (* (+ (* (+ 3 a) a) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* 2 b)) b) 3))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1823 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (73 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (+ (* (* (+ -1 a) (* a a)) (+ 9 (* a a))) (* 81 (+ -1 a))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (+ (* (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- 729 (pow (* a a) 3)) (* (+ (* a a) -1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* (* (+ -1 a) (* a a)) (+ 9 (* a a))) (* 81 (+ -1 a)))))) (* (* 4 (* (+ 3 a) (+ (* a a) (- 1 a)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (+ (* (* (+ -1 a) (* a a)) (+ 9 (* a a))) (* 81 (+ -1 a))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (+ (* (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- 729 (pow (* a a) 3)) (* (+ (* a a) -1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* (* (+ -1 a) (* a a)) (+ 9 (* a a))) (* 81 (+ -1 a)))))) (* (* 4 (* (+ 3 a) (+ (* a a) (- 1 a)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1824 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (* (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (+ (* a a) -1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ 9 (* a a))))))) (* (* 4 (* (- a 1) (+ (* a (+ 3 a)) 9))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* a a) (* b b))) 3)) (* (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ 9 (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (* (+ (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (* (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (+ (* a a) -1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ 9 (* a a))))))) (* (* 4 (* (- a 1) (+ (* a (+ 3 a)) 9))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* a a) (* b b))) 3)) (* (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ 9 (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (* (+ (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1825 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))) (- (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a))))) (+ (* (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (+ (* a a) -1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* 81 (+ a -1)) (* (* (+ a -1) (* a a)) (+ (* a a) 9)))))) (* (* 4 (* (+ 3 a) (+ a -1))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (- (* a (* (* 2 b) (* b a))) (+ (pow b 4) (pow a 4))))))) (* (* (* (- 9 (* a a)) (+ (* a a) -1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* 2 b) (* b a)) (* (* 2 b) (* b a))) (* (* (* a a) (* a a)) (* (* 2 b) b))))) (* (* (+ (* 81 (+ a -1)) (* (* (+ a -1) (* a a)) (+ (* a a) 9))) (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))) (- (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))) (- (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a))))) (+ (* (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (+ (* a a) -1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* 81 (+ a -1)) (* (* (+ a -1) (* a a)) (+ (* a a) 9)))))) (* (* 4 (* (+ 3 a) (+ a -1))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (- (* a (* (* 2 b) (* b a))) (+ (pow b 4) (pow a 4))))))) (* (* (* (- 9 (* a a)) (+ (* a a) -1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* 2 b) (* b a)) (* (* 2 b) (* b a))) (* (* (* a a) (* a a)) (* (* 2 b) b))))) (* (* (+ (* 81 (+ a -1)) (* (* (+ a -1) (* a a)) (+ (* a a) 9))) (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))) (- (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1826 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (* (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (- (* a a) 1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* (- a 1) 81))))) (* (* 4 (+ (* a (+ 3 a)) 9)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))))) (* (* (+ (pow (* 2 (* (* a a) (* b b))) 3) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* (- a 1) 81)) (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (+ a 1) (- 27 (pow a 3))) (* (+ (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (* (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (- (* a a) 1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* (- a 1) 81))))) (* (* 4 (+ (* a (+ 3 a)) 9)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))))) (* (* (+ (pow (* 2 (* (* a a) (* b b))) 3) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* (- a 1) 81)) (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (+ a 1) (- 27 (pow a 3))) (* (+ (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1827 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (242 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 729 (pow (* a a) 3)) (* (+ (* a a) -1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* (+ -1 a) 81))))) (* (* 4 (+ 3 a)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* 2 b) (* b a)) (* (* 2 b) (* b a))) (* (* (* a a) (* a a)) (* (* 2 b) b)))) (* (- 9 (* a a)) (+ a 1))) (* (* (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* (+ -1 a) 81)) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 729 (pow (* a a) 3)) (* (+ (* a a) -1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* (+ -1 a) 81))))) (* (* 4 (+ 3 a)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* 2 b) (* b a)) (* (* 2 b) (* b a))) (* (* (* a a) (* a a)) (* (* 2 b) b)))) (* (- 9 (* a a)) (+ a 1))) (* (* (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* (+ -1 a) 81)) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1828 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (* (* (+ (* (+ 3 a) a) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- 729 (pow (* a a) 3)) (* (+ (* a a) -1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ (* a a) 9)))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (* (+ 3 a) a) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ (* a a) 9))) (* (- 3 a) (+ 1 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* 2 b) (* b a)) (* (* 2 b) (* b a))) (* (* (* a a) (* a a)) (* b (* 2 b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (+ (* (* (+ (* (+ 3 a) a) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- 729 (pow (* a a) 3)) (* (+ (* a a) -1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ (* a a) 9)))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (* (+ 3 a) a) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ (* a a) 9))) (* (- 3 a) (+ 1 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* 2 b) (* b a)) (* (* 2 b) (* b a))) (* (* (* a a) (* a a)) (* b (* 2 b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1829 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* b (* 2 b)) (* a a))) (- (- (pow b 4) (pow a 4)) (* (* b (* 2 b)) (* a a)))) (+ (* (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 729 (pow (* a a) 3)) (* (- (* a a) 1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* (+ a -1) 81) (* (* (+ a -1) (* a a)) (+ 9 (* a a))))))) (* (* 4 (+ a -1)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b (* 2 b)) (* a a)) (- (* (* b (* 2 b)) (* a a)) (+ (pow b 4) (pow a 4))))))) (* (* (+ (pow (* (* b (* 2 b)) (* a a)) 3) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ (* (+ a -1) 81) (* (* (+ a -1) (* a a)) (+ 9 (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))) (* (* (- (* a a) 1) (- 3 a)) (* (+ (- (pow b 4) (pow a 4)) (* (* b (* 2 b)) (* a a))) (- (- (pow b 4) (pow a 4)) (* (* b (* 2 b)) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* b (* 2 b)) (* a a))) (- (- (pow b 4) (pow a 4)) (* (* b (* 2 b)) (* a a)))) (+ (* (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 729 (pow (* a a) 3)) (* (- (* a a) 1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* (+ a -1) 81) (* (* (+ a -1) (* a a)) (+ 9 (* a a))))))) (* (* 4 (+ a -1)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b (* 2 b)) (* a a)) (- (* (* b (* 2 b)) (* a a)) (+ (pow b 4) (pow a 4))))))) (* (* (+ (pow (* (* b (* 2 b)) (* a a)) 3) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ (* (+ a -1) 81) (* (* (+ a -1) (* a a)) (+ 9 (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))) (* (* (- (* a a) 1) (- 3 a)) (* (+ (- (pow b 4) (pow a 4)) (* (* b (* 2 b)) (* a a))) (- (- (pow b 4) (pow a 4)) (* (* b (* 2 b)) (* a a))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1830 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (234 enodes) * [exit]simplify: Simplified to (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (+ (* (* (* (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* (- a 1) 81)) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))) (* (+ (* a (+ a 3)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (* 4 (* (+ (* a (+ a 3)) 9) (+ (- 1 a) (* a a)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (* (+ (* a (+ a 3)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (+ (* a a) -1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* (- a 1) 81))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (+ (* (* (* (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* (- a 1) 81)) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))) (* (+ (* a (+ a 3)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (* 4 (* (+ (* a (+ a 3)) 9) (+ (- 1 a) (* a a)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (* (+ (* a (+ a 3)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (+ (* a a) -1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* (- a 1) 81))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1831 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- 729 (pow (* a a) 3)) (* (- (* a a) 1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ (* a a) 9))))) (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ 3 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (* (* (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ (* a a) 9))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- 729 (pow (* a a) 3)) (* (- (* a a) 1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ (* a a) 9))))) (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ 3 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (* (* (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ (* a a) 9))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1832 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ (* a a) 9))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 729 (pow (* a a) 3)) (* (+ (* a a) -1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ (* a a) 9))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (- a 1) (+ (* a (+ 3 a)) 9))) 4))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ (* a a) 9))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 729 (pow (* a a) 3)) (* (+ (* a a) -1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ (* a a) 9))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b)))) (* (- a 1) (+ (* a (+ 3 a)) 9))) 4))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1833 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (230 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))) (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (* 81 (+ -1 a)) (* (* (+ -1 a) (* a a)) (+ 9 (* a a)))) (* (- 9 (* a a)) (+ (* a a) -1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))))) (* (+ (* (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (+ (* a a) -1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* 81 (+ -1 a)) (* (* (+ -1 a) (* a a)) (+ 9 (* a a)))))) (* (* (* 4 (* (+ -1 a) (+ 3 a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))) (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (* 81 (+ -1 a)) (* (* (+ -1 a) (* a a)) (+ 9 (* a a)))) (* (- 9 (* a a)) (+ (* a a) -1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))))) (* (+ (* (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (+ (* a a) -1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* 81 (+ -1 a)) (* (* (+ -1 a) (* a a)) (+ 9 (* a a)))))) (* (* (* 4 (* (+ -1 a) (+ 3 a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1834 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (+ (* (+ -1 a) 81) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (- 27 (pow a 3)) (+ a 1)))) (* (+ (* (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 729 (pow (* a a) 3)) (* (+ (* a a) -1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* (+ -1 a) 81) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))))) (* (* (* 4 (+ (* a (+ 3 a)) 9)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (+ (* (+ -1 a) 81) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a)))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (- 27 (pow a 3)) (+ a 1)))) (* (+ (* (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 729 (pow (* a a) 3)) (* (+ (* a a) -1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* (+ -1 a) 81) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))))) (* (* (* 4 (+ (* a (+ 3 a)) 9)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1835 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (228 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* (- a 1) 81)) (* (- 9 (* a a)) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (+ (* a a) -1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* (- a 1) 81)))) (* (* (* 4 (+ 3 a)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* (- a 1) 81)) (* (- 9 (* a a)) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (+ (* a a) -1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (* (- a 1) (* a a)) (+ 9 (* a a))) (* (- a 1) 81)))) (* (* (* 4 (+ 3 a)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1836 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (232 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* (+ -1 a) (* a a)) (+ 9 (* a a))) (* 81 (+ -1 a))) (* (+ (* a (+ a 3)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (* (+ 1 (pow a 3)) (- 3 a)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (* (+ (* a (+ a 3)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (+ (* a a) -1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* (* (+ -1 a) (* a a)) (+ 9 (* a a))) (* 81 (+ -1 a))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* (+ -1 a) (* a a)) (+ 9 (* a a))) (* 81 (+ -1 a))) (* (+ (* a (+ a 3)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (* (+ 1 (pow a 3)) (- 3 a)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (* (+ (* a (+ a 3)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (+ (* a a) -1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* (* (+ -1 a) (* a a)) (+ 9 (* a a))) (* 81 (+ -1 a))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1837 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (217 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (+ -1 a) 81) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (* (- 3 a) (- (* a a) 1)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 729 (pow (* a a) 3)) (* (- (* a a) 1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (+ -1 a) 81) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))))) (* (* (* 4 (+ -1 a)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (+ -1 a) 81) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (* (- 3 a) (- (* a a) 1)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 729 (pow (* a a) 3)) (* (- (* a a) 1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (+ -1 a) 81) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))))) (* (* (* 4 (+ -1 a)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1838 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (218 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- 729 (pow (* a a) 3)) (* (+ (* a a) -1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (+ -1 a) 81) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* a (+ 3 a)) 9)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))) (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ (* a (+ 3 a)) 9) (+ -1 a))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))) (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- 729 (pow (* a a) 3)) (* (+ (* a a) -1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (+ -1 a) 81) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* a (+ 3 a)) 9)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))) (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ (* a (+ 3 a)) 9) (+ -1 a))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))) (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1839 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a (+ 3 a)) 9) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- a 1))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (+ (* a a) -1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ (* a a) 9))))) (* (* (* 4 (+ 3 a)) (+ (- 1 a) (* a a))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* a (+ 3 a)) 9) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- a 1))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (+ (* a a) -1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))) (+ (* 81 (- a 1)) (* (* (- a 1) (* a a)) (+ (* a a) 9))))) (* (* (* 4 (+ 3 a)) (+ (- 1 a) (* a a))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1840 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (208 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a (+ 3 a)) 9) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- a 1))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (+ (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4))))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))))) (* (+ (* (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (+ (* a a) -1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ (* a a) 9))))) (* (* (* 4 (- a 1)) (+ (* a (+ 3 a)) 9)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* a (+ 3 a)) 9) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (- a 1))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (+ (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4))))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))))) (* (+ (* (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (+ (* a a) -1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ (* a a) 9))))) (* (* (* 4 (- a 1)) (+ (* a (+ 3 a)) 9)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1841 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 729 (pow (* a a) 3)) (* (+ (* a a) -1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* (+ -1 a) 81)))) (* (* (* (+ -1 a) (+ 3 a)) 4) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))))) (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ (* a (+ 3 a)) 9) (+ -1 a))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 729 (pow (* a a) 3)) (* (+ (* a a) -1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* (+ -1 a) 81)))) (* (* (* (+ -1 a) (+ 3 a)) 4) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))))) (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ (* a (+ 3 a)) 9) (+ -1 a))) (* (+ (* (* a a) (+ (* a a) 9)) 81) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1842 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a (+ 3 a)) 9) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ a -1))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (* (* (+ a 1) (- 27 (pow a 3))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 729 (pow (* a a) 3)) (* (+ (* a a) -1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (+ a -1) 81) (* (* (+ a -1) (* a a)) (+ (* a a) 9))))) (* (+ 36 (* 4 (* a (+ 3 a)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* a (+ 3 a)) 9) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ a -1))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (* (* (+ a 1) (- 27 (pow a 3))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 729 (pow (* a a) 3)) (* (+ (* a a) -1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (+ a -1) 81) (* (* (+ a -1) (* a a)) (+ (* a a) 9))))) (* (+ 36 (* 4 (* a (+ 3 a)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1843 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ 3 a)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 729 (pow (* a a) 3)) (* (- (* a a) 1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* 81 (+ -1 a))))) (* (+ (* a 4) 12) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))))) (* (* (* (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ -1 a)) (* (+ 81 (* (* a a) (+ (* a a) 9))) (+ (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4))))) (* (* (+ a 1) (- 9 (* a a))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 729 (pow (* a a) 3)) (* (- (* a a) 1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* 81 (+ -1 a))))) (* (+ (* a 4) 12) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))))) (* (* (* (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ -1 a)) (* (+ 81 (* (* a a) (+ (* a a) 9))) (+ (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4))))) (* (* (+ a 1) (- 9 (* a a))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 1844 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (216 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (+ (* a a) -1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (+ a -1) 81) (* (* (+ a -1) (* a a)) (+ (* a a) 9))))) (* (* (+ (- 1 a) (* a a)) 4) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (* (* (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ a -1)) (* (+ (* (* a a) (+ (* a a) 9)) 81) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))))) (* (* (- 3 a) (+ 1 (pow a 3))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (+ (* a a) -1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (+ a -1) 81) (* (* (+ a -1) (* a a)) (+ (* a a) 9))))) (* (* (+ (- 1 a) (* a a)) 4) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (* (* (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ a -1)) (* (+ (* (* a a) (+ (* a a) 9)) 81) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))))) (* (* (- 3 a) (+ 1 (pow a 3))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 1845 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- a 1)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (201 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ (* a (+ 3 a)) 9) (- a 1))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (- 3 a) (- (* a a) 1)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 729 (pow (* a a) 3)) (* (- (* a a) 1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ 9 (* a a)))))) (* (* 4 (- a 1)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ (* a (+ 3 a)) 9) (- a 1))) (* (+ (* (* a a) (+ 9 (* a a))) 81) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (- 3 a) (- (* a a) 1)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 729 (pow (* a a) 3)) (* (- (* a a) 1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* (- a 1) 81) (* (* (- a 1) (* a a)) (+ 9 (* a a)))))) (* (* 4 (- a 1)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (- a 1))))) 1)) * * * * [misc]progress: [ 1846 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (235 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))))) (* 4 (+ (* (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (- (* a a) 1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* 81 (+ -1 a)) (* (* (+ -1 a) (* a a)) (+ 9 (* a a)))))))) (* (* (+ (* (* (* (* 2 b) (* b a)) (* (* 2 b) (* b a))) (* (* (* a a) (* a a)) (* (* 2 b) b))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ a 1) (- 3 a))) (* (* (+ (* 81 (+ -1 a)) (* (* (+ -1 a) (* a a)) (+ 9 (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))))) (* 4 (+ (* (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (- (* a a) 1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* 81 (+ -1 a)) (* (* (+ -1 a) (* a a)) (+ 9 (* a a)))))))) (* (* (+ (* (* (* (* 2 b) (* b a)) (* (* 2 b) (* b a))) (* (* (* a a) (* a a)) (* (* 2 b) b))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ a 1) (- 3 a))) (* (* (+ (* 81 (+ -1 a)) (* (* (+ -1 a) (* a a)) (+ 9 (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 1847 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (+ (* 81 (+ -1 a)) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))) (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (- 3 a) (+ a 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (- (* a a) 1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* 81 (+ -1 a)) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))))) (* (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) 4) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (+ (* 81 (+ -1 a)) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))) (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (* (* (- 3 a) (+ a 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (* (+ (* a (+ 3 a)) 9) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 729 (pow (* a a) 3)) (* (- (* a a) 1) (* b b)))) (* (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3)))) (+ (* 81 (+ -1 a)) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))))) (* (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) 4) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 1848 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (* (+ 9 (* a (+ a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (* (- a 1) (+ (* a a) 9)) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* 2 b)) b) 3)))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (+ (* (* (+ 9 (* a (+ a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (* a a) (- 27 (pow a 3))) (* (- a 1) (+ (* a a) 9)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3))))) (+ (* (* (* (* a a) (* 2 b)) b) (- (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (* (+ 9 (* a (+ a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (* (- a 1) (+ (* a a) 9)) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* 2 b)) b) 3)))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (+ (* (* (+ 9 (* a (+ a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (* a a) (- 27 (pow a 3))) (* (- a 1) (+ (* a a) 9)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ a 3))))) (+ (* (* (* (* a a) (* 2 b)) b) (- (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1849 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (70 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (* (* (* (+ a -1) (+ (* a a) 9)) (+ 9 (* a (+ 3 a)))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (- 9 (* a a)) (+ 1 (pow a 3))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (+ (* (* (+ 9 (* a (+ 3 a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (* (* (+ a -1) (+ (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (* a a) (- 27 (pow a 3)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 3 a))) (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (* (* (* (+ a -1) (+ (* a a) 9)) (+ 9 (* a (+ 3 a)))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (- 9 (* a a)) (+ 1 (pow a 3))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (+ (* (* (+ 9 (* a (+ 3 a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (* (* (+ a -1) (+ (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (* a a) (- 27 (pow a 3)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 3 a))) (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1850 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (228 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))) (- (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a))))) (+ (* (* (+ 9 (* a (+ a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (* (* a a) (- 27 (pow a 3))) (* (* (+ a -1) (+ 9 (* a a))) (- 1 (* (pow a 3) (pow a 3))))))) (* (* 4 (* (+ a -1) (+ 9 (* a (+ a 3))))) (+ (* (* a (* (* 2 b) (* b a))) (- (* a (* (* 2 b) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))) (- (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a))))) (* (+ 9 (* a (+ a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (* (+ a -1) (+ 9 (* a a))) (* (- 27 (pow a 3)) (+ (* a a) -1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))) (- (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a))))) (+ (* (* (+ 9 (* a (+ a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (* (* a a) (- 27 (pow a 3))) (* (* (+ a -1) (+ 9 (* a a))) (- 1 (* (pow a 3) (pow a 3))))))) (* (* 4 (* (+ a -1) (+ 9 (* a (+ a 3))))) (+ (* (* a (* (* 2 b) (* b a))) (- (* a (* (* 2 b) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))) (- (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a))))) (* (+ 9 (* a (+ a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (* (* (+ a -1) (+ 9 (* a a))) (* (- 27 (pow a 3)) (+ (* a a) -1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1851 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (234 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (+ 9 (* a (+ a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (* (+ -1 a) (+ (* a a) 9)) (* (- (* a a) 1) (- 9 (* a a)))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (* (* (+ 9 (* a (+ a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (* a a) (- 27 (pow a 3))) (* (+ -1 a) (+ (* a a) 9)))))) (* (* 4 (* (+ -1 a) (+ 3 a))) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (+ 9 (* a (+ a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (* (+ -1 a) (+ (* a a) 9)) (* (- (* a a) 1) (- 9 (* a a)))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (* (* (+ 9 (* a (+ a 3))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (* a a) (- 27 (pow a 3))) (* (+ -1 a) (+ (* a a) 9)))))) (* (* 4 (* (+ -1 a) (+ 3 a))) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1852 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (+ (* (* (+ 9 (* a (+ 3 a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (* a a) (- 27 (pow a 3))) (* (+ a -1) (+ (* a a) 9)))))) (* (* 4 (+ 9 (* a (+ 3 a)))) (+ (* (* (* (* a a) (* 2 b)) b) (- (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* 2 b)) b) 3)) (* (- 27 (pow a 3)) (+ a 1))) (* (* (+ 9 (* a (+ 3 a))) (* (* (+ a -1) (+ (* a a) 9)) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (+ (* (* (+ 9 (* a (+ 3 a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (* a a) (- 27 (pow a 3))) (* (+ a -1) (+ (* a a) 9)))))) (* (* 4 (+ 9 (* a (+ 3 a)))) (+ (* (* (* (* a a) (* 2 b)) b) (- (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* 2 b)) b) 3)) (* (- 27 (pow a 3)) (+ a 1))) (* (* (+ 9 (* a (+ 3 a))) (* (* (+ a -1) (+ (* a a) 9)) (+ (* (* a a) (* a a)) (+ 1 (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1853 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (232 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 9 (* a a)) (+ a 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3))) (* (* (+ 9 (* a (+ 3 a))) (* (* (+ -1 a) (+ (* a a) 9)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* (* (+ 9 (* a (+ 3 a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (* (* (+ -1 a) (+ (* a a) 9)) (- 27 (pow a 3))) (* (- 1 (* (pow a 3) (pow a 3))) (* a a))))) (* (* 4 (+ 3 a)) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 9 (* a a)) (+ a 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* b b)) 2) 3))) (* (* (+ 9 (* a (+ 3 a))) (* (* (+ -1 a) (+ (* a a) 9)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* (* (+ 9 (* a (+ 3 a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (* (* (+ -1 a) (+ (* a a) 9)) (- 27 (pow a 3))) (* (- 1 (* (pow a 3) (pow a 3))) (* a a))))) (* (* 4 (+ 3 a)) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1854 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (237 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ 9 (* a (+ 3 a))) (* (* (+ -1 a) (+ (* a a) 9)) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (+ 1 (pow a 3)) (- 3 a)) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* (* (+ 9 (* a (+ 3 a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (* a a) (- 27 (pow a 3))) (* (+ -1 a) (+ (* a a) 9)))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ 9 (* a (+ 3 a))) (* (* (+ -1 a) (+ (* a a) 9)) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (+ 1 (pow a 3)) (- 3 a)) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* (* (+ 9 (* a (+ 3 a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (* a a) (- 27 (pow a 3))) (* (+ -1 a) (+ (* a a) 9)))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1855 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* (* (+ 9 (* (+ 3 a) a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (* (* (+ a -1) (+ (* a a) 9)) (* (* a a) (- 27 (pow a 3)))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ a -1)) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ 9 (* (+ 3 a) a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (* (+ a -1) (+ (* a a) 9)) (* (- 3 a) (- (* a a) 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* (* (+ 9 (* (+ 3 a) a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (* (* (+ a -1) (+ (* a a) 9)) (* (* a a) (- 27 (pow a 3)))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (+ a -1)) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ 9 (* (+ 3 a) a)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (* (+ a -1) (+ (* a a) 9)) (* (- 3 a) (- (* a a) 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1856 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (+ 9 (* (+ 3 a) a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (* (* a a) (- 27 (pow a 3))) (* (* (+ a -1) (+ (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (* (+ 9 (* (+ 3 a) a)) (+ (* a a) (- 1 a)))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))) (* (+ 9 (* (+ 3 a) a)) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (* (+ a -1) (+ (* a a) 9)) (* (- 27 (pow a 3)) (+ 1 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (+ 9 (* (+ 3 a) a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (* (* a a) (- 27 (pow a 3))) (* (* (+ a -1) (+ (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (* (+ 9 (* (+ 3 a) a)) (+ (* a a) (- 1 a)))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))) (* (+ 9 (* (+ 3 a) a)) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (* (+ a -1) (+ (* a a) 9)) (* (- 27 (pow a 3)) (+ 1 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1857 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (230 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 9 (* a (+ a 3))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (* (* a a) (- 27 (pow a 3))) (* (* (+ a -1) (+ (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (* (+ (* a a) (- 1 a)) (+ 3 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))) (* (+ 9 (* a (+ a 3))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (* (+ a -1) (+ (* a a) 9)) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 9 (* a (+ a 3))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (* (* a a) (- 27 (pow a 3))) (* (* (+ a -1) (+ (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (* (+ (* a a) (- 1 a)) (+ 3 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))) (* (+ 9 (* a (+ a 3))) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (* (+ a -1) (+ (* a a) 9)) (* (- 9 (* a a)) (+ 1 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1858 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (* (+ (* (+ (* (* (+ 9 (* a (+ 3 a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (* (* (+ a -1) (+ 9 (* a a))) (- 27 (pow a 3))) (* (- 1 (* (pow a 3) (pow a 3))) (* a a)))) (* (* 4 (* (+ a -1) (+ 9 (* a (+ 3 a))))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))) (* (* (* (* (+ a -1) (+ 9 (* a a))) (* (- 27 (pow a 3)) (- (* a a) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))) (* (+ 9 (* a (+ 3 a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (+ (* (* (+ 9 (* a (+ 3 a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (* (* (+ a -1) (+ 9 (* a a))) (- 27 (pow a 3))) (* (- 1 (* (pow a 3) (pow a 3))) (* a a)))) (* (* 4 (* (+ a -1) (+ 9 (* a (+ 3 a))))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))) (* (* (* (* (+ a -1) (+ 9 (* a a))) (* (- 27 (pow a 3)) (- (* a a) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))) (* (+ 9 (* a (+ 3 a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1859 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (220 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 9 (* a (+ 3 a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (* (* (+ a -1) (+ (* a a) 9)) (- 27 (pow a 3))) (* (- 1 (* (pow a 3) (pow a 3))) (* a a)))) (* (* (* 4 (* (+ 3 a) (+ a -1))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (* (* (+ a -1) (+ (* a a) 9)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ 9 (* a (+ 3 a))))) (* (* (+ (* a a) -1) (- 9 (* a a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 9 (* a (+ 3 a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (* (* (+ a -1) (+ (* a a) 9)) (- 27 (pow a 3))) (* (- 1 (* (pow a 3) (pow a 3))) (* a a)))) (* (* (* 4 (* (+ 3 a) (+ a -1))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (* (* (+ a -1) (+ (* a a) 9)) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (+ 9 (* a (+ 3 a))))) (* (* (+ (* a a) -1) (- 9 (* a a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1860 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ a -1) (+ (* a a) 9)) (+ 9 (* a (+ 3 a)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- (+ (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))))) (* (* (+ a 1) (- 27 (pow a 3))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a))))))) (* (+ (* (* (+ 9 (* a (+ 3 a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (* (* (+ a -1) (+ (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (+ 9 (* a (+ 3 a)))) (- (+ (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a))))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (* (+ a -1) (+ (* a a) 9)) (+ 9 (* a (+ 3 a)))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- (+ (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))))) (* (* (+ a 1) (- 27 (pow a 3))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a))))))) (* (+ (* (* (+ 9 (* a (+ 3 a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (* (* (+ a -1) (+ (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (+ 9 (* a (+ 3 a)))) (- (+ (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a))))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1861 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (218 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 9 (* a (+ 3 a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (* a a) (- 27 (pow a 3))) (* (+ -1 a) (+ (* a a) 9))))) (* (* (* 4 (+ 3 a)) (- (+ (pow b 4) (pow a 4)) (* (* (* 2 b) b) (* a a)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* 2 b) b) (* a a)) (* (* (* 2 b) b) (* a a)))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* 2 b) b) (* a a)) (* (* (* 2 b) b) (* a a)))) (* (+ a 1) (- 9 (* a a)))) (* (* (+ 9 (* a (+ 3 a))) (* (* (+ -1 a) (+ (* a a) 9)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* 2 b) b) (* a a)) (* (* (* 2 b) b) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 9 (* a (+ 3 a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (* a a) (- 27 (pow a 3))) (* (+ -1 a) (+ (* a a) 9))))) (* (* (* 4 (+ 3 a)) (- (+ (pow b 4) (pow a 4)) (* (* (* 2 b) b) (* a a)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* 2 b) b) (* a a)) (* (* (* 2 b) b) (* a a)))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* 2 b) b) (* a a)) (* (* (* 2 b) b) (* a a)))) (* (+ a 1) (- 9 (* a a)))) (* (* (+ 9 (* a (+ 3 a))) (* (* (+ -1 a) (+ (* a a) 9)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* 2 b) b) (* a a)) (* (* (* 2 b) b) (* a a))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1862 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 9 (* (+ 3 a) a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (* (* (+ a -1) (+ (* a a) 9)) (- 27 (pow a 3))) (* (- 1 (* (pow a 3) (pow a 3))) (* a a)))) (* (* (* 4 (+ (* a a) (- 1 a))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))) (* (* (* (- 3 a) (+ 1 (pow a 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (* (* (+ a -1) (+ (* a a) 9)) (+ 9 (* (+ 3 a) a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 9 (* (+ 3 a) a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (* (* (+ a -1) (+ (* a a) 9)) (- 27 (pow a 3))) (* (- 1 (* (pow a 3) (pow a 3))) (* a a)))) (* (* (* 4 (+ (* a a) (- 1 a))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))) (* (* (* (- 3 a) (+ 1 (pow a 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))) (* (* (* (* (+ a -1) (+ (* a a) 9)) (+ 9 (* (+ 3 a) a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1863 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 3 a) (- (* a a) 1)) (+ (+ (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a))))) (- (+ (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a))))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 9 (* a (+ 3 a))) (* (- a 1) (+ (* a a) 9)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (* a (* (* 2 b) (* b a))))))) (* (+ (* (* (+ 9 (* a (+ 3 a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (* (* (- a 1) (+ (* a a) 9)) (* (* a a) (- 27 (pow a 3)))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* 4 (- a 1)) (- (+ (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (* a (* (* 2 b) (* b a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 3 a) (- (* a a) 1)) (+ (+ (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a))))) (- (+ (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a))))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 9 (* a (+ 3 a))) (* (- a 1) (+ (* a a) 9)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (* a (* (* 2 b) (* b a))))))) (* (+ (* (* (+ 9 (* a (+ 3 a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (* (* (- a 1) (+ (* a a) 9)) (* (* a a) (- 27 (pow a 3)))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* 4 (- a 1)) (- (+ (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (* a (* (* 2 b) (* b a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1864 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (208 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 9 (* a (+ 3 a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (* (* (+ a -1) (+ (* a a) 9)) (- 27 (pow a 3))) (* (- 1 (* (pow a 3) (pow a 3))) (* a a)))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ 9 (* a (+ 3 a)))) (* (+ (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))))) (* (* (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 9 (* a (+ 3 a))) (* (+ a -1) (+ (* a a) 9)))) (* (+ (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 9 (* a (+ 3 a))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (* (* (+ a -1) (+ (* a a) 9)) (- 27 (pow a 3))) (* (- 1 (* (pow a 3) (pow a 3))) (* a a)))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ 9 (* a (+ 3 a)))) (* (+ (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))))) (* (* (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 9 (* a (+ 3 a))) (* (+ a -1) (+ (* a a) 9)))) (* (+ (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1865 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 9 (* a (+ 3 a))) (* (- a 1) (+ (* a a) 9)))) (* (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (+ (* (* (* 2 b) (* b a)) a) (+ (pow b 4) (pow a 4)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a)) (+ (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a))))) (* (+ (* (* (+ 9 (* a (+ 3 a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (* a a) (- 27 (pow a 3))) (* (- a 1) (+ (* a a) 9))))) (* (* (* 4 (+ 3 a)) (+ (* a a) (- 1 a))) (* (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a)) (+ (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 9 (* a (+ 3 a))) (* (- a 1) (+ (* a a) 9)))) (* (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (+ (* (* (* 2 b) (* b a)) a) (+ (pow b 4) (pow a 4)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a)) (+ (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a))))) (* (+ (* (* (+ 9 (* a (+ 3 a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (* a a) (- 27 (pow a 3))) (* (- a 1) (+ (* a a) 9))))) (* (* (* 4 (+ 3 a)) (+ (* a a) (- 1 a))) (* (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a)) (+ (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1866 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 9 (* a (+ 3 a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (* (* (+ a -1) (+ 9 (* a a))) (* (- 27 (pow a 3)) (+ (* a a) -1))) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (+ (* (* (+ 9 (* a (+ 3 a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (* (* (+ a -1) (+ 9 (* a a))) (* (* a a) (- 27 (pow a 3)))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ a -1)) (+ 9 (* a (+ 3 a)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 9 (* a (+ 3 a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (* (* (+ a -1) (+ 9 (* a a))) (* (- 27 (pow a 3)) (+ (* a a) -1))) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (+ (* (* (+ 9 (* a (+ 3 a))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (* (* (+ a -1) (+ 9 (* a a))) (* (* a a) (- 27 (pow a 3)))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* 4 (+ a -1)) (+ 9 (* a (+ 3 a)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1867 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* b (* 2 b)) (* a a))) (- (- (pow b 4) (pow a 4)) (* (* b (* 2 b)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 9 (* a (+ 3 a))) (* (- a 1) (+ (* a a) 9))))) (* (* (- 9 (* a a)) (- (* a a) 1)) (+ (* (* b (* 2 b)) (* a a)) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (+ 9 (* a (+ 3 a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (* (- a 1) (+ (* a a) 9)) (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))))) (* (* (* 4 (- a 1)) (+ 3 a)) (* (+ (- (pow b 4) (pow a 4)) (* (* b (* 2 b)) (* a a))) (- (- (pow b 4) (pow a 4)) (* (* b (* 2 b)) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* b (* 2 b)) (* a a))) (- (- (pow b 4) (pow a 4)) (* (* b (* 2 b)) (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (* (+ 9 (* a (+ 3 a))) (* (- a 1) (+ (* a a) 9))))) (* (* (- 9 (* a a)) (- (* a a) 1)) (+ (* (* b (* 2 b)) (* a a)) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (+ 9 (* a (+ 3 a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (* (- a 1) (+ (* a a) 9)) (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))))) (* (* (* 4 (- a 1)) (+ 3 a)) (* (+ (- (pow b 4) (pow a 4)) (* (* b (* 2 b)) (* a a))) (- (- (pow b 4) (pow a 4)) (* (* b (* 2 b)) (* a a))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1868 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ 9 (* a (+ a 3))) (* (+ -1 a) (+ (* a a) 9)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b (* 2 b)) (* a a))) (* (- 27 (pow a 3)) (+ a 1)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* b (* 2 b)) (* a a)) (* (* b (* 2 b)) (* a a))))) (* (+ (* (* (+ 9 (* a (+ a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (* a a) (- 27 (pow a 3))) (* (+ -1 a) (+ (* a a) 9))))) (* (+ 36 (* 4 (* a (+ a 3)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* b (* 2 b)) (* a a)) (* (* b (* 2 b)) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (* (+ 9 (* a (+ a 3))) (* (+ -1 a) (+ (* a a) 9)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b (* 2 b)) (* a a))) (* (- 27 (pow a 3)) (+ a 1)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* b (* 2 b)) (* a a)) (* (* b (* 2 b)) (* a a))))) (* (+ (* (* (+ 9 (* a (+ a 3))) (+ (* (* a a) (* a a)) (+ 1 (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (* a a) (- 27 (pow a 3))) (* (+ -1 a) (+ (* a a) 9))))) (* (+ 36 (* 4 (* a (+ a 3)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* b (* 2 b)) (* a a)) (* (* b (* 2 b)) (* a a))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1869 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ 3 a)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 9 (* a (+ 3 a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (* (* (+ -1 a) (+ (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (* a a) (- 27 (pow a 3))))) (* (+ (* 4 a) 12) (* (+ (- (pow b 4) (pow a 4)) (* (* b (* 2 b)) (* a a))) (- (- (pow b 4) (pow a 4)) (* (* b (* 2 b)) (* a a)))))) (* (* (+ 9 (* a (+ 3 a))) (* (* (* (+ -1 a) (+ (* a a) 9)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* b (* 2 b)) (* a a)) (+ (pow b 4) (pow a 4))))) (* (* (- 9 (* a a)) (+ a 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* b (* 2 b)) (* a a))) (- (- (pow b 4) (pow a 4)) (* (* b (* 2 b)) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 9 (* a (+ 3 a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (* (* (+ -1 a) (+ (* a a) 9)) (- 1 (* (pow a 3) (pow a 3)))) (* (* a a) (- 27 (pow a 3))))) (* (+ (* 4 a) 12) (* (+ (- (pow b 4) (pow a 4)) (* (* b (* 2 b)) (* a a))) (- (- (pow b 4) (pow a 4)) (* (* b (* 2 b)) (* a a)))))) (* (* (+ 9 (* a (+ 3 a))) (* (* (* (+ -1 a) (+ (* a a) 9)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (+ (* (* b (* 2 b)) (* a a)) (+ (pow b 4) (pow a 4))))) (* (* (- 9 (* a a)) (+ a 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* b (* 2 b)) (* a a))) (- (- (pow b 4) (pow a 4)) (* (* b (* 2 b)) (* a a))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 1870 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 9 (* a (+ 3 a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (* (* (- a 1) (+ (* a a) 9)) (- 27 (pow a 3))) (* (- 1 (* (pow a 3) (pow a 3))) (* a a)))) (* (* 4 (+ (* a a) (- 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))) (- (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))) (- (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a))))) (* (+ 9 (* a (+ 3 a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (* (- a 1) (+ (* a a) 9)) (* (+ 1 (pow a 3)) (- 3 a))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 9 (* a (+ 3 a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (- (* a a) 1)))) (* (* (* (- a 1) (+ (* a a) 9)) (- 27 (pow a 3))) (* (- 1 (* (pow a 3) (pow a 3))) (* a a)))) (* (* 4 (+ (* a a) (- 1 a))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))) (- (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))) (- (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a))))) (* (+ 9 (* a (+ 3 a))) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (* (* (- a 1) (+ (* a a) 9)) (* (+ 1 (pow a 3)) (- 3 a))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 1871 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- a 1)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (* (+ -1 a) (+ (* a a) 9)) (+ 9 (* (+ 3 a) a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (* (- 3 a) (+ (* a a) -1)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))) (* (+ (* (* (+ 9 (* (+ 3 a) a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (* (+ -1 a) (+ (* a a) 9)) (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))))) (* (+ (* a 4) -4) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (* (+ -1 a) (+ (* a a) 9)) (+ 9 (* (+ 3 a) a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (* (- 3 a) (+ (* a a) -1)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))) (* (+ (* (* (+ 9 (* (+ 3 a) a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (* (+ -1 a) (+ (* a a) 9)) (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))))) (* (+ (* a 4) -4) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (- a 1))))) 1)) * * * * [misc]progress: [ 1872 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (225 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (+ 9 (* a (+ 3 a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (* a a) (- 27 (pow a 3))) (* (+ -1 a) (+ (* a a) 9))))) 4) (* (+ (* (* (* (* a a) (* 2 b)) b) (- (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))))) (* (* (* (- 3 a) (+ a 1)) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (+ 9 (* a (+ 3 a))) (* (* (+ -1 a) (+ (* a a) 9)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (+ 9 (* a (+ 3 a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (* a a) (- 27 (pow a 3))) (* (+ -1 a) (+ (* a a) 9))))) 4) (* (+ (* (* (* (* a a) (* 2 b)) b) (- (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))))) (* (* (* (- 3 a) (+ a 1)) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (+ 9 (* a (+ 3 a))) (* (* (+ -1 a) (+ (* a a) 9)) (+ (+ 1 (* a a)) (* (* a a) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 1873 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (* (- a 1) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (205 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (- 3 a) (+ a 1)) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 b) b) (* a a)))) (- (+ (pow b 4) (pow a 4)) (* (* (* 2 b) b) (* a a)))) (* (* (* (* (+ -1 a) (+ (* a a) 9)) (+ 9 (* (+ 3 a) a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* 2 b) b) (* a a)) (* (* (* 2 b) b) (* a a)))))) (* (+ (* (* (+ 9 (* (+ 3 a) a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (* a a) (- 27 (pow a 3))) (* (+ -1 a) (+ (* a a) 9))))) (* (* 4 (- (+ (pow b 4) (pow a 4)) (* (* (* 2 b) b) (* a a)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* 2 b) b) (* a a)) (* (* (* 2 b) b) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (- 3 a) (+ a 1)) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 b) b) (* a a)))) (- (+ (pow b 4) (pow a 4)) (* (* (* 2 b) b) (* a a)))) (* (* (* (* (+ -1 a) (+ (* a a) 9)) (+ 9 (* (+ 3 a) a))) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* 2 b) b) (* a a)) (* (* (* 2 b) b) (* a a)))))) (* (+ (* (* (+ 9 (* (+ 3 a) a)) (+ (+ 1 (* a a)) (* (* a a) (* a a)))) (* (- 81 (* (* a a) (* a a))) (* (* b b) (+ (* a a) -1)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (* a a) (- 27 (pow a 3))) (* (+ -1 a) (+ (* a a) 9))))) (* (* 4 (- (+ (pow b 4) (pow a 4)) (* (* (* 2 b) b) (* a a)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* 2 b) b) (* a a)) (* (* (* 2 b) b) (* a a))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (- a 1) (+ 9 (* a a)))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 1874 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))) (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* 2 (* b b))))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3))))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (+ (* (* (* (* a a) (* 2 b)) b) (- (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))) (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) (* a a)) (* 2 (* b b))))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3))))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (+ (* (* (* (* a a) (* 2 b)) b) (- (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1875 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (- 9 (* a a)) (+ 1 (pow a 3))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 3 a))) (+ (* (* (* (* a a) (* 2 b)) b) (- (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (- 9 (* a a)) (+ 1 (pow a 3))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 3 a))) (+ (* (* (* (* a a) (* 2 b)) b) (- (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1876 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (241 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* (+ 3 a) a))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a))))))) (* (* 4 (* (+ -1 a) (+ 9 (* (+ 3 a) a)))) (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* (+ 3 a) a))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (- (* a a) 1) (- 27 (pow a 3))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* (+ 3 a) a))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a))))))) (* (* 4 (* (+ -1 a) (+ 9 (* (+ 3 a) a)))) (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* (+ 3 a) a))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (- (* a a) 1) (- 27 (pow a 3))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1877 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (246 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (- 9 (* a a)) (- (* a a) 1))) (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 9 (* a (+ a 3)))) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 9 (* a (+ a 3)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3))))))) (* (* 4 (* (+ a -1) (+ 3 a))) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (- 9 (* a a)) (- (* a a) 1))) (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 9 (* a (+ a 3)))) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 9 (* a (+ a 3)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3))))))) (* (* 4 (* (+ a -1) (+ 3 a))) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1878 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (230 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a))))))) (* (* 4 (+ 9 (* a (+ 3 a)))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))))) (* (* (- 27 (pow a 3)) (+ a 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a))))))) (* (* 4 (+ 9 (* a (+ 3 a)))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))))) (* (* (- 27 (pow a 3)) (+ a 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1879 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* b (* 2 b)) (* a a))) (+ (- (pow b 4) (pow a 4)) (* (* b (* 2 b)) (* a a)))) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))) (+ 81 (* (* a a) (+ 9 (* a a))))))) (* (* 4 (+ 3 a)) (+ (* (- (* (* b (* 2 b)) (* a a)) (+ (pow b 4) (pow a 4))) (* (* b (* 2 b)) (* a a))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (* (* b (* 2 b)) (* a a)) 3) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))))) (* (* (- 9 (* a a)) (+ a 1)) (* (- (- (pow b 4) (pow a 4)) (* (* b (* 2 b)) (* a a))) (+ (- (pow b 4) (pow a 4)) (* (* b (* 2 b)) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* b (* 2 b)) (* a a))) (+ (- (pow b 4) (pow a 4)) (* (* b (* 2 b)) (* a a)))) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))) (+ 81 (* (* a a) (+ 9 (* a a))))))) (* (* 4 (+ 3 a)) (+ (* (- (* (* b (* 2 b)) (* a a)) (+ (pow b 4) (pow a 4))) (* (* b (* 2 b)) (* a a))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (* (* b (* 2 b)) (* a a)) 3) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))))) (* (* (- 9 (* a a)) (+ a 1)) (* (- (- (pow b 4) (pow a 4)) (* (* b (* 2 b)) (* a a))) (+ (- (pow b 4) (pow a 4)) (* (* b (* 2 b)) (* a a))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1880 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (243 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (* (- 3 a) (+ 1 (pow a 3)))) (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a))))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (* (- 3 a) (+ 1 (pow a 3)))) (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a))))))) (* (* 4 (+ (- 1 a) (* a a))) (+ (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1881 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (234 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))))) (* (* (+ (* a a) -1) (- 3 a)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a))) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a))))))) (* (* 4 (+ -1 a)) (+ (* (* (* (* 2 b) (* b a)) a) (- (* (* (* 2 b) (* b a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* 8 (pow (* (* a a) (* b b)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))))) (* (* (+ (* a a) -1) (- 3 a)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a))) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a))))))) (* (* 4 (+ -1 a)) (+ (* (* (* (* 2 b) (* b a)) a) (- (* (* (* 2 b) (* b a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1882 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (230 enodes) * [exit]simplify: Simplified to (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))) (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* 4 (* (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ 3 a)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a)))) (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))) (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* 4 (* (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ 3 a)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a)))) (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1883 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (+ 9 (* a a)) (* a a))))) (* (* (* 4 (* (+ 3 a) (+ (* a a) (- 1 a)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a))))) (* (* (+ 81 (* (+ 9 (* a a)) (* a a))) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (+ 9 (* a a)) (* a a))))) (* (* (* 4 (* (+ 3 a) (+ (* a a) (- 1 a)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a))))) (* (* (+ 81 (* (+ 9 (* a a)) (* a a))) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1884 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ a -1) (+ 9 (* a (+ a 3))))) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (- 27 (pow a 3)) (- (* a a) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ a -1) (+ 9 (* a (+ a 3))))) (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (- 27 (pow a 3)) (- (* a a) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1885 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (233 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (* 4 (* (+ 3 a) (+ a -1))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))))) (* (* (- 9 (* a a)) (+ (* a a) -1)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (* 4 (* (+ 3 a) (+ a -1))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1886 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (216 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (* 4 (+ 9 (* a (+ 3 a)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))) (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (- 27 (pow a 3)) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (* 4 (+ 9 (* a (+ 3 a)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))) (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (- 27 (pow a 3)) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1887 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (- 9 (* a a)) (+ a 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))))) (* (* (* 4 (+ 3 a)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (- 9 (* a a)) (+ a 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))))) (* (* (* 4 (+ 3 a)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1888 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (228 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (- 3 a) (+ 1 (pow a 3))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (* 4 (+ (* a a) (- 1 a))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (- 3 a) (+ 1 (pow a 3))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (* 4 (+ (* a a) (- 1 a))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1889 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (219 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 3 a) (- (* a a) 1)) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (+ 81 (* (* a a) (+ 9 (* a a))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (* 4 (+ a -1)) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 3 a) (- (* a a) 1)) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (+ 81 (* (* a a) (+ 9 (* a a))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (* 4 (+ a -1)) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1890 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a)))))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ 9 (* a (+ 3 a)))) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (+ (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a)))))) (* (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ 9 (* a (+ 3 a)))) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1891 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (220 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (* 4 (+ 3 a)) (+ (* a a) (- 1 a))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (* 4 (+ 3 a)) (+ (* a a) (- 1 a))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1892 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (211 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* 4 (+ a -1)) (+ 9 (* a (+ a 3)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (+ 81 (* (* a a) (+ (* a a) 9)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (* (- (* a a) 1) (- 27 (pow a 3))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (* 4 (+ a -1)) (+ 9 (* a (+ a 3)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (+ 81 (* (* a a) (+ (* a a) 9)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (* (- (* a a) 1) (- 27 (pow a 3))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1893 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (217 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (* (+ (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4))) (* (- (* a a) 1) (- 9 (* a a)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))))) (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (* 4 (+ 3 a)) (+ a -1)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (+ 81 (* (* a a) (+ 9 (* a a))))) (* (* (+ (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4))) (* (- (* a a) 1) (- 9 (* a a)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))))) (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (* 4 (+ 3 a)) (+ a -1)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1894 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 9 (* a (+ 3 a)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (+ 9 (* a (+ 3 a))) 4) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))) (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 9 (* a (+ 3 a)))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))))) (* (* (- 27 (pow a 3)) (+ a 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 9 (* a (+ 3 a)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (* (+ 9 (* a (+ 3 a))) 4) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))) (* (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 9 (* a (+ 3 a)))) (* (+ 81 (* (* a a) (+ 9 (* a a)))) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))))) (* (* (- 27 (pow a 3)) (+ a 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1895 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ 3 a)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * [exit]simplify: Simplified to (+ (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))) (* (* (* (+ a 1) (- 9 (* a a))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (+ (* 4 a) 12) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ 81 (* (* a a) (+ 9 (* a a)))) (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))) (* (* (* (+ a 1) (- 9 (* a a))) (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ 9 (* a a)))))) (* (+ (* 4 a) 12) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 1896 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (+ (* a a) (- 1 a)) 4) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))))) (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (+ 1 (pow a 3)) (- 3 a)) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (+ (* a a) (- 1 a)) 4) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))))) (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* (+ 1 (pow a 3)) (- 3 a)) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 1897 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- a 1)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (+ 81 (* (* a a) (+ (* a a) 9)))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (* (- 3 a) (- (* a a) 1)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))))) (* (+ (* a 4) -4) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (+ 81 (* (* a a) (+ (* a a) 9)))) (+ (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (* (- 3 a) (- (* a a) 1)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ a 3)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))))) (* (+ (* a 4) -4) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (- a 1))))) 1)) * * * * [misc]progress: [ 1898 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- 3 a) (+ a 1))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (+ (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))))) (* (* 4 (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (+ (* (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* 2 (* (* a a) (* b b)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* (+ (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* a a) (* b b)) 3))) (* (- 3 a) (+ a 1))) (* (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (+ 81 (* (* a a) (+ (* a a) 9)))) (* (+ (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))))) (* (* 4 (+ (* (* (+ (+ 1 (* a a)) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ (* a a) 9)))))) (* (+ (* (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) (* 2 (* (* a a) (* b b)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))) (* (+ (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 1899 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 9 (* a (+ 3 a)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 9 (* a (+ 3 a)))))) (* (* (- 3 a) (+ a 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 9 (* a (+ 3 a)))) (* (* (* b b) (+ a 1)) (- 729 (* (pow a 3) (pow a 3))))) (* (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))) (+ 81 (* (* a a) (+ (* a a) 9))))) (* (* 4 (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (* (+ 81 (* (* a a) (+ (* a a) 9))) (* (+ (* (* a a) (* a a)) (+ 1 (* a a))) (+ 9 (* a (+ 3 a)))))) (* (* (- 3 a) (+ a 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a))))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 1900 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (234 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (+ (* (* (* (* 2 b) (* b a)) (* (* 2 b) (* b a))) (* (* (* a a) (* a a)) (* (* 2 b) b))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ (* (+ 3 a) a) 9) (+ 9 (* a a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* (+ 3 a) a) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* (+ 3 a) a)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (- (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 27 (pow a 3)) (+ 1 (pow a 3))) (+ (* (* (* (* 2 b) (* b a)) (* (* 2 b) (* b a))) (* (* (* a a) (* a a)) (* (* 2 b) b))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ (* (+ 3 a) a) 9) (+ 9 (* a a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* (+ 3 a) a) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* (+ 3 a) a)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (- (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1901 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (68 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 3 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))))))) (* (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (+ (pow (* (* (* a a) 2) (* b b)) 3) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ 9 (* a a))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 3 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))))))) (* (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (+ (pow (* (* (* a a) 2) (* b b)) 3) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ 9 (* a a))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1902 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ (* a (+ 3 a)) 9) (+ 9 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* 2 b) (* b a)) (* (* 2 b) (* b a))) (* (* (* a a) (* a a)) (* (* 2 b) b))))) (* (* (- 27 (pow a 3)) (+ (* a a) -1)) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))) (- (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))) (- (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a))))) (+ (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 27 (pow a 3))) (+ 9 (* a a)))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))))) (* (* 4 (* (+ -1 a) (+ 9 (* a (+ 3 a))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (- (* a (* (* 2 b) (* b a))) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ (* a (+ 3 a)) 9) (+ 9 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* 2 b) (* b a)) (* (* 2 b) (* b a))) (* (* (* a a) (* a a)) (* (* 2 b) b))))) (* (* (- 27 (pow a 3)) (+ (* a a) -1)) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))) (- (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))) (- (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a))))) (+ (* (- 1 (pow (* a a) 3)) (* (* (* a a) (- 27 (pow a 3))) (+ 9 (* a a)))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))))) (* (* 4 (* (+ -1 a) (+ 9 (* a (+ 3 a))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (- (* a (* (* 2 b) (* b a))) (+ (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1903 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 9 (* a a)) (+ (* a a) -1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* 2 b) (* b a)) (* (* 2 b) (* b a))) (* (* (* a a) (* a a)) (* (* 2 b) b))))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ (* a (+ 3 a)) 9) (+ 9 (* a a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a))) (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))))) (* (* 4 (* (+ 3 a) (+ a -1))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* 2 b) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (* (* 2 b) (* b a)) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 9 (* a a)) (+ (* a a) -1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* 2 b) (* b a)) (* (* 2 b) (* b a))) (* (* (* a a) (* a a)) (* (* 2 b) b))))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ (* a (+ 3 a)) 9) (+ 9 (* a a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a))) (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))))) (* (* 4 (* (+ 3 a) (+ a -1))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* 2 b) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (* (* 2 b) (* b a)) a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1904 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (220 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))) (- (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a))))) (+ (* (* (+ 9 (* a a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow (* a a) 3)))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))))) (* (* 4 (+ (* a (+ 3 a)) 9)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (- (* a (* (* 2 b) (* b a))) (+ (pow b 4) (pow a 4))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))) (- (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a))))) (* (+ (* a (+ 3 a)) 9) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a a))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* 2 b) (* b a)) (* (* 2 b) (* b a))) (* (* (* a a) (* a a)) (* (* 2 b) b)))) (* (- 27 (pow a 3)) (+ a 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))) (- (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a))))) (+ (* (* (+ 9 (* a a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow (* a a) 3)))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))))) (* (* 4 (+ (* a (+ 3 a)) 9)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (- (* a (* (* 2 b) (* b a))) (+ (pow b 4) (pow a 4))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))) (- (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a))))) (* (+ (* a (+ 3 a)) 9) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a a))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* 2 b) (* b a)) (* (* 2 b) (* b a))) (* (* (* a a) (* a a)) (* (* 2 b) b)))) (* (- 27 (pow a 3)) (+ a 1))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1905 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a)) (+ (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a))) (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))))) (* (* 4 (+ 3 a)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* 2 b) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (* (* 2 b) (* b a)) a))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a)) (+ (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ 9 (* a a)) (* (+ a 1) (- 9 (* a a)))) (+ (* (* (* (* 2 b) (* b a)) (* (* 2 b) (* b a))) (* (* (* a a) (* a a)) (* b (* 2 b)))) (pow (+ (pow b 4) (pow a 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a)) (+ (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a))) (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))))) (* (* 4 (+ 3 a)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* 2 b) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (* (* 2 b) (* b a)) a))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a)) (+ (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ 9 (* a a)) (* (+ a 1) (- 9 (* a a)))) (+ (* (* (* (* 2 b) (* b a)) (* (* 2 b) (* b a))) (* (* (* a a) (* a a)) (* b (* 2 b)))) (pow (+ (pow b 4) (pow a 4)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1906 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (233 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a))) (* (+ (* (+ 3 a) a) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ 9 (* a a)) (* (- 3 a) (+ 1 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* 2 b) (* b a)) (* (* 2 b) (* b a))) (* (* (* a a) (* a a)) (* b (* 2 b))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a))) (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* (+ 3 a) a) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* 2 b) (* b a)) a) (- (* (* (* 2 b) (* b a)) a) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a))) (* (+ (* (+ 3 a) a) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ 9 (* a a)) (* (- 3 a) (+ 1 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* 2 b) (* b a)) (* (* 2 b) (* b a))) (* (* (* a a) (* a a)) (* b (* 2 b))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a))) (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* (+ 3 a) a) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* 2 b) (* b a)) a) (- (* (* (* 2 b) (* b a)) a) (+ (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1907 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (223 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))))) (* (* 4 (+ -1 a)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (- (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ (* a (+ a 3)) 9) (+ 9 (* a a))))) (* (* (- 3 a) (- (* a a) 1)) (+ (pow (* (* (* a a) (* 2 b)) b) 3) (pow (+ (pow b 4) (pow a 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))))) (* (* 4 (+ -1 a)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (- (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ (* a (+ a 3)) 9) (+ 9 (* a a))))) (* (* (- 3 a) (- (* a a) 1)) (+ (pow (* (* (* a a) (* 2 b)) b) 3) (pow (+ (pow b 4) (pow a 4)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1908 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (220 enodes) * [exit]simplify: Simplified to (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))) (+ (* (* (* (+ 9 (* a a)) (* (- 27 (pow a 3)) (+ 1 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (* (+ (- 1 a) (* a a)) (+ (* a (+ a 3)) 9)) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))) (+ (* (* (* (+ 9 (* a a)) (* (- 27 (pow a 3)) (+ 1 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (* (+ (- 1 a) (* a a)) (+ (* a (+ a 3)) 9)) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) 4)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1909 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (* a (* (* 2 b) (* b a))))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ (* a (+ 3 a)) 9) (+ 9 (* a a))))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (* a (* (* 2 b) (* b a))))))) (* (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ 3 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (* a (* (* 2 b) (* b a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (* a (* (* 2 b) (* b a))))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ (* a (+ 3 a)) 9) (+ 9 (* a a))))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (* a (* (* 2 b) (* b a))))))) (* (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) (* (* (* 4 (* (+ (- 1 a) (* a a)) (+ 3 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (* a (* (* 2 b) (* b a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1910 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (216 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ (* a a) -1) (- 27 (pow a 3))) (* (* (* (+ 9 (* a a)) (+ (* a (+ 3 a)) 9)) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* 2 b) b) (* a a)) (* (* (* 2 b) b) (* a a)))))) (* (* 4 (* (* (+ a -1) (+ 9 (* a (+ 3 a)))) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))))) (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a)))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a)))))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* 2 b) b) (* a a)) (* (* (* 2 b) b) (* a a))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (+ (* a a) -1) (- 27 (pow a 3))) (* (* (* (+ 9 (* a a)) (+ (* a (+ 3 a)) 9)) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* 2 b) b) (* a a)) (* (* (* 2 b) b) (* a a)))))) (* (* 4 (* (* (+ a -1) (+ 9 (* a (+ 3 a)))) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))))) (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a)))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a)))))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* 2 b) b) (* a a)) (* (* (* 2 b) b) (* a a))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1911 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 9 (* a a)) (- 1 (pow (* a a) 3))) (* (- 27 (pow a 3)) (* a a))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) (* (* (* 4 (* (+ 3 a) (+ a -1))) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (+ (* a a) -1) (- 9 (* a a)))) (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a a))) (+ (* a (+ 3 a)) 9)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 9 (* a a)) (- 1 (pow (* a a) 3))) (* (- 27 (pow a 3)) (* a a))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) (* (* (* 4 (* (+ 3 a) (+ a -1))) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (+ (* a a) -1) (- 9 (* a a)))) (* (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a a))) (+ (* a (+ 3 a)) 9)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1912 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* (+ 3 a) a) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (* 4 (+ (* (+ 3 a) a) 9)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2))) (* (+ (* (+ 3 a) a) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ 9 (* a a)) (* (- 27 (pow a 3)) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* (+ 3 a) a) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (* 4 (+ (* (+ 3 a) a) 9)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2))) (* (+ (* (+ 3 a) a) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ 9 (* a a)) (* (- 27 (pow a 3)) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1913 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 9 (* a a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow (* a a) 3)))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (* 4 (+ 3 a)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* 2 b) (* b a)) a) (* (* (* 2 b) (* b a)) a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* 2 b) (* b a)) a) (* (* (* 2 b) (* b a)) a))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ 9 (* a a)) (* (- 9 (* a a)) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* 2 b) (* b a)) a) (* (* (* 2 b) (* b a)) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 9 (* a a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow (* a a) 3)))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (* 4 (+ 3 a)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* 2 b) (* b a)) a) (* (* (* 2 b) (* b a)) a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* 2 b) (* b a)) a) (* (* (* 2 b) (* b a)) a))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ 9 (* a a)) (* (- 9 (* a a)) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* 2 b) (* b a)) a) (* (* (* 2 b) (* b a)) a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1914 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (218 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 9 (* a a)) (- 1 (pow (* a a) 3))) (* (- 27 (pow a 3)) (* a a))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* 2 b) b) (* a a)) (* (* (* 2 b) b) (* a a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* 2 b) b) (* a a)) (* (* (* 2 b) b) (* a a)))) (* (* (+ 9 (* a a)) (+ (* a (+ a 3)) 9)) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* 2 b) b) (* a a)) (* (* (* 2 b) b) (* a a)))) (* (+ 1 (pow a 3)) (- 3 a))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 9 (* a a)) (- 1 (pow (* a a) 3))) (* (- 27 (pow a 3)) (* a a))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* 2 b) b) (* a a)) (* (* (* 2 b) b) (* a a)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* 2 b) b) (* a a)) (* (* (* 2 b) b) (* a a)))) (* (* (+ 9 (* a a)) (+ (* a (+ a 3)) 9)) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* 2 b) b) (* a a)) (* (* (* 2 b) b) (* a a)))) (* (+ 1 (pow a 3)) (- 3 a))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1915 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 9 (* a a)) (* (* a a) (- 27 (pow a 3)))) (- 1 (pow (* a a) 3))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (* 4 (+ -1 a)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (* a (* (* 2 b) (* b a))))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (* a (* (* 2 b) (* b a))))) (* (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ 9 (* a a)))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (* a (* (* 2 b) (* b a))))) (* (- 3 a) (+ (* a a) -1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 9 (* a a)) (* (* a a) (- 27 (pow a 3)))) (- 1 (pow (* a a) 3))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (* 4 (+ -1 a)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (* a (* (* 2 b) (* b a))))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (* a (* (* 2 b) (* b a))))) (* (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ 9 (* a a)))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (* a (* (* 2 b) (* b a))))) (* (- 3 a) (+ (* a a) -1))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1916 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a)))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* a (+ 3 a)) 9)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (+ (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4))))) (* (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ 9 (* a a))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a)))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (* a (+ 3 a)) 9)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (+ (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4))))) (* (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ 9 (* a a))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1917 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a (+ 3 a)) 9) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b (* 2 b)) (* a a)))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* b (* 2 b)) (* a a)) (* (* b (* 2 b)) (* a a)))))) (* (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (* 4 (+ 3 a)) (+ (- 1 a) (* a a))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* b (* 2 b)) (* a a)) (* (* b (* 2 b)) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* a (+ 3 a)) 9) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* b (* 2 b)) (* a a)))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* b (* 2 b)) (* a a)) (* (* b (* 2 b)) (* a a)))))) (* (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (* 4 (+ 3 a)) (+ (- 1 a) (* a a))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* b (* 2 b)) (* a a)) (* (* b (* 2 b)) (* a a))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1918 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (201 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) (* (* (* 4 (+ a -1)) (+ (* a (+ 3 a)) 9)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (* (- 27 (pow a 3)) (+ (* a a) -1))) (* (* (+ (* a (+ 3 a)) 9) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a a)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) (* (* (* 4 (+ a -1)) (+ (* a (+ 3 a)) 9)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (* (- 27 (pow a 3)) (+ (* a a) -1))) (* (* (+ (* a (+ 3 a)) 9) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a a)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1919 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 9 (* a a)) (* (* a a) (- 27 (pow a 3)))) (- 1 (pow (* a a) 3))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (* 4 (+ a -1)) (+ 3 a)) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ 9 (* a a)) (* (- 9 (* a a)) (+ (* a a) -1))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 9 (* a a)) (* (* a a) (- 27 (pow a 3)))) (- 1 (pow (* a a) 3))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (* 4 (+ a -1)) (+ 3 a)) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a)))) (+ (- (pow b 4) (pow a 4)) (* 2 (* (* b b) (* a a))))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ 9 (* a a)) (* (- 9 (* a a)) (+ (* a a) -1))) (+ (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1920 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a)))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (+ (* a (+ 3 a)) 9) 4) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))))) (* (* (* (- 27 (pow a 3)) (+ a 1)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a a))) (+ (* a (+ 3 a)) 9)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a)))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (+ (* a (+ 3 a)) 9) 4) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))))) (* (* (* (- 27 (pow a 3)) (+ a 1)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (* (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a a))) (+ (* a (+ 3 a)) 9)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1921 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ 3 a)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* 2 b) b) (* a a))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) b) (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ 9 (* a a)) (* (+ a 1) (- 9 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 b) b) (* a a))))) (* (+ (* (* (+ 9 (* a a)) (* (* a a) (- 27 (pow a 3)))) (- 1 (pow (* a a) 3))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (+ (* 4 a) 12) (* (+ (- (pow b 4) (pow a 4)) (* (* (* 2 b) b) (* a a))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) b) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* 2 b) b) (* a a))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) b) (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ 9 (* a a)) (* (+ a 1) (- 9 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 b) b) (* a a))))) (* (+ (* (* (+ 9 (* a a)) (* (* a a) (- 27 (pow a 3)))) (- 1 (pow (* a a) 3))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (+ (* 4 a) 12) (* (+ (- (pow b 4) (pow a 4)) (* (* (* 2 b) b) (* a a))) (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) b) (* a a))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 1922 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 9 (* a a)) (- 1 (pow (* a a) 3))) (* (* a a) (- 27 (pow a 3)))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) (* (* (+ (- 1 a) (* a a)) 4) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (* (+ (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4))) (* (- 3 a) (+ 1 (pow a 3))))) (* (* (+ 9 (* a a)) (+ (* a (+ 3 a)) 9)) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 9 (* a a)) (- 1 (pow (* a a) 3))) (* (* a a) (- 27 (pow a 3)))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) (* (* (+ (- 1 a) (* a a)) 4) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (* (+ (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4))) (* (- 3 a) (+ 1 (pow a 3))))) (* (* (+ 9 (* a a)) (+ (* a (+ 3 a)) 9)) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 1923 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- a 1)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (- 3 a) (+ (* a a) -1)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ (* a (+ 3 a)) 9) (+ 9 (* a a))))) (* (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (+ -1 a) 4) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)) (* (- 3 a) (+ (* a a) -1)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ (* a (+ 3 a)) 9) (+ 9 (* a a))))) (* (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (+ -1 a) 4) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (- a 1))))) 1)) * * * * [misc]progress: [ 1924 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (219 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ a 1) (- 3 a))) (* (* (+ (* a (+ 3 a)) 9) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a)))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))))) (* 4 (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ a 1) (- 3 a))) (* (* (+ (* a (+ 3 a)) 9) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a a)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a)))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))))) (* 4 (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 1925 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ 9 (* a a))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ a 1) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (* (- 3 a) (+ a 1))) (* (* (+ (* a (+ a 3)) 9) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a a)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))))) (* (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) (* (* 4 (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (* (- 3 a) (+ a 1))) (* (* (+ (* a (+ a 3)) 9) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a a)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))))) (* (+ (* (+ 9 (* a a)) (* (- 1 (pow (* a a) 3)) (* (* a a) (- 27 (pow a 3))))) (* (* (* (* b b) (+ a 1)) (- 81 (* (* a a) (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) (* (* 4 (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ 9 (* a a))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 1926 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (225 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a a) (- 1 a)) (* (+ (* a (+ 3 a)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* 2 b) (* b a)) (* (* 2 b) (* b a))) (* (* (* a a) (* a a)) (* b (* 2 b)))))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* (* (* (+ 1 (pow a 3)) b) (* b (- 9 (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (- 27 (pow a 3)) (* a a)) (* (+ (* a a) (- 1 a)) (- 1 (pow (* a a) 3)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ 3 a))))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* a a) (- 1 a)) (* (+ (* a (+ 3 a)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* 2 b) (* b a)) (* (* 2 b) (* b a))) (* (* (* a a) (* a a)) (* b (* 2 b)))))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* (* (* (+ 1 (pow a 3)) b) (* b (- 9 (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (- 27 (pow a 3)) (* a a)) (* (+ (* a a) (- 1 a)) (- 1 (pow (* a a) 3)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ 3 a))))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1927 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* b (* 2 b)) (* a a)) (* (* b (* 2 b)) (* a a)))) (+ (* (* (* (+ 1 (pow a 3)) b) (* b (- 9 (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow (* a a) 3)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 3 a))) (+ (* (* (* b (* 2 b)) (* a a)) (- (* (* b (* 2 b)) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* b (* 2 b)) (* a a)) 3)) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (* (* (+ (* a a) (- 1 a)) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* b (* 2 b)) (* a a)) (* (* b (* 2 b)) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* b (* 2 b)) (* a a)) (* (* b (* 2 b)) (* a a)))) (+ (* (* (* (+ 1 (pow a 3)) b) (* b (- 9 (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow (* a a) 3)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 3 a))) (+ (* (* (* b (* 2 b)) (* a a)) (- (* (* b (* 2 b)) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* b (* 2 b)) (* a a)) 3)) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (* (* (+ (* a a) (- 1 a)) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* b (* 2 b)) (* a a)) (* (* b (* 2 b)) (* a a))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1928 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (232 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (+ (* a a) (- 1 a)) (* (- (* a a) 1) (- 27 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* 2 b) (* b a)) (* (* 2 b) (* b a))) (* (* (* a a) (* a a)) (* (* 2 b) b)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))) (+ (* (* (+ 1 (pow a 3)) (* (- 9 (* a a)) (* b b))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (- 1 (pow (* a a) 3)) (* (* (- 27 (pow a 3)) (* a a)) (+ (* a a) (- 1 a)))))) (* (* 4 (* (- a 1) (+ 9 (* a (+ a 3))))) (+ (* (* (* (* a a) (* 2 b)) b) (- (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (+ (* a a) (- 1 a)) (* (- (* a a) 1) (- 27 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* 2 b) (* b a)) (* (* 2 b) (* b a))) (* (* (* a a) (* a a)) (* (* 2 b) b)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))) (+ (* (* (+ 1 (pow a 3)) (* (- 9 (* a a)) (* b b))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (- 1 (pow (* a a) 3)) (* (* (- 27 (pow a 3)) (* a a)) (+ (* a a) (- 1 a)))))) (* (* 4 (* (- a 1) (+ 9 (* a (+ a 3))))) (+ (* (* (* (* a a) (* 2 b)) b) (- (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1929 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (237 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ (* a a) -1) (- 9 (* a a)))) (* (* (+ (* a a) (- 1 a)) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (+ (* (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (* b b)) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (+ (* a a) (- 1 a)) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a)))))) (* (* 4 (* (+ a -1) (+ 3 a))) (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ (* a a) -1) (- 9 (* a a)))) (* (* (+ (* a a) (- 1 a)) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (+ (* (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (* b b)) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (+ (* a a) (- 1 a)) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a)))))) (* (* 4 (* (+ a -1) (+ 3 a))) (+ (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1930 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (223 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 27 (pow a 3)) (+ a 1))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ (* a (+ 3 a)) 9) (+ (* a a) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (+ (* (* (* (- 9 (* a a)) (* b b)) (+ 1 (pow a 3))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (- 27 (pow a 3)) (* a a)) (* (+ (* a a) (- 1 a)) (- 1 (pow (* a a) 3)))))) (* (* 4 (+ (* a (+ 3 a)) 9)) (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- 27 (pow a 3)) (+ a 1))) (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ (* a (+ 3 a)) 9) (+ (* a a) (- 1 a)))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (+ (* (* (* (- 9 (* a a)) (* b b)) (+ 1 (pow a 3))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (- 27 (pow a 3)) (* a a)) (* (+ (* a a) (- 1 a)) (- 1 (pow (* a a) 3)))))) (* (* 4 (+ (* a (+ 3 a)) 9)) (+ (* (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* a (* (* b b) (* 2 a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1931 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* b (* 2 b)) (* a a)) (* (* b (* 2 b)) (* a a)))) (+ (* (* (* (- 9 (* a a)) (* b b)) (+ 1 (pow a 3))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (- 1 (pow (* a a) 3)) (* (* (- 27 (pow a 3)) (* a a)) (+ (* a a) (- 1 a)))))) (* (* 4 (+ 3 a)) (+ (* (* (* b (* 2 b)) (* a a)) (- (* (* b (* 2 b)) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* b (* 2 b)) (* a a)) (* (* b (* 2 b)) (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (* (- 9 (* a a)) (+ a 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* b (* 2 b)) (* a a)) (* (* b (* 2 b)) (* a a)))) (+ (* (* (* (- 9 (* a a)) (* b b)) (+ 1 (pow a 3))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (- 1 (pow (* a a) 3)) (* (* (- 27 (pow a 3)) (* a a)) (+ (* a a) (- 1 a)))))) (* (* 4 (+ 3 a)) (+ (* (* (* b (* 2 b)) (* a a)) (- (* (* b (* 2 b)) (* a a)) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* b (* 2 b)) (* a a)) (* (* b (* 2 b)) (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (* (- 9 (* a a)) (+ a 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1932 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (* a (+ 3 a)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (+ (* a a) (- 1 a)) (* (- 3 a) (+ 1 (pow a 3)))) (+ (* (* (* (* 2 b) (* b a)) (* (* 2 b) (* b a))) (* (* (* a a) (* a a)) (* b (* 2 b)))) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* (* (* b b) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (+ (* a a) (- 1 a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow (* a a) 3)))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (* a (+ 3 a)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (+ (* a a) (- 1 a)) (* (- 3 a) (+ 1 (pow a 3)))) (+ (* (* (* (* 2 b) (* b a)) (* (* 2 b) (* b a))) (* (* (* a a) (* a a)) (* b (* 2 b)))) (pow (+ (pow b 4) (pow a 4)) 3)))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* (* (* b b) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (+ (* a a) (- 1 a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow (* a a) 3)))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* b b)) 2)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1933 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (+ (* (+ 3 a) a) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (* (- 3 a) (- (* a a) 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (+ (* (* (* b b) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (* (+ (* (+ 3 a) a) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (- 1 (pow (* a a) 3)) (* (* (- 27 (pow a 3)) (* a a)) (+ (* a a) (- 1 a)))))) (* (* 4 (- a 1)) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (+ (* (+ 3 a) a) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (* (- 3 a) (- (* a a) 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b))))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (+ (* (* (* b b) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (* (+ (* (+ 3 a) a) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (- 1 (pow (* a a) 3)) (* (* (- 27 (pow a 3)) (* a a)) (+ (* a a) (- 1 a)))))) (* (* 4 (- a 1)) (+ (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1934 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (211 enodes) * [exit]simplify: Simplified to (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* 2 b) (* b a)) a) (* (* (* 2 b) (* b a)) a))) (+ (* (* (+ (* a a) (- 1 a)) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* 2 b) (* b a)) a) (* (* (* 2 b) (* b a)) a))))) (* (* (* 4 (* (+ (* a a) (- 1 a)) (+ (* a (+ a 3)) 9))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (* (* (+ 1 (pow a 3)) b) (* b (- 9 (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (+ (* a a) (- 1 a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow (* a a) 3)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* 2 b) (* b a)) a) (* (* (* 2 b) (* b a)) a))) (+ (* (* (+ (* a a) (- 1 a)) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* 2 b) (* b a)) a) (* (* (* 2 b) (* b a)) a))))) (* (* (* 4 (* (+ (* a a) (- 1 a)) (+ (* a (+ a 3)) 9))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (* (* (+ 1 (pow a 3)) b) (* b (- 9 (* a a)))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (+ (* a a) (- 1 a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow (* a a) 3)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1935 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (217 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ 1 (pow a 3)) (* b b)) (- 9 (* a a))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (* (- 27 (pow a 3)) (* a a))) (- 1 (pow (* a a) 3)))) (* (* (* 4 (* (+ (* a a) (- 1 a)) (+ 3 a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (* (* (+ (* a a) (- 1 a)) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ 1 (pow a 3)) (* b b)) (- 9 (* a a))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (* (- 27 (pow a 3)) (* a a))) (- 1 (pow (* a a) 3)))) (* (* (* 4 (* (+ (* a a) (- 1 a)) (+ 3 a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (* (* (+ (* a a) (- 1 a)) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1936 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (218 enodes) * [exit]simplify: Simplified to (* (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (- (* a a) 1)) (* (- 27 (pow a 3)) (* (* (+ (* a a) (- 1 a)) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (+ (* a (+ a 3)) 9)))) (* (+ (* (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (* b b)) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (+ (* a a) (- 1 a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow (* a a) 3))))) (* (* 4 (* (+ a -1) (+ 9 (* a (+ a 3))))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (- (* a a) 1)) (* (- 27 (pow a 3)) (* (* (+ (* a a) (- 1 a)) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (+ (* a (+ a 3)) 9)))) (* (+ (* (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (* b b)) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (+ (* a a) (- 1 a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow (* a a) 3))))) (* (* 4 (* (+ a -1) (+ 9 (* a (+ a 3))))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1937 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ 1 (pow a 3)) (* b b)) (- 9 (* a a))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (- 27 (pow a 3)) (* a a)) (* (+ (* a a) (- 1 a)) (- 1 (pow (* a a) 3))))) (* (* (* 4 (* (+ a -1) (+ 3 a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (* (- 9 (* a a)) (- (* a a) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ 1 (pow a 3)) (* b b)) (- 9 (* a a))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (- 27 (pow a 3)) (* a a)) (* (+ (* a a) (- 1 a)) (- 1 (pow (* a a) 3))))) (* (* (* 4 (* (+ a -1) (+ 3 a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (* (- 9 (* a a)) (- (* a a) 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1938 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (- 9 (* a a)) (* b b)) (+ 1 (pow a 3))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (- 1 (pow (* a a) 3))) (* (- 27 (pow a 3)) (* a a)))) (* (* (* 4 (+ (* a (+ 3 a)) 9)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (* (* (* (+ a 1) (- 27 (pow a 3))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))) (* (* (+ (* a a) (- 1 a)) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (- 9 (* a a)) (* b b)) (+ 1 (pow a 3))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (- 1 (pow (* a a) 3))) (* (- 27 (pow a 3)) (* a a)))) (* (* (* 4 (+ (* a (+ 3 a)) 9)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (* (* (* (+ a 1) (- 27 (pow a 3))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))) (* (* (+ (* a a) (- 1 a)) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1939 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (* (+ a 1) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (* (* (+ 1 (pow a 3)) (* b b)) (- 9 (* a a))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (- 1 (pow (* a a) 3))) (* (- 27 (pow a 3)) (* a a)))) (* (* (* 4 (+ 3 a)) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (* (+ a 1) (- 9 (* a a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (* (* (+ 1 (pow a 3)) (* b b)) (- 9 (* a a))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (- 1 (pow (* a a) 3))) (* (- 27 (pow a 3)) (* a a)))) (* (* (* 4 (+ 3 a)) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1940 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (- 9 (* a a)) (* b b)) (+ 1 (pow a 3))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (- 1 (pow (* a a) 3)) (* (* (- 27 (pow a 3)) (* a a)) (+ (* a a) (- 1 a))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (* a a) (- 1 a)) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (- 3 a) (+ 1 (pow a 3))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (- 9 (* a a)) (* b b)) (+ 1 (pow a 3))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (- 1 (pow (* a a) 3)) (* (* (- 27 (pow a 3)) (* a a)) (+ (* a a) (- 1 a))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (* (+ (* a a) (- 1 a)) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (* (- 3 a) (+ 1 (pow a 3))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1941 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 1 (pow a 3)) (* (- 9 (* a a)) (* b b))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (* (- 27 (pow a 3)) (* a a))) (- 1 (pow (* a a) 3)))) (* (* (* 4 (+ -1 a)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (* (* (- (* a a) 1) (- 3 a)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (* (+ (* a a) (- 1 a)) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 1 (pow a 3)) (* (- 9 (* a a)) (* b b))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (* (- 27 (pow a 3)) (* a a))) (- 1 (pow (* a a) 3)))) (* (* (* 4 (+ -1 a)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (* (* (- (* a a) 1) (- 3 a)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (* (+ (* a a) (- 1 a)) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1942 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (* a a) (- 1 a)) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))))) (* (+ (* (* (* (- 9 (* a a)) (* b b)) (+ 1 (pow a 3))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow (* a a) 3))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* a (+ a 3)) 9)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (* (+ (* a a) (- 1 a)) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))))) (* (+ (* (* (* (- 9 (* a a)) (* b b)) (+ 1 (pow a 3))) (* (+ (* a (+ a 3)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow (* a a) 3))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* a (+ a 3)) 9)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1943 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (201 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (- 9 (* a a)) (* b b)) (+ 1 (pow a 3))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (+ (* a a) (- 1 a)) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))))) (* (* (* 4 (+ 3 a)) (+ (* a a) (- 1 a))) (* (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a)) (+ (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a))))) (* (* (+ (* (* (* 2 b) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (* (* (+ (* a a) (- 1 a)) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a)) (+ (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (- 9 (* a a)) (* b b)) (+ 1 (pow a 3))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (+ (* a a) (- 1 a)) (* (- 1 (pow (* a a) 3)) (* (- 27 (pow a 3)) (* a a))))) (* (* (* 4 (+ 3 a)) (+ (* a a) (- 1 a))) (* (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a)) (+ (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a))))) (* (* (+ (* (* (* 2 b) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (* (* (+ (* a a) (- 1 a)) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a)) (+ (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1944 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ 1 (pow a 3)) (* b b)) (- 9 (* a a))) (* (+ (* (+ 3 a) a) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow (* a a) 3))))) (* (* (* 4 (- a 1)) (+ (* (+ 3 a) a) 9)) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))))) (* (* (+ (* a a) (- 1 a)) (* (+ (* (+ 3 a) a) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* (- 27 (pow a 3)) (- (* a a) 1))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ 1 (pow a 3)) (* b b)) (- 9 (* a a))) (* (+ (* (+ 3 a) a) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow (* a a) 3))))) (* (* (* 4 (- a 1)) (+ (* (+ 3 a) a) 9)) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))))) (* (* (+ (* a a) (- 1 a)) (* (+ (* (+ 3 a) a) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))) (* (- 27 (pow a 3)) (- (* a a) 1))) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1945 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (* (- a 1) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (208 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (+ (* a a) (- 1 a)) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (- 9 (* a a)) (- (* a a) 1)))) (* (+ (* (* (* (+ 1 (pow a 3)) b) (* b (- 9 (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (- 1 (pow (* a a) 3)) (* (* (- 27 (pow a 3)) (* a a)) (+ (* a a) (- 1 a))))) (* (* (* 4 (+ 3 a)) (+ a -1)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (* (+ (* a a) (- 1 a)) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))))) (* (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (- 9 (* a a)) (- (* a a) 1)))) (* (+ (* (* (* (+ 1 (pow a 3)) b) (* b (- 9 (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (- 1 (pow (* a a) 3)) (* (* (- 27 (pow a 3)) (* a a)) (+ (* a a) (- 1 a))))) (* (* (* 4 (+ 3 a)) (+ a -1)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1946 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* a (+ 3 a)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (* (* (* (+ (* a a) (- 1 a)) (* (- 27 (pow a 3)) (+ a 1))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))))) (* (+ (* (* (* (- 9 (* a a)) (* b b)) (+ 1 (pow a 3))) (* (+ (* a (+ 3 a)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (- 1 (pow (* a a) 3)) (* (* (- 27 (pow a 3)) (* a a)) (+ (* a a) (- 1 a))))) (* (+ (* 4 (* a (+ 3 a))) 36) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* a (+ 3 a)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (* (* (* (+ (* a a) (- 1 a)) (* (- 27 (pow a 3)) (+ a 1))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))))) (* (+ (* (* (* (- 9 (* a a)) (* b b)) (+ 1 (pow a 3))) (* (+ (* a (+ 3 a)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (- 1 (pow (* a a) 3)) (* (* (- 27 (pow a 3)) (* a a)) (+ (* a a) (- 1 a))))) (* (+ (* 4 (* a (+ 3 a))) 36) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1947 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (+ 3 a)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (* (+ (* a a) (- 1 a)) (* (+ a 1) (- 9 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))))) (* (+ (* (* (* (- 9 (* a a)) (* b b)) (+ 1 (pow a 3))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow (* a a) 3))))) (* (+ (* 4 a) 12) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (* (* (+ (* a a) (- 1 a)) (* (+ a 1) (- 9 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))))) (* (+ (* (* (* (- 9 (* a a)) (* b b)) (+ 1 (pow a 3))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (* (+ (* a a) (- 1 a)) (- 27 (pow a 3))) (* (* a a) (- 1 (pow (* a a) 3))))) (* (+ (* 4 a) 12) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 1948 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* a (+ 3 a)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (* (* (* (+ (* a a) (- 1 a)) (* (+ 1 (pow a 3)) (- 3 a))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))))) (* (+ (* (* (* b b) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (- 1 (pow (* a a) 3)) (* (* (- 27 (pow a 3)) (* a a)) (+ (* a a) (- 1 a))))) (* (* 4 (+ (* a a) (- 1 a))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* a (+ 3 a)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (* (* (* (+ (* a a) (- 1 a)) (* (+ 1 (pow a 3)) (- 3 a))) (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))))) (* (+ (* (* (* b b) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (- 1 (pow (* a a) 3)) (* (* (- 27 (pow a 3)) (* a a)) (+ (* a a) (- 1 a))))) (* (* 4 (+ (* a a) (- 1 a))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 1949 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (- a 1)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* a a) (- 1 a)) (* (+ (* (+ 3 a) a) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (- (* a a) 1) (- 3 a))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (* (* (- 9 (* a a)) (* b b)) (+ 1 (pow a 3))) (* (+ (* (+ 3 a) a) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (- 1 (pow (* a a) 3)) (* (* (- 27 (pow a 3)) (* a a)) (+ (* a a) (- 1 a))))) (* (* 4 (- a 1)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* a a) (- 1 a)) (* (+ (* (+ 3 a) a) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (- (* a a) 1) (- 3 a))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (* (* (- 9 (* a a)) (* b b)) (+ 1 (pow a 3))) (* (+ (* (+ 3 a) a) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (- 1 (pow (* a a) 3)) (* (* (- 27 (pow a 3)) (* a a)) (+ (* a a) (- 1 a))))) (* (* 4 (- a 1)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (- a 1))))) 1)) * * * * [misc]progress: [ 1950 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 3 a) (+ a 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* 2 a)) a) 3))) (* (* (* (+ (* a a) (- 1 a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* a (+ 3 a)) 9)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (* b b) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (- 1 (pow (* a a) 3)) (* (* (- 27 (pow a 3)) (* a a)) (+ (* a a) (- 1 a))))) 4))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 3 a) (+ a 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* 2 a)) a) 3))) (* (* (* (+ (* a a) (- 1 a)) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (* a (+ 3 a)) 9)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a))) (+ (* (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 a)) a)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (* b b) (* (+ 1 (pow a 3)) (- 9 (* a a)))) (* (+ (* a (+ 3 a)) 9) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (- 1 (pow (* a a) 3)) (* (* (- 27 (pow a 3)) (* a a)) (+ (* a a) (- 1 a))))) 4))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 1951 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- 9 (* a a))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (201 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (* a a) (- 1 a)) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (- 3 a) (+ a 1))))) (* (+ (* (* (+ 1 (pow a 3)) (* (- 9 (* a a)) (* b b))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (- 27 (pow a 3)) (* a a)) (* (+ (* a a) (- 1 a)) (- 1 (pow (* a a) 3))))) (* (* (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) 4) (* (+ (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))) (* (+ (* a a) (- 1 a)) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a)))))) (* (+ (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (* (- 3 a) (+ a 1))))) (* (+ (* (* (+ 1 (pow a 3)) (* (- 9 (* a a)) (* b b))) (* (+ (* a (+ a 3)) 9) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (* (* (- 27 (pow a 3)) (* a a)) (* (+ (* a a) (- 1 a)) (- 1 (pow (* a a) 3))))) (* (* (- (+ (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) 4) (* (+ (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 1952 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (219 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (* a (* (* 2 b) (* b a))))) (+ (* (* (* (+ (* a a) -1) (* b b)) (- 9 (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))) (* (* (* a a) (- 27 (pow a 3))) (* (+ -1 a) (- 1 (* (pow a 3) (pow a 3))))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ 3 a))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* a (* (* 2 b) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* 2 b) (* b a))))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* 2 b) (* b a)) (* (* 2 b) (* b a))) (* (* (* a a) (* a a)) (* b (* 2 b))))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ 9 (* a (+ 3 a))) (+ -1 a)))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (* a (* (* 2 b) (* b a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (* a (* (* 2 b) (* b a))))) (+ (* (* (* (+ (* a a) -1) (* b b)) (- 9 (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))) (* (* (* a a) (- 27 (pow a 3))) (* (+ -1 a) (- 1 (* (pow a 3) (pow a 3))))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ 3 a))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* a (* (* 2 b) (* b a))) (+ (pow b 4) (pow a 4))) (* a (* (* 2 b) (* b a))))))) (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* 2 b) (* b a)) (* (* 2 b) (* b a))) (* (* (* a a) (* a a)) (* b (* 2 b))))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ 9 (* a (+ 3 a))) (+ -1 a)))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (* a (* (* 2 b) (* b a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1953 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (225 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (+ a -1))) (* (+ (pow (* (* (* 2 b) (* b a)) a) 3) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ 1 (pow a 3)) (- 9 (* a a))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a))) (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))) (* (* (+ a -1) (* (* a a) (- 27 (pow a 3)))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 3 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* 2 b) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (* (* 2 b) (* b a)) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (+ a -1))) (* (+ (pow (* (* (* 2 b) (* b a)) a) 3) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ 1 (pow a 3)) (- 9 (* a a))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a)) (- (- (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a))) (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))) (* (* (+ a -1) (* (* a a) (- 27 (pow a 3)))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 3 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* 2 b) (* b a)) a) (+ (pow b 4) (pow a 4))) (* (* (* 2 b) (* b a)) a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1954 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a))))) (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a))))) (* (* (+ -1 a) (- 1 (* (pow a 3) (pow a 3)))) (* (* a a) (- 27 (pow a 3)))))) (* (* 4 (* (+ 9 (* a (+ 3 a))) (+ -1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (- (* a (* (* 2 b) (* b a))) (+ (pow b 4) (pow a 4))))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a))))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 9 (* a (+ 3 a))) (+ -1 a)))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* a (* (* 2 b) (* b a))) 3)) (* (- (* a a) 1) (- 27 (pow a 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a))))) (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a))))) (* (* (+ -1 a) (- 1 (* (pow a 3) (pow a 3)))) (* (* a a) (- 27 (pow a 3)))))) (* (* 4 (* (+ 9 (* a (+ 3 a))) (+ -1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (- (* a (* (* 2 b) (* b a))) (+ (pow b 4) (pow a 4))))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a))))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 9 (* a (+ 3 a))) (+ -1 a)))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* a (* (* 2 b) (* b a))) 3)) (* (- (* a a) 1) (- 27 (pow a 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1955 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a a) (* b (* 2 b))) (* (* a a) (* b (* 2 b))))) (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))) (* (* (+ a -1) (- 1 (* (pow a 3) (pow a 3)))) (* (* a a) (- 27 (pow a 3)))))) (* (* 4 (* (+ 3 a) (+ a -1))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* a a) (* b (* 2 b))) (+ (pow b 4) (pow a 4))) (* (* a a) (* b (* 2 b))))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- (* a a) 1) (- 9 (* a a)))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ 9 (* a (+ 3 a))) (+ a -1))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a a) (* b (* 2 b))) (* (* a a) (* b (* 2 b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a a) (* b (* 2 b))) (* (* a a) (* b (* 2 b))))) (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))) (* (* (+ a -1) (- 1 (* (pow a 3) (pow a 3)))) (* (* a a) (- 27 (pow a 3)))))) (* (* 4 (* (+ 3 a) (+ a -1))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* a a) (* b (* 2 b))) (+ (pow b 4) (pow a 4))) (* (* a a) (* b (* 2 b))))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* a a) (* b b)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- (* a a) 1) (- 9 (* a a)))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ 9 (* a (+ 3 a))) (+ a -1))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a a) (* b (* 2 b))) (* (* a a) (* b (* 2 b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1956 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 27 (pow a 3)) (* a a)) (+ a -1))))) (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 9 (* a (+ a 3))) (+ a -1)))) (* (+ (* (* (* (* 2 b) (* b a)) (* (* 2 b) (* b a))) (* (* (* a a) (* a a)) (* (* 2 b) b))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ a 1) (- 27 (pow a 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ a 3))))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 27 (pow a 3)) (* a a)) (+ a -1))))) (* (* 4 (+ 9 (* a (+ a 3)))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (- (* (* (* a a) (* b b)) 2) (+ (pow b 4) (pow a 4))))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (* (+ 9 (* a (+ a 3))) (+ a -1)))) (* (+ (* (* (* (* 2 b) (* b a)) (* (* 2 b) (* b a))) (* (* (* a a) (* a a)) (* (* 2 b) b))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ a 1) (- 27 (pow a 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1957 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (213 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))) (+ (* (* (* (- 9 (* a a)) (- (* a a) 1)) (* b b)) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))) (* (+ a -1) (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a)))))) (* (* 4 (+ 3 a)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* 2 b)) b))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))) (* (* (+ a -1) (* (- 9 (* a a)) (+ a 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* 2 b)) b) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))) (+ (* (* (* (- 9 (* a a)) (- (* a a) 1)) (* b b)) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))) (* (+ a -1) (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a)))))) (* (* 4 (+ 3 a)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* 2 b)) b))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))) (* (* (+ a -1) (* (- 9 (* a a)) (+ a 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* 2 b)) b) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1958 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (218 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (+ (* (* (* (* b b) (- 9 (* a a))) (- (* a a) 1)) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))) (* (+ a -1) (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3))))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b)))))) (* (* (* (* (+ a -1) (+ 9 (* a (+ 3 a)))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* 2 b) (* b a)) (* (* 2 b) (* b a))) (* (* (* a a) (* a a)) (* b (* 2 b)))))) (* (* (- 3 a) (+ 1 (pow a 3))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (+ (* (* (* (* b b) (- 9 (* a a))) (- (* a a) 1)) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))) (* (+ a -1) (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3))))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b)))))) (* (* (* (* (+ a -1) (+ 9 (* a (+ 3 a)))) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* 2 b) (* b a)) (* (* 2 b) (* b a))) (* (* (* a a) (* a a)) (* b (* 2 b)))))) (* (* (- 3 a) (+ 1 (pow a 3))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1959 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (* (* (* (- (* a a) 1) b) (* b (- 9 (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a))))) (* (* (- a 1) (* (* a a) (- 27 (pow a 3)))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (- a 1)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b)))))) (* (* (+ (pow (* (* (* a a) 2) (* b b)) 3) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- (* a a) 1) (- 3 a))) (* (* (* (- a 1) (+ 9 (* a (+ 3 a)))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (* (* (* (- (* a a) 1) b) (* b (- 9 (* a a)))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a))))) (* (* (- a 1) (* (* a a) (- 27 (pow a 3)))) (- 1 (* (pow a 3) (pow a 3)))))) (* (* 4 (- a 1)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b)))))) (* (* (+ (pow (* (* (* a a) 2) (* b b)) 3) (pow (+ (pow b 4) (pow a 4)) 3)) (* (- (* a a) 1) (- 3 a))) (* (* (* (- a 1) (+ 9 (* a (+ 3 a)))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1960 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (205 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (- a 1) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* (* 2 b) b)) (* (* a a) (* (* 2 b) b))))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))) (* (+ (* (* (- (* a a) 1) (* (* b b) (- 9 (* a a)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))) (* (- a 1) (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a a) (* (* 2 b) b)) (* (* a a) (* (* 2 b) b))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (- a 1) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* (* 2 b) b)) (* (* a a) (* (* 2 b) b))))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))) (* (+ (* (* (- (* a a) 1) (* (* b b) (- 9 (* a a)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ a 3))))) (* (- a 1) (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))))) (* (* 4 (* (+ (- 1 a) (* a a)) (+ 9 (* a (+ a 3))))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a a) (* (* 2 b) b)) (* (* a a) (* (* 2 b) b))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1961 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (211 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))) (* (* (+ -1 a) (* (* a a) (- 27 (pow a 3)))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* 4 (* (+ 3 a) (+ (- 1 a) (* a a)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))))) (* (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b)))))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ 9 (* a (+ 3 a))) (+ -1 a))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))) (* (* (+ -1 a) (* (* a a) (- 27 (pow a 3)))) (- 1 (* (pow a 3) (pow a 3))))) (* (* (* 4 (* (+ 3 a) (+ (- 1 a) (* a a)))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b))))))) (* (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b)))))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ 9 (* a (+ 3 a))) (+ -1 a))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (* 2 (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1962 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* 4 (* (+ 9 (* a (+ 3 a))) (+ -1 a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))) (* (* (* a a) (- 27 (pow a 3))) (* (+ -1 a) (- 1 (* (pow a 3) (pow a 3))))))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (* (* (+ -1 a) (* (- (* a a) 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* 4 (* (+ 9 (* a (+ 3 a))) (+ -1 a))) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))) (* (* (* a a) (- 27 (pow a 3))) (* (+ -1 a) (- 1 (* (pow a 3) (pow a 3))))))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (* (* (+ -1 a) (* (- (* a a) 1) (- 27 (pow a 3)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1963 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (201 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- 9 (* a a)) (- (* a a) 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (* (* (+ a -1) (+ 9 (* a (+ 3 a)))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (* (- (* a a) 1) (* (- 9 (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a))))) (* (+ a -1) (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))))) (* (* (* 4 (* (+ a -1) (+ 3 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- 9 (* a a)) (- (* a a) 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (* (* (+ a -1) (+ 9 (* a (+ 3 a)))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (* (- (* a a) 1) (* (- 9 (* a a)) (* b b))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a))))) (* (+ a -1) (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))))) (* (* (* 4 (* (+ a -1) (+ 3 a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1964 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* (* 2 b) b)) (* (* a a) (* (* 2 b) b)))) (* (- 27 (pow a 3)) (+ a 1))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ 9 (* a (+ 3 a))) (+ a -1))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a a) (* (* 2 b) b)) (* (* a a) (* (* 2 b) b)))))) (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))) (* (+ a -1) (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))))) (* (* (* 4 (+ 9 (* a (+ 3 a)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a a) (* (* 2 b) b)) (* (* a a) (* (* 2 b) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* (* 2 b) b)) (* (* a a) (* (* 2 b) b)))) (* (- 27 (pow a 3)) (+ a 1))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ 9 (* a (+ 3 a))) (+ a -1))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a a) (* (* 2 b) b)) (* (* a a) (* (* 2 b) b)))))) (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))) (* (+ a -1) (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))))) (* (* (* 4 (+ 9 (* a (+ 3 a)))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* a a) (* (* 2 b) b)) (* (* a a) (* (* 2 b) b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1965 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (* (- 9 (* a a)) (+ a 1))) (* (* (+ 9 (* a (+ 3 a))) (* (+ a -1) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))))) (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a))))) (* (+ a -1) (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))))) (* (* (* 4 (+ 3 a)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (* (- 9 (* a a)) (+ a 1))) (* (* (+ 9 (* a (+ 3 a))) (* (+ a -1) (+ (* (* a a) (* a a)) (+ (* a a) 1)))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))))) (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a))))) (* (+ a -1) (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))))) (* (* (* 4 (+ 3 a)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (* (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1966 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 27 (pow a 3)) (* a a)) (- a 1)))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* b (* 2 b)) (* a a)) (* (* b (* 2 b)) (* a a)))))) (* (* (* (+ 9 (* a (+ 3 a))) (* (- a 1) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b (* 2 b)) (* a a)) (* (* b (* 2 b)) (* a a))))) (* (* (+ 1 (pow a 3)) (- 3 a)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* b (* 2 b)) (* a a)) (* (* b (* 2 b)) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (- 27 (pow a 3)) (* a a)) (- a 1)))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* a a) (* b b))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* b (* 2 b)) (* a a)) (* (* b (* 2 b)) (* a a)))))) (* (* (* (+ 9 (* a (+ 3 a))) (* (- a 1) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b (* 2 b)) (* a a)) (* (* b (* 2 b)) (* a a))))) (* (* (+ 1 (pow a 3)) (- 3 a)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* b (* 2 b)) (* a a)) (* (* b (* 2 b)) (* a a))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1967 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (188 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* (+ 3 a) a)))) (* (+ -1 a) (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))))) (* (* (* 4 (+ -1 a)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))) (* (- (* a a) 1) (- 3 a))) (* (* (* (+ -1 a) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (+ 9 (* (+ 3 a) a))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* (+ 3 a) a)))) (* (+ -1 a) (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))))) (* (* (* 4 (+ -1 a)) (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))) (* (- (* a a) 1) (- 3 a))) (* (* (* (+ -1 a) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (+ 9 (* (+ 3 a) a))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1968 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))) (+ (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))) (* (* (+ -1 a) (* (- 27 (pow a 3)) (+ 1 (pow a 3)))) (+ (* (* a a) (* (* 2 b) b)) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (* (+ (* a a) -1) (* b b)) (- 9 (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))) (* (* (+ -1 a) (- 27 (pow a 3))) (* (- 1 (* (pow a 3) (pow a 3))) (* a a)))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ 9 (* a (+ 3 a)))) (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))) (+ (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))) (+ (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b)))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))) (* (* (+ -1 a) (* (- 27 (pow a 3)) (+ 1 (pow a 3)))) (+ (* (* a a) (* (* 2 b) b)) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (* (+ (* a a) -1) (* b b)) (- 9 (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))) (* (* (+ -1 a) (- 27 (pow a 3))) (* (- 1 (* (pow a 3) (pow a 3))) (* a a)))) (* (* (* 4 (+ (- 1 a) (* a a))) (+ 9 (* a (+ 3 a)))) (* (- (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))) (+ (- (pow b 4) (pow a 4)) (* (* a a) (* (* 2 b) b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1969 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a))))) (* (+ -1 a) (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))))) (* (* (* 4 (+ 3 a)) (+ (- 1 a) (* a a))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))))) (* (* (* (* (+ -1 a) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ 9 (* a (+ 3 a)))) (+ (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4)))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a))))) (* (+ -1 a) (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))))) (* (* (* 4 (+ 3 a)) (+ (- 1 a) (* a a))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))))) (* (* (* (* (+ -1 a) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ 9 (* a (+ 3 a)))) (+ (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4)))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1970 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))) (* (+ a -1) (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))))) (* (* (* 4 (+ a -1)) (+ 9 (* a (+ 3 a)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (* (+ a -1) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (+ 9 (* a (+ 3 a))))) (* (* (- (* a a) 1) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))) (* (+ a -1) (* (- 1 (* (pow a 3) (pow a 3))) (* (- 27 (pow a 3)) (* a a))))) (* (* (* 4 (+ a -1)) (+ 9 (* a (+ 3 a)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (* (+ a -1) (+ (+ (* a a) 1) (* (* a a) (* a a)))) (+ 9 (* a (+ 3 a))))) (* (* (- (* a a) 1) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1971 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (* (- a 1) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (* a (* (* 2 b) (* b a))))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))) (* (- (* a a) 1) (- 9 (* a a))))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (+ a -1))) (* (+ (* (* (* (- 9 (* a a)) (* b b)) (- (* a a) 1)) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))) (* (+ a -1) (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))))) (* (* (* (+ 3 a) (+ a -1)) 4) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (* a (* (* 2 b) (* b a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (* a (* (* 2 b) (* b a))))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))) (* (- (* a a) 1) (- 9 (* a a))))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a)))) (+ a -1))) (* (+ (* (* (* (- 9 (* a a)) (* b b)) (- (* a a) 1)) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))) (* (+ a -1) (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))))) (* (* (* (+ 3 a) (+ a -1)) 4) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (* a (* (* 2 b) (* b a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1972 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))) (* (* (+ -1 a) (- 1 (* (pow a 3) (pow a 3)))) (* (* a a) (- 27 (pow a 3))))) (* (+ 36 (* (* a (+ 3 a)) 4)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ 9 (* a (+ 3 a))) (+ -1 a))) (* (* (* (- 27 (pow a 3)) (+ a 1)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* a (+ 3 a))))) (* (* (+ -1 a) (- 1 (* (pow a 3) (pow a 3)))) (* (* a a) (- 27 (pow a 3))))) (* (+ 36 (* (* a (+ 3 a)) 4)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))) (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (* (+ 9 (* a (+ 3 a))) (+ -1 a))) (* (* (* (- 27 (pow a 3)) (+ a 1)) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1973 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (+ 3 a)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a)))) (* (* (* (+ -1 a) (* (+ a 1) (- 9 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 b) b) (* a a)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* 2 b) b) (* a a)) (* (* (* 2 b) b) (* a a)))))) (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a))))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (* a a) (- 27 (pow a 3))) (+ -1 a)))) (* (+ (* a 4) 12) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* 2 b) b) (* a a)) (* (* (* 2 b) b) (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a)))) (* (* (* (+ -1 a) (* (+ a 1) (- 9 (* a a)))) (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 b) b) (* a a)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* 2 b) b) (* a a)) (* (* (* 2 b) b) (* a a)))))) (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a))))) (* (- 1 (* (pow a 3) (pow a 3))) (* (* (* a a) (- 27 (pow a 3))) (+ -1 a)))) (* (+ (* a 4) 12) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* 2 b) b) (* a a)) (* (* (* 2 b) b) (* a a))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (+ 3 a))))) 1)) * * * * [misc]progress: [ 1974 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (188 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a)))) (* (* (* (+ a -1) (* (+ 1 (pow a 3)) (- 3 a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a))))) (* (+ a -1) (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))))) (* (* 4 (+ (- 1 a) (* a a))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a)))) (* (* (* (+ a -1) (* (+ 1 (pow a 3)) (- 3 a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2))))) (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a))))) (* (+ a -1) (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3)))))) (* (* 4 (+ (- 1 a) (* a a))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* b b)) 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 1975 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (- a 1)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* (+ 3 a) a))) (* (* (* (+ a -1) (* (- 3 a) (- (* a a) 1))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (* (* (* b b) (- 9 (* a a))) (- (* a a) 1)) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* (+ 3 a) a)))) (* (* (+ a -1) (* (* a a) (- 27 (pow a 3)))) (- 1 (* (pow a 3) (pow a 3))))) (* (+ (* 4 a) -4) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* (+ 3 a) a))) (* (* (* (+ a -1) (* (- 3 a) (- (* a a) 1))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (* (* (* b b) (- 9 (* a a))) (- (* a a) 1)) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* (+ 3 a) a)))) (* (* (+ a -1) (* (* a a) (- 27 (pow a 3)))) (- 1 (* (pow a 3) (pow a 3))))) (* (+ (* 4 a) -4) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (- a 1))))) 1)) * * * * [misc]progress: [ 1976 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a))))) (* (+ a -1) (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3))))))) (* (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))))) (* (* (* (* (+ a -1) (+ 9 (* a (+ 3 a)))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* a a) (* b b))) 3))) (* (* (+ a 1) (- 3 a)) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* 4 (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (* (* a a) (* a a)) (+ (* a a) 1)) (+ 9 (* a (+ 3 a))))) (* (+ a -1) (* (- 1 (* (pow a 3) (pow a 3))) (* (* a a) (- 27 (pow a 3))))))) (* (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* a a) (* b b))) (- (* 2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))))) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b))))))) (* (* (* (* (+ a -1) (+ 9 (* a (+ 3 a)))) (+ (* (* a a) (* a a)) (+ (* a a) 1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* a a) (* b b))) 3))) (* (* (+ a 1) (- 3 a)) (* (- (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))) (+ (- (pow b 4) (pow a 4)) (* 2 (* (* a a) (* b b)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 1977 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (pow 1 3) (pow (* a a) 3))) (- a 1)) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (* (* (- (* a a) (* 1 1)) (* b b)) (- 9 (* a a))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* (+ 3 a) a)))) (* (* (* a a) (- 27 (pow a 3))) (* (+ a -1) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) 4) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (- 3 a) (+ a 1))) (* (* (+ 9 (* (+ 3 a) a)) (* (+ a -1) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (- (* a a) 1) (* b b)) (- 9 (* a a))) (* (+ (+ (* a a) 1) (* (* a a) (* a a))) (+ 9 (* (+ 3 a) a)))) (* (* (* a a) (- 27 (pow a 3))) (* (+ a -1) (- 1 (* (pow a 3) (pow a 3)))))) (* (* (+ (* -2 (* (* a a) (* b b))) (+ (pow b 4) (pow a 4))) 4) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2))) (* (- 3 a) (+ a 1))) (* (* (+ 9 (* (+ 3 a) a)) (* (+ a -1) (+ (+ (* a a) 1) (* (* a a) (* a a))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* b b)) 2) (* (* (* a a) (* b b)) 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ (* 1 1) (+ (* (* a a) (* a a)) (* 1 (* a a))))) (- a 1)) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 1978 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (230 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a)))) (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a))))) (+ (* (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ (+ 81 (pow a 4)) (* (* a 9) a))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3))))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ 3 a))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* 2 b) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (* 2 b) (* b (* a a))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a)))) (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a))))) (* (+ (* a (+ 3 a)) 9) (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (+ 81 (pow a 4)) (* (* a 9) a))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a)))) (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a))))) (+ (* (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ (+ 81 (pow a 4)) (* (* a 9) a))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3))))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ 3 a))))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* 2 b) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (* 2 b) (* b (* a a))))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a)))) (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a))))) (* (+ (* a (+ 3 a)) 9) (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (+ 81 (pow a 4)) (* (* a 9) a))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1979 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* a (+ 3 a)) 9) (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (* (* a 9) a) (+ (pow a 4) 81)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (* (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ (* (* a 9) a) (+ (pow a 4) 81))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3))))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 3 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* a (+ 3 a)) 9) (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (* (* a 9) a) (+ (pow a 4) 81)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))) (+ (* (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ (* (* a 9) a) (+ (pow a 4) 81))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3))))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 3 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1980 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (237 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (* (+ 1 (* a a)) (+ (* (+ 3 a) a) 9))) (* (* (* (+ (+ (pow a 4) 81) (* a (* a 9))) (+ (* a a) (- 1 a))) (* (+ (* a a) -1) (- 27 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (+ (* (+ (+ (pow a 4) 81) (* a (* a 9))) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))))) (* (* (+ 1 (* a a)) (+ (* (+ 3 a) a) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3))))))) (* (* 4 (* (+ (* (+ 3 a) a) 9) (+ -1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (* (+ 1 (* a a)) (+ (* (+ 3 a) a) 9))) (* (* (* (+ (+ (pow a 4) 81) (* a (* a 9))) (+ (* a a) (- 1 a))) (* (+ (* a a) -1) (- 27 (pow a 3)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (+ (* (+ (+ (pow a 4) 81) (* a (* a 9))) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))))) (* (* (+ 1 (* a a)) (+ (* (+ 3 a) a) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3))))))) (* (* 4 (* (+ (* (+ 3 a) a) 9) (+ -1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1981 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (242 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (+ (* (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ (+ (pow a 4) 81) (* (* a 9) a))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3))))))) (* (* 4 (* (+ -1 a) (+ 3 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (* (+ (* a (+ 3 a)) 9) (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (+ (pow a 4) 81) (* (* a 9) a))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (- 9 (* a a)) (+ (* a a) -1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (+ (* (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ (+ (pow a 4) 81) (* (* a 9) a))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3))))))) (* (* 4 (* (+ -1 a) (+ 3 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (- (* a (* (* b b) (* 2 a))) (+ (pow b 4) (pow a 4))))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (* (+ (* a (+ 3 a)) 9) (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (+ (pow a 4) 81) (* (* a 9) a))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (- 9 (* a a)) (+ (* a a) -1))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1982 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (228 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (+ (* (* (- 1 (pow a 4)) (* (* a a) (- 27 (pow a 3)))) (* (+ (+ 81 (pow a 4)) (* (* a 9) a)) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3))))))) (* (* 4 (+ (* a (+ 3 a)) 9)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* 2 b)) b))))) (* (* (* (+ a 1) (- 27 (pow a 3))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (+ 81 (pow a 4)) (* (* a 9) a))) (+ (* a (+ 3 a)) 9)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (+ (* (* (- 1 (pow a 4)) (* (* a a) (- 27 (pow a 3)))) (* (+ (+ 81 (pow a 4)) (* (* a 9) a)) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3))))))) (* (* 4 (+ (* a (+ 3 a)) 9)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* 2 b)) b))))) (* (* (* (+ a 1) (- 27 (pow a 3))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (+ 81 (pow a 4)) (* (* a 9) a))) (+ (* a (+ 3 a)) 9)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1983 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (234 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (* (+ (+ 81 (pow a 4)) (* (* a 9) a)) (* (+ (* a (+ 3 a)) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* 2 b)) b) 3)) (* (- 9 (* a a)) (+ a 1)))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (+ (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ (+ 81 (pow a 4)) (* (* a 9) a)))) (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3))))))) (* (* 4 (+ 3 a)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (- (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (* (+ (+ 81 (pow a 4)) (* (* a 9) a)) (* (+ (* a (+ 3 a)) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) (* 2 b)) b) 3)) (* (- 9 (* a a)) (+ a 1)))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (+ (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ (+ 81 (pow a 4)) (* (* a 9) a)))) (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3))))))) (* (* 4 (+ 3 a)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (- (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1984 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a)))) (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a))))) (+ (* (* (* a a) (* (- 27 (pow a 3)) (- 1 (pow a 4)))) (* (+ (+ 81 (pow a 4)) (* (* a 9) a)) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3))))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* 2 b) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (* 2 b) (* b (* a a))))))) (* (* (* (+ 1 (pow a 3)) (- 3 a)) (+ (* 8 (pow (* (* b b) (* a a)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (+ 81 (pow a 4)) (* (* a 9) a))) (+ (* a (+ 3 a)) 9)) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a)))) (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a)))) (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a))))) (+ (* (* (* a a) (* (- 27 (pow a 3)) (- 1 (pow a 4)))) (* (+ (+ 81 (pow a 4)) (* (* a 9) a)) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3))))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* 2 b) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (* 2 b) (* b (* a a))))))) (* (* (* (+ 1 (pow a 3)) (- 3 a)) (+ (* 8 (pow (* (* b b) (* a a)) 3)) (pow (+ (pow b 4) (pow a 4)) 3))) (* (* (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (+ 81 (pow a 4)) (* (* a 9) a))) (+ (* a (+ 3 a)) 9)) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a)))) (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1985 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (230 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2))) (+ (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a)))) (+ (+ (pow a 4) 81) (* (* a 9) a))) (* (* (+ 1 (* a a)) (+ (* (+ 3 a) a) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3))))))) (* (* 4 (+ a -1)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (- (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4))))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2))) (* (+ (* (+ 3 a) a) 9) (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (+ (pow a 4) 81) (* (* a 9) a))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a a)) 2) 3)) (* (- 3 a) (+ (* a a) -1))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2))) (+ (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a)))) (+ (+ (pow a 4) 81) (* (* a 9) a))) (* (* (+ 1 (* a a)) (+ (* (+ 3 a) a) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3))))))) (* (* 4 (+ a -1)) (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (- (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4))))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2))) (* (+ (* (+ 3 a) a) 9) (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (+ (pow a 4) 81) (* (* a 9) a))))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* b b) (* a a)) 2) 3)) (* (- 3 a) (+ (* a a) -1))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1986 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (216 enodes) * [exit]simplify: Simplified to (* (+ (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (+ (* a (+ 3 a)) 9) (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (* (* a 9) a) (+ (pow a 4) 81)))))) (* (* (* (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (* (+ (* a (+ 3 a)) 9) (+ (* a a) (- 1 a)))) 4) (+ (* (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ (* (* a 9) a) (+ (pow a 4) 81))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3)))))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (+ (* a (+ 3 a)) 9) (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (* (* a 9) a) (+ (pow a 4) 81)))))) (* (* (* (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4))) (* (+ (* a (+ 3 a)) 9) (+ (* a a) (- 1 a)))) 4) (+ (* (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ (* (* a 9) a) (+ (pow a 4) 81))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3)))))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1987 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* (* a 9) a) (+ (pow a 4) 81)) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))))) (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (* (+ 3 a) (+ (* a a) (- 1 a)))) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2))))) (* (* (* (* (+ (* a (+ 3 a)) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))) (+ (* (* a 9) a) (+ (pow a 4) 81))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2)))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* (* a 9) a) (+ (pow a 4) 81)) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))))) (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (* (+ 3 a) (+ (* a a) (- 1 a)))) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2))))) (* (* (* (* (+ (* a (+ 3 a)) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))) (+ (* (* a 9) a) (+ (pow a 4) 81))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2)))) (* (* (- 9 (* a a)) (+ 1 (pow a 3))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1988 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (223 enodes) * [exit]simplify: Simplified to (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* 2 b) (* b a)) a) (* (* (* 2 b) (* b a)) a))) (+ (* (* (* 4 (* (+ (* (+ 3 a) a) 9) (+ -1 a))) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (+ (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ (+ 81 (pow a 4)) (* (* a 9) a)))) (* (* (+ 1 (* a a)) (+ (* (+ 3 a) a) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3))))))) (* (* (+ (* a a) -1) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* 2 b) (* b a)) a) (* (* (* 2 b) (* b a)) a)))) (* (- 27 (pow a 3)) (* (+ (+ 81 (pow a 4)) (* (* a 9) a)) (* (+ (* (+ 3 a) a) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* 2 b) (* b a)) a) (* (* (* 2 b) (* b a)) a))) (+ (* (* (* 4 (* (+ (* (+ 3 a) a) 9) (+ -1 a))) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (+ (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ (+ 81 (pow a 4)) (* (* a 9) a)))) (* (* (+ 1 (* a a)) (+ (* (+ 3 a) a) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3))))))) (* (* (+ (* a a) -1) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* 2 b) (* b a)) a) (* (* (* 2 b) (* b a)) a)))) (* (- 27 (pow a 3)) (* (+ (+ 81 (pow a 4)) (* (* a 9) a)) (* (+ (* (+ 3 a) a) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a))))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 1989 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a)))) (+ (+ (pow a 4) 81) (* (* a 9) a))) (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (* (+ 3 a) (+ a -1))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (* (* (+ (* a (+ 3 a)) 9) (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (+ (pow a 4) 81) (* (* a 9) a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (* (+ (* a a) -1) (- 9 (* a a))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a)))) (+ (+ (pow a 4) 81) (* (* a 9) a))) (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (* (+ 3 a) (+ a -1))) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (* (* (+ (* a (+ 3 a)) 9) (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (+ (pow a 4) 81) (* (* a 9) a)))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))) (* (* (+ (* a a) -1) (- 9 (* a a))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 1990 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9))) (* (* (* (+ (+ 81 (pow a 4)) (* a (* a 9))) (+ (* a a) (- 1 a))) (* (- 27 (pow a 3)) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))))) (* (+ (* (* (* (- 1 (pow a 4)) (- 27 (pow a 3))) (* a a)) (* (+ (+ 81 (pow a 4)) (* a (* a 9))) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ (* a (+ 3 a)) 9)) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9))) (* (* (* (+ (+ 81 (pow a 4)) (* a (* a 9))) (+ (* a a) (- 1 a))) (* (- 27 (pow a 3)) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))))) (* (+ (* (* (* (- 1 (pow a 4)) (- 27 (pow a 3))) (* a a)) (* (+ (+ 81 (pow a 4)) (* a (* a 9))) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ (* a (+ 3 a)) 9)) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1991 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (220 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ (+ 81 (pow a 4)) (* (* a 9) a)))) (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ 3 a)) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* 2 b) (* b a)) a) (* (* (* 2 b) (* b a)) a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* 2 b) (* b a)) a) (* (* (* 2 b) (* b a)) a))) (* (+ (+ 81 (pow a 4)) (* (* a 9) a)) (* (+ (* a (+ 3 a)) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))))) (* (* (- 9 (* a a)) (+ a 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* 2 b) (* b a)) a) (* (* (* 2 b) (* b a)) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ (+ 81 (pow a 4)) (* (* a 9) a)))) (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ 3 a)) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* 2 b) (* b a)) a) (* (* (* 2 b) (* b a)) a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* 2 b) (* b a)) a) (* (* (* 2 b) (* b a)) a))) (* (+ (+ 81 (pow a 4)) (* (* a 9) a)) (* (+ (* a (+ 3 a)) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))))) (* (* (- 9 (* a a)) (+ a 1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* 2 b) (* b a)) a) (* (* (* 2 b) (* b a)) a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1992 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a))))) (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9))) (* (* (* (+ (+ 81 (pow a 4)) (* a (* a 9))) (+ (* a a) (- 1 a))) (* (+ 1 (pow a 3)) (- 3 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a))))))) (* (+ (* (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a))))) (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9))) (* (* (* (+ (+ 81 (pow a 4)) (* a (* a 9))) (+ (* a a) (- 1 a))) (* (+ 1 (pow a 3)) (- 3 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a))))))) (* (+ (* (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 1993 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) (* (* (+ (* a (+ 3 a)) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))) (+ (+ 81 (pow a 4)) (* a (* a 9))))) (* (* (- 3 a) (+ (* a a) -1)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))))) (* (+ (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a)))) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ a -1)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) (* (* (+ (* a (+ 3 a)) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))) (+ (+ 81 (pow a 4)) (* a (* a 9))))) (* (* (- 3 a) (+ (* a a) -1)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))))) (* (+ (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a)))) (+ (+ 81 (pow a 4)) (* a (* a 9)))) (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ a -1)) (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 1994 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* a a) (- 1 (pow a 4))) (- 27 (pow a 3))) (* (+ (* a (* a 9)) (+ (pow a 4) 81)) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* a (+ 3 a)) 9)) (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))))) (* (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (+ (* a (* a 9)) (+ (pow a 4) 81)) (+ (* a a) (- 1 a)))) (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* a a) (- 1 (pow a 4))) (- 27 (pow a 3))) (* (+ (* a (* a 9)) (+ (pow a 4) 81)) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* a (+ 3 a)) 9)) (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))))) (* (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (+ (* a (* a 9)) (+ (pow a 4) 81)) (+ (* a a) (- 1 a)))) (* (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (* (- (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (+ (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1995 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* a a) (* (- 27 (pow a 3)) (- 1 (pow a 4)))) (* (+ (+ (pow a 4) 81) (* a (* a 9))) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ 3 a)) (+ (* a a) (- 1 a))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (* a (* (* 2 b) (* b a))))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (* a (* (* 2 b) (* b a))))) (* (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (+ (pow a 4) 81) (* a (* a 9)))) (+ (* a (+ 3 a)) 9))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (+ (* a (* (* 2 b) (* b a))) (+ (pow b 4) (pow a 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* a a) (* (- 27 (pow a 3)) (- 1 (pow a 4)))) (* (+ (+ (pow a 4) 81) (* a (* a 9))) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ 3 a)) (+ (* a a) (- 1 a))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (* a (* (* 2 b) (* b a))))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (* a (* (* 2 b) (* b a))))) (* (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (+ (pow a 4) 81) (* a (* a 9)))) (+ (* a (+ 3 a)) 9))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (+ (* a (* (* 2 b) (* b a))) (+ (pow b 4) (pow a 4)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1996 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 (pow a 4)) (* (* a a) (- 27 (pow a 3)))) (* (+ (+ 81 (pow a 4)) (* (* 9 a) a)) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* (+ 3 a) a) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ -1 a)) (+ (* (+ 3 a) a) 9)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2))))) (* (* (* (- 27 (pow a 3)) (+ (* a a) -1)) (+ (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4)))) (* (* (* (+ (* (+ 3 a) a) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))) (+ (+ 81 (pow a 4)) (* (* 9 a) a))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 1 (pow a 4)) (* (* a a) (- 27 (pow a 3)))) (* (+ (+ 81 (pow a 4)) (* (* 9 a) a)) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* (+ 3 a) a) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* 4 (+ -1 a)) (+ (* (+ 3 a) a) 9)) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2))))) (* (* (* (- 27 (pow a 3)) (+ (* a a) -1)) (+ (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4)))) (* (* (* (+ (* (+ 3 a) a) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))) (+ (+ 81 (pow a 4)) (* (* 9 a) a))) (* (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)) (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 1997 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- a 1) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2))) (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9))) (* (* (* (+ (+ 81 (pow a 4)) (* a (* a 9))) (+ (* a a) (- 1 a))) (* (- 9 (* a a)) (+ (* a a) -1))) (+ (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (* (- 1 (pow a 4)) (- 27 (pow a 3))) (* a a)) (* (+ (+ 81 (pow a 4)) (* a (* a 9))) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* (+ 3 a) (+ a -1)) 4) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2))) (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9))) (* (* (* (+ (+ 81 (pow a 4)) (* a (* a 9))) (+ (* a a) (- 1 a))) (* (- 9 (* a a)) (+ (* a a) -1))) (+ (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (* (- 1 (pow a 4)) (- 27 (pow a 3))) (* a a)) (* (+ (+ 81 (pow a 4)) (* a (* a 9))) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (* (+ 3 a) (+ a -1)) 4) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 1998 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (+ 81 (pow a 4)) (* a (* a 9))) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))))) (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3)))))) (* (+ 36 (* 4 (* a (+ 3 a)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9))) (* (* (+ (+ 81 (pow a 4)) (* a (* a 9))) (+ (* a a) (- 1 a))) (* (* (+ a 1) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (+ 81 (pow a 4)) (* a (* a 9))) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))))) (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3)))))) (* (+ 36 (* 4 (* a (+ 3 a)))) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9))) (* (* (+ (+ 81 (pow a 4)) (* a (* a 9))) (+ (* a a) (- 1 a))) (* (* (+ a 1) (- 27 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 1999 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ 3 a)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (204 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 1 (pow a 4)) (* (* a a) (- 27 (pow a 3)))) (* (+ (+ (pow a 4) 81) (* a (* a 9))) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3)))))) (* (+ 12 (* a 4)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 b) (* b (* a a))) (* (* 2 b) (* b (* a a))))))) (* (* (+ (* (* 2 b) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (+ a 1) (- 9 (* a a)))) (* (* (+ (+ (pow a 4) 81) (* a (* a 9))) (* (+ (* a (+ 3 a)) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 b) (* b (* a a))) (* (* 2 b) (* b (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 1 (pow a 4)) (* (* a a) (- 27 (pow a 3)))) (* (+ (+ (pow a 4) 81) (* a (* a 9))) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3)))))) (* (+ 12 (* a 4)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 b) (* b (* a a))) (* (* 2 b) (* b (* a a))))))) (* (* (+ (* (* 2 b) (* b (* a a))) (+ (pow b 4) (pow a 4))) (* (+ a 1) (- 9 (* a a)))) (* (* (+ (+ (pow a 4) 81) (* a (* a 9))) (* (+ (* a (+ 3 a)) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 b) (* b (* a a))) (* (* 2 b) (* b (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 2000 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (- 27 (pow a 3)) (* (* a a) (- 1 (pow a 4)))) (* (+ (+ 81 (pow a 4)) (* a (* a 9))) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (+ (* a a) (- 1 a)) 4) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9))) (* (* (+ (+ 81 (pow a 4)) (* a (* a 9))) (+ (* a a) (- 1 a))) (* (* (- 3 a) (+ 1 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (- 27 (pow a 3)) (* (* a a) (- 1 (pow a 4)))) (* (+ (+ 81 (pow a 4)) (* a (* a 9))) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (+ (* a a) (- 1 a)) 4) (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9))) (* (* (+ (+ 81 (pow a 4)) (* a (* a 9))) (+ (* a a) (- 1 a))) (* (* (- 3 a) (+ 1 (pow a 3))) (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 2001 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- a 1)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (62 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a)))) (+ (* a (* a 9)) (+ (pow a 4) 81))) (* (* (+ 1 (* a a)) (+ (* (+ 3 a) a) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3)))))) (* (+ (* 4 a) -4) (* (- (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a))))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a))))) (* (+ (* a (* (* 2 b) (* b a))) (+ (pow b 4) (pow a 4))) (* (+ (* a a) -1) (- 3 a)))) (* (+ (* (+ 3 a) a) 9) (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (* a (* a 9)) (+ (pow a 4) 81)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a)))) (+ (* a (* a 9)) (+ (pow a 4) 81))) (* (* (+ 1 (* a a)) (+ (* (+ 3 a) a) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3)))))) (* (+ (* 4 a) -4) (* (- (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a))))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))) (+ (- (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a))))) (* (+ (* a (* (* 2 b) (* b a))) (+ (pow b 4) (pow a 4))) (* (+ (* a a) -1) (- 3 a)))) (* (+ (* (+ 3 a) a) 9) (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (* a (* a 9)) (+ (pow a 4) 81)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (- a 1))))) 1)) * * * * [misc]progress: [ 2002 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2))) (+ (* (* (* (* a a) (- 1 (pow a 4))) (- 27 (pow a 3))) (* (+ (* (* a 9) a) (+ (pow a 4) 81)) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3))))))) (* 4 (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* a a)) 2))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ a 1) (- 3 a))) (* (* (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (* (* a 9) a) (+ (pow a 4) 81))) (+ (* a (+ 3 a)) 9)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2))) (+ (* (* (* (* a a) (- 1 (pow a 4))) (- 27 (pow a 3))) (* (+ (* (* a 9) a) (+ (pow a 4) 81)) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3))))))) (* 4 (+ (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (- (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4))) (* (* (* b b) (* a a)) 2))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ a 1) (- 3 a))) (* (* (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ (* (* a 9) a) (+ (pow a 4) 81))) (+ (* a (+ 3 a)) 9)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 2003 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 b) (* b (* a a))) (* (* 2 b) (* b (* a a))))) (* (+ 1 (* a a)) (+ (* (+ 3 a) a) 9))) (* (* (* (+ (+ 81 (pow a 4)) (* a (* a 9))) (+ (* a a) (- 1 a))) (* (- 3 a) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* 2 b) (* b (* a a))) (* (* 2 b) (* b (* a a))))))) (* (+ (* (* (- 27 (pow a 3)) (* (* a a) (- 1 (pow a 4)))) (* (+ (+ 81 (pow a 4)) (* a (* a 9))) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* (+ 3 a) a) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) 4) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 b) (* b (* a a))) (* (* 2 b) (* b (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 b) (* b (* a a))) (* (* 2 b) (* b (* a a))))) (* (+ 1 (* a a)) (+ (* (+ 3 a) a) 9))) (* (* (* (+ (+ 81 (pow a 4)) (* a (* a 9))) (+ (* a a) (- 1 a))) (* (- 3 a) (+ a 1))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* 2 b) (* b (* a a))) (* (* 2 b) (* b (* a a))))))) (* (+ (* (* (- 27 (pow a 3)) (* (* a a) (- 1 (pow a 4)))) (* (+ (+ 81 (pow a 4)) (* a (* a 9))) (+ (* a a) (- 1 a)))) (* (* (+ 1 (* a a)) (+ (* (+ 3 a) a) 9)) (* (* (+ 1 (pow a 3)) (* b b)) (- 729 (* (pow a 3) (pow a 3)))))) (* (* (+ (+ (pow b 4) (pow a 4)) (* -2 (* (* b b) (* a a)))) 4) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 b) (* b (* a a))) (* (* 2 b) (* b (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 2004 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (* (* (* b b) (* (+ 1 (pow a 3)) (- 81 (pow a 4)))) (* (+ 1 (* a a)) (+ (* (+ 3 a) a) 9))) (* (+ 9 (* a a)) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* (+ 3 a) a)))) (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (+ (* (+ 3 a) a) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))) (+ 9 (* a a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (* (+ (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (* (* (* b b) (* (+ 1 (pow a 3)) (- 81 (pow a 4)))) (* (+ 1 (* a a)) (+ (* (+ 3 a) a) 9))) (* (+ 9 (* a a)) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* (+ 3 a) a)))) (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (* (+ (* (+ 3 a) a) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))) (+ 9 (* a a))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))) (* (* (+ 1 (pow a 3)) (- 27 (pow a 3))) (* (+ (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 2005 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (220 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* 2 b) (* b a)) a) 3)) (* (* (* (+ 1 (* a a)) (+ 9 (* a a))) (+ (* a a) (- 1 a))) (+ (* a (+ 3 a)) 9))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* 2 b) (* b a)) a) (* (* (* 2 b) (* b a)) a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* 2 b) (* b a)) a) (* (* (* 2 b) (* b a)) a))) (+ (* (* (* (- 81 (pow a 4)) (+ 1 (pow a 3))) (* b b)) (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (* a a) (- 27 (pow a 3)))) (- 1 (pow a 4))))) (* (* 4 (* (+ 3 a) (+ (* a a) (- 1 a)))) (+ (* (* (* (* 2 b) (* b a)) a) (- (* (* (* 2 b) (* b a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* 2 b) (* b a)) a) 3)) (* (* (* (+ 1 (* a a)) (+ 9 (* a a))) (+ (* a a) (- 1 a))) (+ (* a (+ 3 a)) 9))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* 2 b) (* b a)) a) (* (* (* 2 b) (* b a)) a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* 2 b) (* b a)) a) (* (* (* 2 b) (* b a)) a))) (+ (* (* (* (- 81 (pow a 4)) (+ 1 (pow a 3))) (* b b)) (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (* a a) (- 27 (pow a 3)))) (- 1 (pow a 4))))) (* (* 4 (* (+ 3 a) (+ (* a a) (- 1 a)))) (+ (* (* (* (* 2 b) (* b a)) a) (- (* (* (* 2 b) (* b a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 2006 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (* (+ (* (+ 3 a) a) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))) (+ 9 (* a a)))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (* (+ (* a a) -1) (- 27 (pow a 3))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (+ (* (+ (* (+ 3 a) a) 9) (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (- 81 (pow a 4)) (* b b)))) (* (+ 9 (* a a)) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))))))) (* (* 4 (* (+ a -1) (+ 9 (* (+ 3 a) a)))) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (* (+ (* (+ 3 a) a) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))) (+ 9 (* a a)))) (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* (* a a) 2) (* b b)) 3)) (* (+ (* a a) -1) (- 27 (pow a 3))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (+ (* (+ (* (+ 3 a) a) 9) (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (- 81 (pow a 4)) (* b b)))) (* (+ 9 (* a a)) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))))))) (* (* 4 (* (+ a -1) (+ 9 (* (+ 3 a) a)))) (+ (* (- (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4))) (* (* (* a a) 2) (* b b))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 2007 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (* (+ (* a (+ 3 a)) 9) (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (- 81 (pow a 4)) (* b b)))) (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a)))) (+ 9 (* a a))))) (* (* 4 (* (- a 1) (+ 3 a))) (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (* (* b b) (* 2 (* a a))) 3) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ (* a a) -1) (- 9 (* a a)))) (* (* (* (* (+ 1 (* a a)) (+ 9 (* a a))) (+ (* a a) (- 1 a))) (+ (* a (+ 3 a)) 9)) (* (+ (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (* (+ (* a (+ 3 a)) 9) (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (- 81 (pow a 4)) (* b b)))) (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a)))) (+ 9 (* a a))))) (* (* 4 (* (- a 1) (+ 3 a))) (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (pow (* (* b b) (* 2 (* a a))) 3) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ (* a a) -1) (- 9 (* a a)))) (* (* (* (* (+ 1 (* a a)) (+ 9 (* a a))) (+ (* a a) (- 1 a))) (+ (* a (+ 3 a)) 9)) (* (+ (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 2008 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2))) (+ (* (+ (* (+ 3 a) a) 9) (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (+ 1 (pow a 3)) (* b b)))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))))) (* (* 4 (+ (* (+ 3 a) a) 9)) (+ (* (* (* (* b b) (* a a)) 2) (- (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ 9 (* a a)) (* (+ (* (+ 3 a) a) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))))) (* (* (- 27 (pow a 3)) (+ a 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2))) (+ (* (+ (* (+ 3 a) a) 9) (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (+ 1 (pow a 3)) (* b b)))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4)))))) (* (* 4 (+ (* (+ 3 a) a) 9)) (+ (* (* (* (* b b) (* a a)) 2) (- (* (* (* b b) (* a a)) 2) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ 9 (* a a)) (* (+ (* (+ 3 a) a) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))))) (* (* (- 27 (pow a 3)) (+ a 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)) (- (- (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 2009 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (218 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (* (+ 1 (* a a)) (* (+ (* a (+ 3 a)) 9) (* (+ 9 (* a a)) (+ (* a a) (- 1 a)))))) (* (* (- 9 (* a a)) (+ a 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (+ (* (+ (* a (+ 3 a)) 9) (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (+ 1 (pow a 3)) (* b b)))) (* (* (* (- 1 (pow a 4)) (+ 9 (* a a))) (+ (* a a) (- 1 a))) (* (* a a) (- 27 (pow a 3)))))) (* (* 4 (+ 3 a)) (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (* (+ 1 (* a a)) (* (+ (* a (+ 3 a)) 9) (* (+ 9 (* a a)) (+ (* a a) (- 1 a)))))) (* (* (- 9 (* a a)) (+ a 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (+ (* (+ (* a (+ 3 a)) 9) (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (+ 1 (pow a 3)) (* b b)))) (* (* (* (- 1 (pow a 4)) (+ 9 (* a a))) (+ (* a a) (- 1 a))) (* (* a a) (- 27 (pow a 3)))))) (* (* 4 (+ 3 a)) (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 2010 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (213 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a)))) (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a))))) (+ (* (+ (* (+ 3 a) a) 9) (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (- 81 (pow a 4)) (* b b)))) (* (- 1 (pow a 4)) (* (* (* a a) (- 27 (pow a 3))) (* (+ 9 (* a a)) (+ (* a a) (- 1 a))))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (* (* 2 b) (* b (* a a))) (- (* (* 2 b) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a)))) (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a))))) (* (+ 1 (* a a)) (+ (* (+ 3 a) a) 9))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (- 3 a) (+ 1 (pow a 3)))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))) (pow (+ (pow b 4) (pow a 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a)))) (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a))))) (+ (* (+ (* (+ 3 a) a) 9) (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (- 81 (pow a 4)) (* b b)))) (* (- 1 (pow a 4)) (* (* (* a a) (- 27 (pow a 3))) (* (+ 9 (* a a)) (+ (* a a) (- 1 a))))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (* (* 2 b) (* b (* a a))) (- (* (* 2 b) (* b (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a)))) (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a))))) (* (+ 1 (* a a)) (+ (* (+ 3 a) a) 9))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (- 3 a) (+ 1 (pow a 3)))) (+ (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))) (pow (+ (pow b 4) (pow a 4)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 2011 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (213 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a))))) (+ (* (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (- 81 (pow a 4)) (* b b))) (+ (* a (+ 3 a)) 9)) (* (+ 9 (* a a)) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))))))) (* (* 4 (+ -1 a)) (+ (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a))))) (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (- 3 a) (+ (* a a) -1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* b b) (* a a))) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a))))) (+ (* (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (- 81 (pow a 4)) (* b b))) (+ (* a (+ 3 a)) 9)) (* (+ 9 (* a a)) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))))))) (* (* 4 (+ -1 a)) (+ (* (* 2 (* (* b b) (* a a))) (- (* 2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* 2 (* (* b b) (* a a))) (* 2 (* (* b b) (* a a))))) (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (- 3 a) (+ (* a a) -1))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* 2 (* (* b b) (* a a))) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 2012 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (* a (* (* 2 b) (* b a))))) (+ (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))) (- (+ (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a))))))) (* (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ 3 a))))) (- (+ (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a))))) (+ (* (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (- 81 (pow a 4)) (* b b))) (+ (* a (+ 3 a)) 9)) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (* a a) (- 27 (pow a 3)))) (- 1 (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (* a (* (* 2 b) (* b a))))) (+ (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a)))) (- (+ (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a))))))) (* (* (* 4 (* (+ (* a a) (- 1 a)) (+ 9 (* a (+ 3 a))))) (- (+ (pow b 4) (pow a 4)) (* a (* (* 2 b) (* b a))))) (+ (* (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (- 81 (pow a 4)) (* b b))) (+ (* a (+ 3 a)) 9)) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (* a a) (- 27 (pow a 3)))) (- 1 (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 2013 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (205 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* b b) (* (+ 1 (pow a 3)) (- 81 (pow a 4)))) (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (* a a) (- 27 (pow a 3)))) (- 1 (pow a 4)))) (* (* (* 4 (* (+ 3 a) (+ (* a a) (- 1 a)))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))) (* (* (+ (* a (+ 3 a)) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))) (+ 9 (* a a)))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* b b) (* (+ 1 (pow a 3)) (- 81 (pow a 4)))) (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (* a a) (- 27 (pow a 3)))) (- 1 (pow a 4)))) (* (* (* 4 (* (+ 3 a) (+ (* a a) (- 1 a)))) (- (+ (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))))) (* (* (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))) (* (* (+ (* a (+ 3 a)) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))) (+ 9 (* a a)))) (* (* (+ 1 (pow a 3)) (- 9 (* a a))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 2014 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (+ (* a (+ 3 a)) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))) (+ 9 (* a a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (- (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ (* a a) -1) (- 27 (pow a 3)))))) (* (* (* (* (+ -1 a) (+ 9 (* a (+ 3 a)))) (- (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) 4) (+ (* (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (+ 1 (pow a 3)) (* b b))) (+ (* a (+ 3 a)) 9)) (* (- 27 (pow a 3)) (* (* (* a a) (- 1 (pow a 4))) (* (+ 9 (* a a)) (+ (* a a) (- 1 a)))))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (* (+ (* (* (* (+ (* a (+ 3 a)) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))) (+ 9 (* a a))) (* (+ (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (- (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (* (+ (* a a) -1) (- 27 (pow a 3)))))) (* (* (* (* (+ -1 a) (+ 9 (* a (+ 3 a)))) (- (+ (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) 4) (+ (* (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (+ 1 (pow a 3)) (* b b))) (+ (* a (+ 3 a)) 9)) (* (- 27 (pow a 3)) (* (* (* a a) (- 1 (pow a 4))) (* (+ 9 (* a a)) (+ (* a a) (- 1 a)))))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 2015 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* a (+ 3 a)) 9) (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (- 81 (pow a 4)) (* b b)))) (* (- 1 (pow a 4)) (* (* (* a a) (- 27 (pow a 3))) (* (+ 9 (* a a)) (+ (* a a) (- 1 a)))))) (* (* (* 4 (* (+ 3 a) (+ -1 a))) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))))) (* (* (* (- 9 (* a a)) (+ (* a a) -1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))) (* (* (+ 1 (* a a)) (* (+ (* a (+ 3 a)) 9) (* (+ 9 (* a a)) (+ (* a a) (- 1 a))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* a (+ 3 a)) 9) (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (- 81 (pow a 4)) (* b b)))) (* (- 1 (pow a 4)) (* (* (* a a) (- 27 (pow a 3))) (* (+ 9 (* a a)) (+ (* a a) (- 1 a)))))) (* (* (* 4 (* (+ 3 a) (+ -1 a))) (+ (* -2 (* (* b b) (* a a))) (+ (pow b 4) (pow a 4)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))))) (* (* (* (- 9 (* a a)) (+ (* a a) -1)) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))) (* (* (+ 1 (* a a)) (* (+ (* a (+ 3 a)) 9) (* (+ 9 (* a a)) (+ (* a a) (- 1 a))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 2016 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ a 1) (- 27 (pow a 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)) (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)))) (* (* (+ (* a (+ 3 a)) 9) (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (+ 1 (* a a)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2))))) (* (+ (* (* (* b b) (* (+ 1 (pow a 3)) (- 81 (pow a 4)))) (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9))) (* (+ 9 (* a a)) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a)))))) (* (* (* 4 (+ (* a (+ 3 a)) 9)) (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ a 1) (- 27 (pow a 3))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)) (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2)))) (* (* (+ (* a (+ 3 a)) 9) (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (+ 1 (* a a)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2))))) (* (+ (* (* (* b b) (* (+ 1 (pow a 3)) (- 81 (pow a 4)))) (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9))) (* (+ 9 (* a a)) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a)))))) (* (* (* 4 (+ (* a (+ 3 a)) 9)) (- (+ (pow b 4) (pow a 4)) (* (* (* b b) (* a a)) 2))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* a a)) 2) (* (* (* b b) (* a a)) 2)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 2017 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (203 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (- 81 (pow a 4)) (* b b)) (+ 1 (pow a 3))) (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9))) (* (* (* (- 1 (pow a 4)) (+ 9 (* a a))) (+ (* a a) (- 1 a))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (+ 3 a)) (- (+ (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a))))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a)))) (+ (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a))))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a)))) (+ (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a))))) (* (+ 9 (* a a)) (* (+ (* a (+ 3 a)) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))))) (* (* (* (+ a 1) (- 9 (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a))))) (- (+ (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (- 81 (pow a 4)) (* b b)) (+ 1 (pow a 3))) (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9))) (* (* (* (- 1 (pow a 4)) (+ 9 (* a a))) (+ (* a a) (- 1 a))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (+ 3 a)) (- (+ (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a))))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a)))) (+ (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a))))))) (* (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a)))) (+ (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a))))) (* (+ 9 (* a a)) (* (+ (* a (+ 3 a)) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a)))))) (* (* (* (+ a 1) (- 9 (* a a))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a))))) (- (+ (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 2018 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (* (+ (* a (+ 3 a)) 9) (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (+ 1 (* a a))))) (* (* (- 3 a) (+ 1 (pow a 3))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (- (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))))) (* (+ (* (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (+ 1 (pow a 3)) (* b b))) (+ (* a (+ 3 a)) 9)) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4))))) (* (* (* 4 (+ (* a a) (- 1 a))) (- (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a))))) (* (+ (* a (+ 3 a)) 9) (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (+ 1 (* a a))))) (* (* (- 3 a) (+ 1 (pow a 3))) (* (+ (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a)))) (- (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))))) (* (+ (* (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (+ 1 (pow a 3)) (* b b))) (+ (* a (+ 3 a)) 9)) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (- 27 (pow a 3))) (* (* a a) (- 1 (pow a 4))))) (* (* (* 4 (+ (* a a) (- 1 a))) (- (+ (pow b 4) (pow a 4)) (* a (* (* b b) (* 2 a))))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* b b) (* 2 a))) (* a (* (* b b) (* 2 a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 2019 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (+ 1 (pow a 3)) (* (- 81 (pow a 4)) (* b b))) (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9))) (* (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ 9 (* a a))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (- a 1)) (- (+ (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* 2 b) (* b a)) a) (* (* (* 2 b) (* b a)) a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* 2 b) (* b a)) a) (* (* (* 2 b) (* b a)) a))) (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (+ (* a a) -1) (- 3 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* 2 b) (* b a)) a) (* (* (* 2 b) (* b a)) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (+ 1 (pow a 3)) (* (- 81 (pow a 4)) (* b b))) (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9))) (* (* (* (- 1 (pow a 4)) (+ (* a a) (- 1 a))) (+ 9 (* a a))) (* (* a a) (- 27 (pow a 3))))) (* (* (* 4 (- a 1)) (- (+ (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* 2 b) (* b a)) a) (* (* (* 2 b) (* b a)) a))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* 2 b) (* b a)) a) (* (* (* 2 b) (* b a)) a))) (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (+ (* a a) -1) (- 3 a))) (- (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))) (* (* (* (* 2 b) (* b a)) a) (* (* (* 2 b) (* b a)) a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (- a 1)))))) 1)) * * * * [misc]progress: [ 2020 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * [exit]simplify: Simplified to (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a)))) (+ (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a))))) (* (+ 1 (* a a)) (+ (* (+ 3 a) a) 9))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a)))))) (* (+ (* (+ (* (+ 3 a) a) 9) (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (+ 1 (pow a 3)) (* b b)))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (* a a) (- 27 (pow a 3)))) (- 1 (pow a 4)))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* (+ 3 a) a) 9)) (* (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a)))) (+ (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a)))) (+ (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a))))) (* (+ 1 (* a a)) (+ (* (+ 3 a) a) 9))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (+ 1 (pow a 3)) (- 27 (pow a 3)))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a)))))) (* (+ (* (+ (* (+ 3 a) a) 9) (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (+ 1 (pow a 3)) (* b b)))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (* a a) (- 27 (pow a 3)))) (- 1 (pow a 4)))) (* (* (* 4 (+ (* a a) (- 1 a))) (+ (* (+ 3 a) a) 9)) (* (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a)))) (+ (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 2021 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) (* (+ 1 (* a a)) (* (+ (* a (+ 3 a)) 9) (* (+ 9 (* a a)) (+ (* a a) (- 1 a)))))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (+ 1 (pow a 3)) (- 9 (* a a))))) (* (+ (* (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (+ 1 (pow a 3)) (* b b))) (+ (* a (+ 3 a)) 9)) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (* a a) (- 27 (pow a 3)))) (- 1 (pow a 4)))) (* (* (* 4 (+ 3 a)) (+ (* a a) (- 1 a))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) (* (+ 1 (* a a)) (* (+ (* a (+ 3 a)) 9) (* (+ 9 (* a a)) (+ (* a a) (- 1 a)))))) (* (+ (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (+ 1 (pow a 3)) (- 9 (* a a))))) (* (+ (* (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (+ 1 (pow a 3)) (* b b))) (+ (* a (+ 3 a)) 9)) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (* a a) (- 27 (pow a 3)))) (- 1 (pow a 4)))) (* (* (* 4 (+ 3 a)) (+ (* a a) (- 1 a))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 2022 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * [exit]simplify: Simplified to (+ (* (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (+ (* (+ 3 a) a) 9)) (+ 1 (* a a))) (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (- 27 (pow a 3)) (+ (* a a) -1))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (+ (* (+ 3 a) a) 9) (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (- 81 (pow a 4)) (* b b)))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (* a a) (- 27 (pow a 3)))) (- 1 (pow a 4)))) (* (* (* 4 (+ -1 a)) (+ (* (+ 3 a) a) 9)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (+ (* (+ 3 a) a) 9)) (+ 1 (* a a))) (* (* (+ (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4))) (* (- 27 (pow a 3)) (+ (* a a) -1))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))))) (* (+ (* (+ (* (+ 3 a) a) 9) (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (- 81 (pow a 4)) (* b b)))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (* a a) (- 27 (pow a 3)))) (- 1 (pow a 4)))) (* (* (* 4 (+ -1 a)) (+ (* (+ 3 a) a) 9)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 2023 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (* (- a 1) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (60 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (+ (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (- 9 (* a a)) (+ (* a a) -1))) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (* (* (- 81 (pow a 4)) (* b b)) (+ 1 (pow a 3))) (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9))) (* (- 1 (pow a 4)) (* (* (* a a) (- 27 (pow a 3))) (* (+ 9 (* a a)) (+ (* a a) (- 1 a)))))) (* (* (* 4 (+ 3 a)) (+ -1 a)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9)) (* (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (- 9 (* a a)) (+ (* a a) -1))) (+ (* (* (* a a) 2) (* b b)) (+ (pow b 4) (pow a 4)))) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))) (* (+ (* (* (* (- 81 (pow a 4)) (* b b)) (+ 1 (pow a 3))) (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9))) (* (- 1 (pow a 4)) (* (* (* a a) (- 27 (pow a 3))) (* (+ 9 (* a a)) (+ (* a a) (- 1 a)))))) (* (* (* 4 (+ 3 a)) (+ -1 a)) (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))) (- (- (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- a 1) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 2024 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* 3 3) (+ (* a a) (* 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (181 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ 1 (* a a)) (+ (* (+ 3 a) a) 9)) (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))) (* (* (- 27 (pow a 3)) (+ a 1)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))))) (* (+ (* (+ (* (+ 3 a) a) 9) (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (- 81 (pow a 4)) (* b b)))) (* (* (* a a) (- 27 (pow a 3))) (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (- 1 (pow a 4))))) (* (* (+ (* (+ 3 a) a) 9) 4) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ 1 (* a a)) (+ (* (+ 3 a) a) 9)) (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))) (* (* (- 27 (pow a 3)) (+ a 1)) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))))) (* (+ (* (+ (* (+ 3 a) a) 9) (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (- 81 (pow a 4)) (* b b)))) (* (* (* a a) (- 27 (pow a 3))) (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (- 1 (pow a 4))))) (* (* (+ (* (+ 3 a) a) 9) 4) (* (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (+ (* 3 3) (+ (* a a) (* 3 a))))))) 1)) * * * * [misc]progress: [ 2025 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ 3 a)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (187 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (* (+ (* a (+ 3 a)) 9) (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ 9 (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (+ a 1) (- 9 (* a a))))) (* (+ (* (+ (* a (+ 3 a)) 9) (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (+ 1 (pow a 3)) (* b b)))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3))))) (* (+ (* 4 a) 12) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (* (+ (* a (+ 3 a)) 9) (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ 9 (* a a))))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* b b) (* 2 a)) a)) (* (+ a 1) (- 9 (* a a))))) (* (+ (* (+ (* a (+ 3 a)) 9) (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (+ 1 (pow a 3)) (* b b)))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (- 1 (pow a 4))) (* (* a a) (- 27 (pow a 3))))) (* (+ (* 4 a) 12) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (+ 3 a))))) 1)) * * * * [misc]progress: [ 2026 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* a a) (- (* 1 1) (* a 1)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (56 enodes) * * [misc]simplify: iters left: 5 (181 enodes) * [exit]simplify: Simplified to (+ (* (* (+ 1 (* a a)) (+ (* (+ 3 a) a) 9)) (* (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (+ 1 (pow a 3)) (- 3 a))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a))))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a)))) (+ (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a))))))) (* (+ (* (+ (* (+ 3 a) a) 9) (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (+ 1 (pow a 3)) (* b b)))) (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (pow a 4)) (+ 9 (* a a))) (+ (* a a) (- 1 a))))) (* (* (+ (* a a) (- 1 a)) 4) (* (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a)))) (+ (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ 1 (* a a)) (+ (* (+ 3 a) a) 9)) (* (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (+ 1 (pow a 3)) (- 3 a))) (+ (+ (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a))))) (* (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a)))) (+ (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a))))))) (* (+ (* (+ (* (+ 3 a) a) 9) (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (+ 1 (pow a 3)) (* b b)))) (* (* (* a a) (- 27 (pow a 3))) (* (* (- 1 (pow a 4)) (+ 9 (* a a))) (+ (* a a) (- 1 a))))) (* (* (+ (* a a) (- 1 a)) 4) (* (- (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a)))) (+ (- (pow b 4) (pow a 4)) (* (* 2 b) (* b (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (+ (* a a) (- (* 1 1) (* a 1))))))) 1)) * * * * [misc]progress: [ 2027 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- a 1)) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (+ 1 (pow a 3)) (* b b))) (+ (* a (+ 3 a)) 9)) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (* a a) (- 27 (pow a 3)))) (- 1 (pow a 4)))) (* (* 4 (- a 1)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (+ (* a a) -1) (- 3 a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (+ 1 (pow a 3)) (* b b))) (+ (* a (+ 3 a)) 9)) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (* a a) (- 27 (pow a 3)))) (- 1 (pow a 4)))) (* (* 4 (- a 1)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) 2) (* b b)) (* (* (* a a) 2) (* b b)))) (* (+ 1 (* a a)) (+ (* a (+ 3 a)) 9))) (* (* (* (+ 9 (* a a)) (+ (* a a) (- 1 a))) (* (+ (* a a) -1) (- 3 a))) (+ (+ (pow b 4) (pow a 4)) (* (* (* a a) 2) (* b b)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (- a 1))))) 1)) * * * * [misc]progress: [ 2028 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (63 enodes) * * [misc]simplify: iters left: 5 (211 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (+ 1 (pow a 3)) (* b b))) (+ (* (+ 3 a) a) 9)) (* (+ 9 (* a a)) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a)))))) 4)) (* (* (* (+ 9 (* a a)) (* (+ (* (+ 3 a) a) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a))))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))) (* (* (- 3 a) (+ a 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))) (* (+ (* (* (* (+ 1 (* a a)) (- 81 (pow a 4))) (* (+ 1 (pow a 3)) (* b b))) (+ (* (+ 3 a) a) 9)) (* (+ 9 (* a a)) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a)))))) 4)) (* (* (* (+ 9 (* a a)) (* (+ (* (+ 3 a) a) 9) (* (+ 1 (* a a)) (+ (* a a) (- 1 a))))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* 8 (pow (* (* b b) (* a a)) 3)))) (* (* (- 3 a) (+ a 1)) (* (+ (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))))) 1)) * * * * [misc]progress: [ 2029 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (+ (pow a 3) (pow 1 3)) (* b b)) (- (* 9 9) (* (* a a) (* a a)))))) 4) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ a 1) (- 3 a)))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (+ (* a (+ 3 a)) 9) (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (- 81 (pow a 4)) (* b b)))) (* (+ 9 (* a a)) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a)))))) (* (* (- (+ (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a)) 4) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* 2 b) (* b a)) a) (* (* (* 2 b) (* b a)) a))))) (* (* (* (+ (* a (+ 3 a)) 9) (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ 9 (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a)) (- (+ (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a)))) (* (* (- 3 a) (+ a 1)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* 2 b) (* b a)) a) (* (* (* 2 b) (* b a)) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (+ (* (+ (* a (+ 3 a)) 9) (* (* (+ 1 (* a a)) (+ 1 (pow a 3))) (* (- 81 (pow a 4)) (* b b)))) (* (+ 9 (* a a)) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ (* a a) (- 1 a)))))) (* (* (- (+ (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a)) 4) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* 2 b) (* b a)) a) (* (* (* 2 b) (* b a)) a))))) (* (* (* (+ (* a (+ 3 a)) 9) (* (* (+ 1 (* a a)) (+ (* a a) (- 1 a))) (+ 9 (* a a)))) (* (+ (+ (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a)) (- (+ (pow b 4) (pow a 4)) (* (* (* 2 b) (* b a)) a)))) (* (* (- 3 a) (+ a 1)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* 2 b) (* b a)) a) (* (* (* 2 b) (* b a)) a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 9 (* a a)))) (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))))) 1)) * * * * [misc]progress: [ 2030 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (+ (pow a 3) 1) (- 27 (pow a 3)))) (* (* (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* 81 (+ -1 a))) (* (+ (* a (+ 3 a)) 9) (+ 1 (* a a)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))) (+ (* (+ (+ 81 (pow a 4)) (* (* a 9) a)) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ -1 a)))) (* (* (+ (* a (+ 3 a)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ (* a a) -1) (* b b)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ (* a (+ 3 a)) 9))) (+ (* (* (* (* a a) (* 2 b)) b) (- (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a))))) (* (+ (pow a 3) 1) (- 27 (pow a 3)))) (* (* (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* 81 (+ -1 a))) (* (+ (* a (+ 3 a)) 9) (+ 1 (* a a)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))) (+ (* (+ (+ 81 (pow a 4)) (* (* a 9) a)) (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ -1 a)))) (* (* (+ (* a (+ 3 a)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ (* a a) -1) (* b b)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ (* a (+ 3 a)) 9))) (+ (* (* (* (* a a) (* 2 b)) b) (- (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 2031 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (242 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (+ (* (* (* (* a a) (- 1 (pow a 4))) (- 27 (pow a 3))) (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* 81 (+ -1 a)))) (* (* (+ (* a (+ 3 a)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ (* a a) -1) (* b b)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 3 a))) (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))) (* (* (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* 81 (+ -1 a))) (* (+ (* a (+ 3 a)) 9) (+ 1 (* a a)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a))) (+ (* (* (* (* a a) (- 1 (pow a 4))) (- 27 (pow a 3))) (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* 81 (+ -1 a)))) (* (* (+ (* a (+ 3 a)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ (* a a) -1) (* b b)))))) (* (* 4 (* (+ (* a a) (- 1 a)) (+ 3 a))) (+ (* (* (* (* b b) (* 2 a)) a) (- (* (* (* b b) (* 2 a)) a) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (- 9 (* a a)) (+ (pow a 3) 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))) (* (* (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* 81 (+ -1 a))) (* (+ (* a (+ 3 a)) 9) (+ 1 (* a a)))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* b b) (* 2 a)) a) (* (* (* b b) (* 2 a)) a)))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 2032 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (225 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) (+ (* (* (* (- 1 (pow a 4)) (- 27 (pow a 3))) (* a a)) (+ (* (* (+ a -1) (* a a)) (+ 9 (* a a))) (* (+ a -1) 81))) (* (* (+ (* a (+ 3 a)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ (* a a) -1) (* b b)))))) (* (* 4 (* (+ a -1) (+ 9 (* a (+ 3 a))))) (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) (* (+ (* (* (+ a -1) (* a a)) (+ 9 (* a a))) (* (+ a -1) 81)) (* (+ (* a (+ 3 a)) 9) (+ 1 (* a a))))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) (+ (* (* (* (- 1 (pow a 4)) (- 27 (pow a 3))) (* a a)) (+ (* (* (+ a -1) (* a a)) (+ 9 (* a a))) (* (+ a -1) 81))) (* (* (+ (* a (+ 3 a)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ (* a a) -1) (* b b)))))) (* (* 4 (* (+ a -1) (+ 9 (* a (+ 3 a))))) (+ (* (* (* b b) (* 2 (* a a))) (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) (* (+ (* (* (+ a -1) (* a a)) (+ 9 (* a a))) (* (+ a -1) 81)) (* (+ (* a (+ 3 a)) 9) (+ 1 (* a a))))) (* (* (+ (* a a) -1) (- 27 (pow a 3))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ (* 3 3) (+ (* a a) (* 3 a))))))))) 1)) * * * * [misc]progress: [ 2033 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a)))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (+ (* (* (* (- 1 (pow a 4)) (+ a -1)) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ (* a (+ 3 a)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ (* a a) -1) (* b b)))))) (* (* 4 (* (+ a -1) (+ 3 a))) (+ (* (- (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* 2 b)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (* (+ (* a (+ 3 a)) 9) (+ 1 (* a a)))) (* (* (+ (* (+ a -1) 81) (* (* (+ a -1) (* a a)) (+ (* a a) 9))) (* (- 9 (* a a)) (+ (* a a) -1))) (+ (pow (* (* (* a a) (* 2 b)) b) 3) (pow (+ (pow b 4) (pow a 4)) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (+ (* (* (* (- 1 (pow a 4)) (+ a -1)) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ (* a (+ 3 a)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ (* a a) -1) (* b b)))))) (* (* 4 (* (+ a -1) (+ 3 a))) (+ (* (- (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4))) (* (* (* a a) (* 2 b)) b)) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b)) (- (- (pow b 4) (pow a 4)) (* (* (* a a) (* 2 b)) b))) (* (+ (* a (+ 3 a)) 9) (+ 1 (* a a)))) (* (* (+ (* (+ a -1) 81) (* (* (+ a -1) (* a a)) (+ (* a a) 9))) (* (- 9 (* a a)) (+ (* a a) -1))) (+ (pow (* (* (* a a) (* 2 b)) b) 3) (pow (+ (pow b 4) (pow a 4)) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (* (- a 1) (+ 3 a))))))) 1)) * * * * [misc]progress: [ 2034 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (223 enodes) * [exit]simplify: Simplified to (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (* a (* (* 2 b) (* b a))))) (+ (* (* (* (* a a) (- 1 (pow a 4))) (- 27 (pow a 3))) (+ (* (* (+ -1 a) (* a a)) (+ 9 (* a a))) (* (+ -1 a) 81))) (* (* (+ (* a (+ 3 a)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ (* a a) -1) (* b b)))))) (* (* 4 (+ (* a (+ 3 a)) 9)) (+ (* (* a (* (* 2 b) (* b a))) (- (* a (* (* 2 b) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (* (* (+ -1 a) (* a a)) (+ 9 (* a a))) (* (+ -1 a) 81)) (* (+ (* a (+ 3 a)) 9) (+ 1 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* a (* (* 2 b) (* b a))) 3))) (* (* (- 27 (pow a 3)) (+ a 1)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (* a (* (* 2 b) (* b a)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (* a (* (* 2 b) (* b a))))) (+ (* (* (* (* a a) (- 1 (pow a 4))) (- 27 (pow a 3))) (+ (* (* (+ -1 a) (* a a)) (+ 9 (* a a))) (* (+ -1 a) 81))) (* (* (+ (* a (+ 3 a)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ (* a a) -1) (* b b)))))) (* (* 4 (+ (* a (+ 3 a)) 9)) (+ (* (* a (* (* 2 b) (* b a))) (- (* a (* (* 2 b) (* b a))) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (* (* (+ -1 a) (* a a)) (+ 9 (* a a))) (* (+ -1 a) 81)) (* (+ (* a (+ 3 a)) 9) (+ 1 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* a (* (* 2 b) (* b a))) 3))) (* (* (- 27 (pow a 3)) (+ a 1)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* a (* (* 2 b) (* b a))) (* a (* (* 2 b) (* b a)))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* 3 3) (+ (* a a) (* 3 a)))))))) 1)) * * * * [misc]progress: [ 2035 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ a 1) (- (* 3 3) (* a a))))))) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (* (* (* a a) (* (- 27 (pow a 3)) (- 1 (pow a 4)))) (+ (* 81 (+ a -1)) (* (* (+ a -1) (* a a)) (+ (* a a) 9)))) (* (* (+ (* a (+ 3 a)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ (* a a) -1) (* b b)))))) (* (* 4 (+ 3 a)) (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (+ (* 81 (+ a -1)) (* (* (+ a -1) (* a a)) (+ (* a a) 9))) (* (+ (* a (+ 3 a)) 9) (+ 1 (* a a))))) (* (* (- 9 (* a a)) (+ a 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (+ (* (* (* a a) (* (- 27 (pow a 3)) (- 1 (pow a 4)))) (+ (* 81 (+ a -1)) (* (* (+ a -1) (* a a)) (+ (* a a) 9)))) (* (* (+ (* a (+ 3 a)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ (* a a) -1) (* b b)))))) (* (* 4 (+ 3 a)) (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4)))))) (* (* (* (+ (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a)))) (- (- (pow b 4) (pow a 4)) (* (* b b) (* 2 (* a a))))) (* (+ (* 81 (+ a -1)) (* (* (+ a -1) (* a a)) (+ (* a a) 9))) (* (+ (* a (+ 3 a)) 9) (+ 1 (* a a))))) (* (* (- 9 (* a a)) (+ a 1)) (+ (pow (+ (pow b 4) (pow a 4)) 3) (pow (* (* b b) (* 2 (* a a))) 3))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ 3 a)))))) 1)) * * * * [misc]progress: [ 2036 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (+ (pow a 3) (pow 1 3)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (69 enodes) * * [misc]simplify: iters left: 5 (235 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (* 8 (pow (* (* b b) (* a a)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* (+ -1 a) 81)) (* (+ (* a (+ 3 a)) 9) (+ 1 (* a a))))) (* (* (- 3 a) (+ 1 (pow a 3))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))) (+ (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ -1 a))) (+ (+ 81 (pow a 4)) (* (* a 9) a))) (* (* (+ (* a (+ 3 a)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ (* a a) -1) (* b b)))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (* (* (* a a) (* 2 b)) b) (- (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (+ (* 8 (pow (* (* b b) (* a a)) 3)) (pow (+ (pow b 4) (pow a 4)) 3)) (* (+ (* (* (+ -1 a) (* a a)) (+ (* a a) 9)) (* (+ -1 a) 81)) (* (+ (* a (+ 3 a)) 9) (+ 1 (* a a))))) (* (* (- 3 a) (+ 1 (pow a 3))) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* (* a a) (* 2 b)) b) (* (* (* a a) (* 2 b)) b))) (+ (* (* (* (* a a) (- 27 (pow a 3))) (* (- 1 (pow a 4)) (+ -1 a))) (+ (+ 81 (pow a 4)) (* (* a 9) a))) (* (* (+ (* a (+ 3 a)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ (* a a) -1) (* b b)))))) (* (* 4 (+ (* a a) (- 1 a))) (+ (* (* (* (* a a) (* 2 b)) b) (- (* (* (* a a) (* 2 b)) b) (+ (pow b 4) (pow a 4)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (+ (* a a) (- (* 1 1) (* a 1)))))))) 1)) * * * * [misc]progress: [ 2037 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (pow (+ (pow a 4) (pow b 4)) 3) (pow (* (* 2 (* b b)) (* a a)) 3)) (* (- (* a a) (* 1 1)) (- 3 a)))))) * * [misc]simplify: iters left: 6 (64 enodes) * * [misc]simplify: iters left: 5 (218 enodes) * [exit]simplify: Simplified to (+ (* (* (* (+ (* 81 (+ -1 a)) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))) (* (+ (* a (+ 3 a)) 9) (+ 1 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))) (* (* (+ (* a a) -1) (- 3 a)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) (+ (* (* (* (- 1 (pow a 4)) (+ -1 a)) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ (* a (+ 3 a)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ (* a a) -1) (* b b)))))) (* (* 4 (+ -1 a)) (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (- (/ (+ (* (* (* (+ (* 81 (+ -1 a)) (* (* (+ -1 a) (* a a)) (+ (* a a) 9))) (* (+ (* a (+ 3 a)) 9) (+ 1 (* a a)))) (+ (pow (+ (pow b 4) (pow a 4)) 3) (* (* (* (* b b) (* 2 a)) (* (* b b) (* 2 a))) (* (* (* a a) 2) (* (* b b) (* a a)))))) (* (* (+ (* a a) -1) (- 3 a)) (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))))) (* (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* b b) (* 2 (* a a))) (* (* b b) (* 2 (* a a))))) (+ (* (* (* (- 1 (pow a 4)) (+ -1 a)) (+ (+ 81 (pow a 4)) (* 9 (* a a)))) (* (* a a) (- 27 (pow a 3)))) (* (* (+ (* a (+ 3 a)) 9) (+ 1 (* a a))) (* (- 729 (* (pow a 3) (pow a 3))) (* (+ (* a a) -1) (* b b)))))) (* (* 4 (+ -1 a)) (+ (* (- (* (* b b) (* 2 (* a a))) (+ (pow b 4) (pow a 4))) (* (* b b) (* 2 (* a a)))) (* (+ (pow b 4) (pow a 4)) (+ (pow b 4) (pow a 4))))))) (* (* (- (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* (+ 1 a) (- 3 a))) (* (+ (- (pow b 4) (pow a 4)) (* (* 2 (* b b)) (* a a))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (+ (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (- (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a))) (* (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))))) (- a 1)))))) 1)) * * * * [misc]progress: [ 2038 / 5267 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (- (pow b 4) (pow a 4)) (- (pow b 4) (pow a 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (+ (* (* (+ (* (* (* (- (pow 3 3) (pow a 3)) (* a a)) (- (* 1 1) (* (* a a) (* a a)))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (* (- (* a a) (* 1 1)) (* b b)) (- (pow 9 3) (pow (* a a) 3))))) 4) (* (- (+ (pow a 4) (pow b 4)) (* (* 2 (* b b)) (* a a))) (* (+ (* a a) (- (* 1 1) (* a 1))) (+ (* 3 3) (+ (* a a) (* 3 a)))))) (* (* (* (+ (* 3 3) (+ (* a a) (* 3 a))) (+ 1 (* a a))) (* (- a 1) (+ (* 9 9) (+ (* (* a a) (* a a)) (* 9 (* a a)))))) (* (- (* (+ (pow a 4) (pow b 4)) (+ (pow a 4) (pow b 4))) (* (* (* 2 (* b b)) (* a a)) (* (* 2 (* b b)) (* a a)))) (* (+ (pow a 3) (pow 1 3)) (- (pow 3 3) (pow a 3))))))) * * [misc]simplify: iters left: 6 (65 enodes) * * [misc]simplify: iters left: 5 (222 enodes)